Exponentially weighted moving average example

Simple, Exponential, and Weighted Moving Average

The exponential moving average (EMA) is a weighted average of recent period's prices. It uses an exponentially decreasing weight from each previous price/period. In other words, the formula gives recent prices more weight than past prices. For example, a four-period EMA has prices of 1.5554, 1.5555, 1.5558, and 1.5560 The Exponentially Weighted Moving Average (EWMA) is a quantitative or statistical measure used to model or describe a time series. The EWMA is widely used in finance, the main applications being technical analysis and volatility modeling. The moving average is designed as such that older observations are given lower weights Exponentially weighted moving average estimation is widely used, but it is a modest improvement over UWMA. It does not attempt to model market conditional heteroskedasticity any more than UWMA does. Its weighting scheme replaces the quandary of how much data to use with a similar quandary as to how aggressive a decay factor λ to use The formula states that the value of the moving average(S) at time t is a mix between the value of raw signal(x) at time t and the previous value of the moving average itself i.e. t-1

Exponentially Weighted Moving Average (EWMA) - Formula

It certainly is one of the dullest methods to do it, but in some cases, the moving average may be enough. The method works well if we can make two assumptions about data: The values are Gaussian distributed around the mean. There is no seasonality. In my example, I used the daily number of visitors on my website. I had to split the data into workday and weekend data because of the huge difference in values The exponentially weighted moving average (EWMA) chart was introduced by Roberts (Technometrics 1959) and was originally called a geometric moving average chart. The name was changed to re ect the fact that exponential smoothing serves as the basis of EWMA charts. Like a cusum chart, an EWMA chart is an alternative to a Shewhart individuals or xchart and provides quicker responses to shifts in. Exponentially Weighted Moving Average Control Charts Similarly to the CUSUM chart, the EWMA chart is useful in detecting small shifts in the process mean. These charts are used to monitor the mean of a process based on samples taken from the process at given times (hours, shifts, days, weeks, months, etc.). The measurements of the samples at a given time constitute a subgroup. The EWMA chart. The denominator of the WMA is the sum of the number of price periods as a triangular number. In the example from the table above, the weighted five-day moving average would be $90.62: ( 9 0. 9 0.

Vsub100 is basically an element-wise computation of two metrics/functions — one an exponential decay function containing diminishing values (0.9, 0.9²², 0.⁹³, and another with all the elements of θt. Implementing Exponentially Weighted Average Vsubθ: v is computing exponentially weighted average of parameter θ E.g., in a 10-day moving average, the most recent day receives the same weight as the first day in the window: each price receives a 10% weighting. Compared to the Simple Moving Average, the Linearly Weighted Moving Average (or simply Weighted Moving Average, WMA), gives more weight to the most recent price and gradually less as we look back in time. On a 10-day weighted average, the price of the 10th day would be multiplied by 10, that of the 9th day by 9, the 8th day by 8 and so.

Exponentially weighted moving average (EWMA) is a popular IIR filter. An EWMA filter smoothes a measured data point by exponentially averaging that particular point with all previous measurements. Similar to the mean filter, the EWMA filter is a low pass filter that eliminates high frequency components in the measured signal In statistical quality control, the EWMA chart (or exponentially weighted moving average chart) is a type of control chart used to monitor either variables or attributes-type data using the monitored business or industrial process 's entire history of output

Exponentially Weighted Moving Average (EWMA) Value-at

For a 20-day moving average, the multiplier would be [2/ (20+1)]= 0.0952. Finally, the following formula is used to calculate the current EMA: EMA = Closing price x multiplier + EMA (previous day. Weighted moving average = (Price * weighting factor) + (Price of previous period * weighting factor-1) #3 - Exponential moving average in Excel. It is similar to a simple moving average that measures trends over a period of time. While simple moving average calculates an average of given data, exponential moving average attaches more weight to the current data

