# Questions tagged [moving-window]

A window is a fixed-length subset of consecutive observations of a time series. The window is moved along the time series at a constant rate. AKA "rolling window".

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### In sliding window regression, what is the best way to select my training window and test set size?

I am trying to forecast an index option's implied volatility using a sliding window regression and I'm a little confused on how I can go about cross validating with respect to the training and test ...
5 views

### Time based cross-validation for EOM patterns

I want to evaluate different models (ARIMA, MLP, LSTM, regression, etc.) on their performance to predict/forecast stock prices in a period (horizon) of 7 days around month-end. The data for these ...
63 views

### Max of the running average of the kth through nth elements for a given probability distribution

This question is based slightly on https://www.reddit.com/r/AskStatistics/comments/16bqit0/calculating_probability_when_phacking_is_allowed/ Given a variable $X$, let $A_j$ be the average of $X_1$ ...
19 views

### Dynamic Time Warping with rolling window

I have two time series, lets say X and Y with 127 and 64 observations in each respectively. I have applied DTW with global constraint to get the distance and then further used that distance to ...
51 views

### rolling mean series - strong autocorrelation

I need to works with time-series of rolling means of a certain variable that comes from the data. I have this rolling means for N different individuals. Call them Y. I would like to test some ...
45 views

### Implementing Random Forest rolling window forecast in R [closed]

I want to forecast a dependent variable and I have some independent variables. First I shifted the dependent variable up, such that I have a supervised problem. For instance in January 2000 the ...
25 views

### Averaging Mean & Standard Deviation of Rolling Time Frame

I have a data set of investment returns from Jan 2010 to Dec 2022. I've also calculated the average return and standard deviation of this data set within a rolling time frame of 3 years, with 1 month ...
77 views

### Fixed vs rolling forecasts: Empirical evidence

Many sources online recommend that we use a rolling window to make forecasts. As I am in a choice between using a fixed window and a rolling window for my data I am trying to find any empirical ...
1 vote
25 views

### What is the probabilistic meaning of moving window statistics?

Moving window statistics (see this, for example) are sample statistics calculated over moving/rolling windows over a time-series. For example, given the time-series $\{x_1,x_2,\dots\}$ one can ...
316 views

### Exact steps for rolling window CV evaluation or sliding window CV evaluation for SARIMA

So far I have using this process: 1)split data into training and test 2)do model selection(p,d,q, P,D,Q,etc) using training data(in this case, I used autoarima) ...
1 vote
175 views

### Kernel Smoothing for Time Series data

I have generated a time series data set of measurements that are a bit noisy and I want to apply kernel smoothing to the data. My time series data is not regular however, meaning that the time ...
28 views

### What is it called when an outlier falls out of a rolling window statistical calculation?

I have a time series $X_t \sim N(0, 1)$. There is a single outlier at index 347, at 8.5 standard deviations from the mean. If I now compute a rolling window standard deviation of $X_t$ with window ...
1 vote
28 views

### A question about an estimation using moving average and moving standard deviation?

Given a time series data $\{X_t\}_{t = 0}^\infty$, what does its moving average and moving standard deviation estimate when there is no assumption that $\mathbb{E}[X_t] = \text{const}, \forall t$? ...
1 vote
121 views

### Rolling z-score or z-score? [closed]

Suppose that we have some time series data, in what context we use rolling z-score and when do we use z-score?
1 vote
26 views

### Impact of religious holidays whose dates shift in the Gregorian calendar [closed]

I need to model and predict a quantitative variable that is heavily impacted by events, parties and celebrations. For I seek first to know the impact that has the religious festivals, the ramadan and ...
25 views

### How to determine periodicity (autocorrelation) in the 2d projection of a 3D helical trajectory

Some microscopic objects are helically moving in 3d and we acquisite their moving trajectories as a set of 2d points. The obtained trajectories are shown on the image. For each of these trajectories ...
140 views

### Calculate the daily standard deviation for time series (stock market) in R

I´m modeling with diffrent GARCH-Models the daily standard deviation of a stock market. That includes a rolling forecast model of the daily standard deviation. This works pretty well so far. To ...
1 vote
541 views

### How to analyse results of classification for time series + sliding windows

Here is my context: I have a time series composed of only 1 features. I want to be able to classify between two classes. To get more information out of these data, I am using a sliding time windows. ...
1 vote
40 views

### Rolling autoregression coefficient

I was reading a paper and I saw that they run a 3-year rolling autoregression for 20 years (using for example 2013-2016 as trailing and 2016-2019 as forwarding) and got only one beta coefficient and ...
1 vote
786 views

### Cross Validation for Time Series Classification (Not Forecasting!)

Is it possible to use regular k-fold cross validation where the folds contain entire time series in time series classification? I'm asking because most sources discussing cross validation with time ...
295 views

### Lag selection and model instability for ARIMA-GARCH in rolling windows for forecasting

I'm to produce rolling forecasts with an ARIMA-GARCH model using a moving window size of 1000. Given that structural changes in the series might take place at some point in the forecast horizon, is ...
1 vote
2k views

### Difference between use cases of expanding and rolling window in backtesting

I was reading about different variants of backtesting in time series- expanding window & rolling window. I could find in texts about when to use which, but still I'm sort of unanswered. Here's ...
561 views