Step 1: Calculate the moving average for two periods in March - SUM({12,15})/2; Step 2: Calculate exponential moving average for March- 0.6*15+(1-0.6)*12; Exponential Moving Average Formula - Example #3. Below are the years and the factory sales of a firm A. Let us calculate the ESV using 0.25 and 0.50 weights and plot a graph to understand these trends An example of two moving average curves. In statistics, a moving average (rolling average or running average) is a calculation to analyze data points by creating a series of averages of different subsets of the full data set. It is also called a moving mean (MM) or rolling mean and is a type of finite impulse response filter. Variations include: simple, cumulative, or weighted forms (described. Consider an example of computing the moving average using the exponential weighting method. The forgetting factor is 0.9. The moving average algorithm updates the weight and computes the moving average recursively for each data sample that comes in by using the following recursive equations. λ — Forgetting factor This paper proposes a general multivariate exponentially weighted moving average chart, in which the smoothing matrix is full, instead of one having only diagonal elements. The average run length properties of this scheme are examined for a diverse set of quality control environments and information needed to design the chart is provided. The performance of th Let's use it in a few examples to give you a clearer picture of how to use this formula to calculate the weighted moving average. Example 1 Suppose the closing prices of XYZ stock for the past 3 days have been $50, $45, and $60. Calculate the weighted moving average

So 'exponentially weighted moving average' does actually make sense (to me). $\endgroup$ - Matt L. Feb 3 '15 at 20:18 2 $\begingroup$ +2 to the number names I've seen allocated to that The exponential moving average is a weighted moving average that reduces influences by applying more weight to recent data points () reduction factor 2/ (n+1); or r for``running, this is an exponential moving average with a reduction factor of 1/n [same as the modified average?] EWMA. Exponentially Weighted Moving Average filter is used for smoothing data series readings. Unlike the method with a history buffer that calculates an average of the last N readings, this method consumes significantly less memory and works faster. For example, if you have a wonky ADC, like the one in ESP8266, with a lot of noise, you will. In time series analysis, a moving average is simply the average value of a certain number of previous periods.. An exponential moving average is a type of moving average that gives more weight to recent observations, which means it's able to capture recent trends more quickly.. This tutorial explains how to calculate an exponential moving average for a column of values in a pandas DataFrame An exponentially weighted moving average (EWMA) chart is a type of control chart used to monitor small shifts in the process mean. It weights observations in geometrically decreasing order so that the most recent observations contribute highly while the oldest observations contribute very little. The EWMA chart plots the exponentially weighted moving average of individual measurements or.

As a basic example, you can use this filter for smoothing analog inputs on microcontrollers. Keep in mind that an exponential moving average filter is often more appropriate than a simple moving average filter. The SMA uses much more memory, and is much slower than the EMA. The exponential impulse response of the EMA may be better as well. You can find an Arduino example using an EMA here. In time series analysis, a moving average is simply the average value of a certain number of previous periods.. An exponential moving average is a type of moving average that gives more weight to recent observations, which means it's able to capture recent trends more quickly.. This tutorial explains how to calculate an exponential moving average in R Description. The dsp.MovingAverage System object™ computes the moving average of the input signal along each channel, independently over time. The object uses either the sliding window method or the exponential weighting method to compute the moving average. In the sliding window method, a window of specified length is moved over the data, sample by sample, and the average is computed over. ack_ewma: This is an exponentially weighted moving average of the inter-arrival time between new ACKs received, where each new sample contributes 1/8 of the weight of the moving average. b. send_ewma: This is an exponentially weighted moving average of the time between TCP sender timestamps reflected in those ACKs, with the same weight 1/8 for new samples. c. rtt_ratio: This is the ratio.

The EWMA - Exponentially Weighted Moving Average chart is used in statistical process control to monitor variables (or attributes that act like variables) that make use of the entire history of a given output. This is different from other control charts that tend to treat each data point individually. Each output (previous sample mean) is. Why is the Exponential Moving Average called Exponential The Exponential Moving Average (EMA) is a weighted moving average. Which means that unlike a simple moving average where the values of the far past have the same weight in the calculation as more recent values, a weighted moving average gives greater significance to more recent values than older one

The Exponentially Weighted Moving Average (EWMA) is a statistic for monitoring the process that averages the data in a way that gives less and less weight to data as they are further removed in time. Comparison of Shewhart control chart and EWMA control chart techniques : For the Shewhart chart control technique, the decision regarding the state of control of the process at any time, \(t. Exponentially Weighted Moving Average Charts for Detecting Concept Drift Gordon J. Rossa Niall M. Adamsa, Dimitris K. Tasoulisa, David J. Handa aDepartment of Mathematics, Imperial College, London SW7 2AZ, UK Abstract.Classifying streaming data requires the development of methods which are com-putationally e cient and able to cope with changes in the underlying distribu-tion of the stream, a. The actual PI pattern is averaged by using an exponentially weighted moving average (EWMA) function. The calculation considers current PI observations (interval t in the formula) as well as all preceding PI observations (as far as back to the first observed interval 0 in the formula) of a continuous time series, and weights the values with a user-specified smoothing factor as shown in Figure 2

Moving Averages For monthly data, a 12-month moving average, MA(12), eliminate or averages out seasonal effect. Equal weights are assigned to each observation used in the average. Each new data point is included in the average as it becomes available, and the oldest data point is discarded. Moving Averages A moving average of order k, MA(k) is the value of k consecutive observations. K is the. The exponentially weighted moving average is really just a terrible Infinite Impulse Response (IIR) low-pass filter. It would likely better to just implement a proper single order Butterworth IIR. I'll need to check again, but I vaguely remember that the gain of the exponentially weighted moving average is not unity, unlike the Butterworth IIR Exponentially weighted moving average estimation is widely used, but it is a modest improvement over UWMA. It does not attempt to model market conditional heteroskedasticity any more than UWMA does. Its weighting scheme replaces the quandary of how much data to use with a similar quandary as to how aggressive a decay factor λ to use. Consider again Exhibit 7.6 and our example of the USD 10MM. However, they are distributed such that, for example, the oldest closing price in a ten-day moving average is weighted only 7% while the most recent closing price is weighted 33%. WMA can be used with any price including the open, close, high, or low price, and can be incorporated with other technical indicators as well Introduction Example References. Excellent descriptions of the history and basic concepts related to Exponentially Weighted Moving Average (EWMA) are available in text books, journal articles, and numerous web pages on the Internet, some of which are listed in the references section. This page will therefore provide only a brief summary and description, suffice to quickly orientate the user.

[Beginner]ML Basics: Exponentially weighted moving average

  1. Later, it became known as exponentially weighted moving averages (EWMAs). What we call the 19-day exponential moving average (EMA) today is what he called the 10% Trend. Over the years, moving averages have evolved in use across the financial markets as more and more traders turned to their many variations to make informed trading decisions
  2. The Exponentially Weighted Moving Average (EWMA) algorithm is the simplest discrete-time low-pass filter. It generates an output in the i-th iteration that corresponds to a scaled version of the current input and the previous output . The smoothing factor, , indicates the normalized weight of the new input in the output
  3. varying sample sizes J. E. Everett Centre for Exploration Targeting, The University of Western Australia, Australia Abstract The exponentially weighted moving average (EWMA) can be used to report the smoothed history of a production process, and has some considerable advantages over a simple moving average (MA). Discussion of these advantages includes comparison of the filter characteristics.
  4. In time series analysis, a moving average is simply the average value of a certain number of previous periods.. An exponential moving average is a type of moving average that gives more weight to recent observations, which means it's able to capture recent trends more quickly.. This tutorial explains how to calculate an exponential moving average for a column of values in a pandas DataFrame

competing risks by using exponentially weighted moving average control charts Stefan H. Steiner and R. Jock MacKay University of Waterloo, Canada [Received September 1999. Final revision November 2000] Summary. In industry, process monitoring is widely employed to detect process changes rapidly. However, in some industrial applications observations are censored. For example, when testing. An exponentially weighted moving average takes the following form: In this equation, n represents samples in time and m is the weight of the average. As an example, if a value of 3 is used for m, the equation becomes: Exponentially weighted moving averages have several advantages over traditional averaging. The EWMA algorithm is computationally. For example, a four-period SMA with prices of 1.2640, 1.2641, 1.2642, and 1.2641 gives a moving average of 1.2641 using the calculation [(1.2640 + 1.2641 + 1.2642 + 1.2641) / 4 = 1.2641]. Weighted Moving Averages; The moving averages as calculated in the preceding part are known as un-weighted because the same weight is assigned to each of the.

Using Exponentially Weighted Moving Average for anomaly

  1. An exponentially weighted moving average is a way to continuously compute a type of average for a series of numbers, as the numbers arrive. After a value in the series is added to the average, its weight in the average decreases exponentially over time. This biases the average towards more recent data. EWMAs are useful for several reasons, chiefly their inexpensive computational and memory.
  2. (Click here for a live example of a Simple Moving Average) A simple moving average is formed by computing the average (mean) price of a security over a specified number of periods. While it is possible to create moving averages from the Open, the High, and the Low data points, most moving averages are created using the closing price. For example: a 5-day simple moving average is calculated by.
  3. e a recent tip for T-SQL code on computing simple moving averages here How to Compute and Use Simple Moving.
  4. The exponentially weighted moving average (\sigma_t) is calculated as: σ t 2 = λ σ t − 1 2 + ( 1 − λ) x t − 1 2. Where: x t is the value of the time series value at time t. λ is the smoothing parameter (i.e. a non-negative constant between 0 and 1). The size of the EWMA Excel time series is equal to the input time series, but with.
  5. The exponentially weighted moving average (EWMA) volatility model is the recommended model for forecasting volatility by the Riskmetrics group. For monthly data, the lambda parameter of the EWMA model is recommended to be set to 0.97. In this study we empirically investigate if this is the optimal value of lambda in terms of forecasting volatility. Employing monthly realized volatility as the.
  6. Exponentially Weighted Moving Average filter is used for smoothing data series readings. Unlike the method with a history buffer that calculates an average of the last N readings, this method consumes significantly less memory and works faster. For example, if you have a wonky ADC, like the one in ESP8266, with a lot of noise, you will need a filter to smooth out the readings. Basically, EWMA.
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Design of Exponentially Weighted Moving Average Scheme for Standardized Means IASSL ISBN-1391-4987 149. M . Figure1: Control limits for the EWMA mean scheme based on standardized sample means with in-control ARLs of 50, 250, 370, 500, 740 and 1000. Figure 2: Optimal λ values for detecting various shifts in mea An exponential moving average (EMA), also known as an exponentially weighted moving average (EWMA),is a type of infinite impulse response filter that applies weighting factors which decrease exponentially. The weighting for each older datum decreases exponentially, never reaching zero. Syntax I have been trying to calculate an exponentially weighted moving average for a 7 day period and a 28 day, however I am struggling to pick out the row context in my DAX. I have listed my measures in the image attached. I need to be able to identify the value for total distance within my DAX. I appreciate any help on this. Thanks in advance. Sea

Moving Average (MA), Weighted MA, and Exponential M

Simple Moving Average | Real Statistics Using ExcelReal

Exponentially Weighted Average for Deep Neural Networks

Exponentially weighted moving average (EWMA) This measures volatlity. Example contains historical series of exchange rates between Euro/US Dollar lamda=94% EWMA=00310% Euro/ Period Feb 6th(T) Dollar Return Return^2 weights Feb 6 1.44 0.00310%<--sum of this column Andrew Ng introduces an alternative approach in Week 2 of Improving Deep Neural Networks called Exponentially Weighted Averages. Consider a simple example where xt is the raw value at time t and v is the value of the algorithm. v0 = 0 v 0 = 0. v1 = 0.9v0 +0.1x1 v 1 = 0.9 v 0 + 0.1 x 1. v2 = 0.9v1 +0.1x2 v 2 = 0.9 v 1 + 0.1 x 2 The exponentially weighted moving average, or in short the exponential moving average, is a moving average technical indicator which uses an exponential weighting scheme of past prices. Compared to the simple moving average indicator, this metric puts more weight on recent prices. Dual exponentially weighted moving average . Similar like the dual moving average trading system based on the. ewma: Exponentially Weighted Moving Average (EWMA) fNA: Min/Max With All NA's Allowed Min and Max functions that... gps: Empirical Bayes Gamma-Poisson Shrinker; input_param_checker: Check Input Parameters; lrt: Likelihood Ratio Rest; maude: Bone Cement MAUDE Events in 2017; mds_ts: Sample List of 'mds_ts' Time Series; next_dev: Return next level up device Returns the variable name of the. e exponentially weighted moving average chart, a well-known control charting technique, is sensitive to the detection ofcontrol signals whilesmall or moderateshis occur in the production process. EWMA chart was rst introducedbyRoberts( )andithasgraduallyachieved asignicantplaceinSPC.Alotofinnovationsanddesign

Python Trading Toolbox: Weighted and Exponential Moving

  1. I've found that computing exponetially weighted running averages using x ¯ ← x ¯ + α ( x − x ¯), α < 1 is. a simple one-line method, that is easily, if only approximately, interpretable in terms of an effective number of samples N = α − 1 (compare this form to the form for computing the running average), only requires the current.
  2. Menu. Why Tableau Toggle sub-navigation. What Is Tablea
  3. We'll start with the recurrence relation for the weighted moving average: Compared to the formula for the cumulative mean, and the weights drop off exponentially from there, hence the name exponential moving average. There will always be a small bump on the left side of the curve because we chose an alpha less than 0.5. However, it's clear from the graph above that this effect.
  4. Does anyone know how to condense the processes to calculate the exponentially weighted moving average (EWMA) for a dataset into one single cell, rather than creating column after column of calculations to get to the final answer. Have inserted an example, below. But to confirm EWMA, weights the standard deviation to present at a rate specified by the EWMA rate. I have set it at 96% in this.
  5. ewma calculates an exponentially weighted moving average of the. series named in the generate () option. This is kept in the. archive only for any users of Stata 5.0. Users of Stata 6.0. upwards should instead install the egenmore package, including. the ewma ( ) function, which requires and respects a prior tsset
  6. g the mean is zero lambda: Smoothing parameter. The default is 0.96. If lambda is negative, then the multivariate Gaussian likelihood is used to estimate the smoothing parameter. Value. Sigma.t: The.
  7. Also called exponentially weighted moving averages in statistics. Let's first talk about that, and then we'll use this to build up to more sophisticated optimization algorithms. So, even though I now live in the United States, I was born in London. So, for this example I got the daily temperature from London from last year. So, on January 1, temperature was 40 degrees Fahrenheit. Now, I.

Exponentially Weighted Moving Average - an overview

  1. If we do this we find that for the moving average MSD=7.90 and for the exponentially smoothed average with a smoothing constant of 0.8 MSD=3.86. Hence overall prefer the exponentially smoothed forecast as that seems to give the best one day ahead forecasts as it has a smaller MSD
  2. The Exponentially Weighted Moving Average ( EWMA) covariance model assumes a specific parametric form for this conditional covariance. More specifically, we say that r t - μ ~ EWMA λ if: V-Lab uses λ = 0.94, the parameter suggested by RiskMetrics for daily returns, and μ is the sample average of the returns
  3. The concept of control charts is based on mathematics and statistics to process forecast; which applications are widely used in industrial management. The sum of squares exponentially weighted moving average (SSEWMA) chart is a well-known tool for effectively monitoring both the increase and decrease in the process mean and/or variability. In this paper, we propose a novel SSEWMA chart using.
  4. The exponentially weighted moving average follows the true data values better than the other two metrics while still smoothing the trend line. Wrapping up. In this article we learned how to calculate an exponentially weighted moving average using a recursive CTE. We discussed when it's useful to apply and compared the results to other average.
numpy - Weighted moving average in python - Stack Overflow

EWMA chart - Wikipedi

Exponential Moving Average (EMA) Definitio

  1. A number of expanding EW (exponentially weighted) methods are provided: In general, a weighted moving average is calculated as. where x t is the input and y t is the result. The EW functions support two variants of exponential weights. The default, adjust=True, uses the weights w i = ( 1 − α) i which gives
  2. EXPONENTIALLY WEIGHTED MOVING AVERAGE CONTROL CHARTS 189 design approach and illustrates this with examples. It also dis cusses sample size requirements and compares the EWMA with a Shewhart individual chart, which is less powerful for small to moderate mean shifts but more robust to modeling errors. 2. THE WORST-CASE EWMA VARIANC
  3. For example, in a 3-point moving average, you may assign a 60% weight age to the latest data point, 30% to the middle data point and 10% to the oldest data point. In EMA, a higher weight is given to the latest value and the weight keeps getting exponentially lower for earlier values
  4. Search for jobs related to Exponentially weighted moving average excel macro or hire on the world's largest freelancing marketplace with 19m+ jobs. It's free to sign up and bid on jobs

Calculate Moving Average in Excel (Simple, Exponential and

exponentially weighted moving average monitoring scheme for such a profile. We introduce two other enhancement features, the variable sampling interval and the parametric diagnostic approach, to further improve the performance of the proposed scheme. Throughout the article, we use a deep reactive ion etching example from semiconductor manufacturing, which has a profile that fits a quadratic. Exponentially Weighted Moving Average Control Charts with Time-Varying Control Limits and Fast Initial Response Stefan H. Steiner Dept. of Statistics and Actuarial Sciences University of Waterloo Waterloo, Ontario N2L 3G1 Canada Abstract The control limits of an exponentially weighted moving average (EWMA) control chart should vary with time, approaching asymptotic limits as time increases. 4 Weighted moving averages A weighted k-point moving average can be written as k X fˆ(t) = aj yt+j . j=−k For the weighted moving average to work properly, it is important that the weights sum to one and that they are symmetric, that is aj = a−j . However, we do not require that the weights are between 0 and 1. The advantage of weighted averages is that the resulting trend estimate is.

Exponential Moving Average Formula Example and Excel

Moving average - Wikipedi

Chapter 7: Cumulative Sum and Exponentially Weighted Moving Average Control Charts Overview CUSUM and EWMA Control Chart Review JMP Small Shift Detection Control Chart Platforms Examples from ISQC Chapter 9 - Selection from Douglas Montgomery's Introduction to Statistical Quality Control [Book This archive file contains material for implementing exponentially weighted moving average change detection (EWMACD) on a multitemporally stacked set of images. The archive includes an R script for running the algorithm, some sample data and aerial photographs for assessing results, and the original EWMACD paper, published in IEEE Transactions on Geoscience and Remote Sensing

Smoothing Excel Chart Data with a Moving Average

Exponentially-Weighted Moving Average. Author: William C. Evans. Topic: Statistics, Stochastic Process or Random Process. This applet shows the behavior of a simple EWMA smoothing filter; EWMA stands for Exponentially-Weighted Moving Average. The raw data is Normally-distributed, with a mean of 10, then an abrupt shift to 30, then back to 10, and an adjustable standard deviation (zsigma. A numerical procedure using integral equations is presented for the tabulation of moments of run lengths of exponentially weighted moving average (EWMA) charts. Both average run lengths (ARL's) and standard deviations of run lengths (SDRL's) are presented for the twosided EWMA chart assuming normal observations, along with an example illustrating how to design such a chart. The procedure given. dict.cc | Übersetzungen für 'exponentially weighted moving average chart' im Englisch-Deutsch-Wörterbuch, mit echten Sprachaufnahmen, Illustrationen, Beugungsformen,. In this tutorial, the exponentially weighted moving average (EWMA) is discussed. The EWMA is often used for smoothing irregular fluctuations (i.e., noise) in a time series to permit the data analyst to better reveal trend/cycle patterns over time. Additionally, the EWMA is frequently used to compute short-term forecasts of time series (e.g., sales and stocks) One such method, exponentially weighted moving average change detection (EWMACD), is based on a mixture of harmonic regression (HR) and statistical quality control, a branch of statistics commonly used to detect aberrations in industrial and medical processes. By using HR to approximate per-pixel seasonal curves, the resulting residuals characterize information about the pixels which stands.

Influenza viruses cause seasonal outbreaks in temperate climates, usually during winter and early spring, and are endemic in tropical climates. The severity and length of influenza outbreaks vary from year to year. Quick and reliable detection of the start of an outbreak is needed to promote public health measures. We propose the use of an exponentially weighted moving average (EWMA) control. To mitigate some of these issues, we propose the use of 'exponentially weighted moving averages (EWMA) Applying this method to the example data presented by Dr Menasp à2 produces a different acute:chronic workload on day 28 for each of the three fictitious athletes (1.25, 1.41 and 1.55, respectively), whereas the use of rolling averages produces three identical values (1.43). Thus, in. Exponential Moving Averages, similar to Weighted Moving Averages, also assign a greater weight to more recent data values.Unlike Weighted Moving Averages, however, they use the previously calculated Exponential Moving Average value as a basis for calculation rather than the original (non-Averaged) data values. In this way, the calculation method used by Exponential Moving Averages is.

PROC MACONTROL: Creating EWMA Charts from Raw Data - 9PPT - Forecasting Introduction PowerPoint PresentationPandas Time Series example with some historical landForecasting: Moving Averages, MAD, MSE, MAPE - Top TradingSignal Smoothing - MATLAB & Simulink Example - MathWorks 한국Moving Averages
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