### Predict churn in a range of time after observation window is finished

I'm building a churn model. Each user's historic data (observation window) is a constant period, but each observation window contains different dates. For example the next figure: Let's say, that the ...
1 vote
256 views

### what is it an activity window in churn model?

I know that in a churn model many times you define an observation window (historic data) and a performance window (also dependent window, or response window). I have read an article that the authors (...
1 vote
383 views

### ARIMA accuracy measures, rolling forecast

Regarding ARIMA model selection and especially accuracy measures several questions came into my mind. To shortly summarize, in my understanding, after necessary transformations/differencing, p and q ...
1 vote
218 views

### Modifying tsCV function

I tried to modify the tsCV function to seperate between xreg_subset and xreg_future as Im going to use forecasted data for validate and test samples: ...
1 vote
309 views

### Rolling forecast vs. static training data for financial timeseries?

I want to train a statistical model to predict financial asset returns. I'm wondering whether it would be more effective to train a rolling forecast model rather than training a single model with a ...
3k views

### Rolling vs Recursive vs Fixed Window Regression

What precisely are the differences between rolling, recursive and fixed window regression? As far as I understand, recursive: we train on a period $y(0)$ to $y(n)$ then predict $\hat{y}(n+1)$. Then ...
1 vote
59 views

### MSGARCH fitting doesn't work for the specific part of the data

I'm trying to do rolling (expanding) window forecast with MSGARCH and the model is failing for very specific $i$. For example I get error for $i=14$ and $i=30$. Data is snp500 returns data between ...
721 views

### Optimal window size for contextual outlier detection

I am looking for methods to detect univariate contextual outliers in time series data. One example application is data from industrial plants in different (unknown) operation modes or slow trends or ...
2k views

### Root-mean-square error when having multiple prediction horizons

I have a basic question about the root-mean-square error (RMSE). I have a prediction using an ARIMA model. I predicted a time series and use a rolling-horizon approach with overlapping or non-...
203 views

### Expected value of rolling variance/standard deviation of an AR(1) process

Consider a random variable following an AR(1) model: $$x_t = \mu+\rho x_{t-1} + \epsilon_t$$ Assumme that $\epsilon_t$ follows $N(0,\sigma^2_\epsilon)$. Now consider the rolling variance and/or ...
1 vote
221 views

### Discovering peaks/patterns in time-series and clustering them

I have a dataset which contains minute level sensor measurements. Sample is shown here: To me useful information are these peaks in time series, mostly their peak and duration. My idea is to take out ...
1k views

### Moving Average window

I am working with a multivariate time series problem which I try to predict 1 hour in the future. I am planning to use moving average of the features as separate new features. But I do not know if ...
34 views

### Is there a way to deal with spiking growth rates due to small sample numbers?

I'm looking at plotting county coronavirus case density growth rates (moving 7 day window) and am finding that when cases first appear the new case growth rate is very large due to the fact that there ...
66 views

### How does choosing an even window size actually add a cyclical component to the model?

I am new to Time Series Analysis. Say, we have a time series $(y_{t})_{t}$ that we want to filter with a moving average filter. I have been told that we should choose the window size $L$ of the filter ...
121 views

### Does the method of reruning GARCH models every day (to update parameter values and improve out-of-sample forecasting performance) have a name?

It is my understanding that normally GARCH models make forecasts for say T-K days ahead. Instead of doing that I would like to use the data for days 1, 2, ...,k in my dataset to fit a GARCH model to ...
1 vote
566 views

### Rolling autocorrelation vs whole series autocorrelation

Suppose we have some financial time series. When we calculate the standard ACF, $\mu$ is considered as the average of all series' values. However, if we have a volatile series, the average can be ...
1 vote
143 views

### Holt-Winters Multiplicative Alpha Beta Gamma [closed]

I need to create a table with Holt-Winters Alpha, Beta and Gamma (ABG) I have the following code ...
37 views

### How to reflect more global patterns in timeseries?

I have some signal data of a robot recorded in every minute each day. e.g., ...
3k views

### Is moving average(sliding window) a smoothing technique or forecasting technique?

The rolling average method is mostly used to produce a smoothed series by removing noise. For ex- 3 window moving average, in general practice, the output for the fourth period is the 3 window moving ...
1 vote
705 views

### How do we forecast using 3 point moving average?

X<- c(3,6,8,10,6,5) If I want to forecast using 3point moving average I use ma(X,3) from forecast package So this is going to give a series of smoothed average. If I want to forecast further 2 ...
829 views

### Efficient online (rolling window) estimation of a GARCH model

I have a time series $x_t$ of length $n$. I would like to model it using rolling window approach with window length (width) $w$: window $1$: $x_1,\dots,x_w$, window $2$: $x_2,\dots,x_{w+1}$, $\dots$, ...
1 vote
649 views

### Out-of-sample Rolling window forecast with ARIMA(0,0,0) with non-zero mean

I am doing a rolling window out-of-sample forecast and have fitted an ARIMA(0,0,1) model to a first difference time series. People argue that sometimes simpler models are better than more complicated ...
1 vote
80 views

### Counting occurrences using n-grams

I was asked to do the following exercise: Consider the sequence IROIRDXMIRDOMORIORMTDMMDMWBIRQGDM Count the number of occurences of IRDM using: n-grams ...
849 views

### Computation of multiple linear OLS regression with rolling window and/or update

How can I efficiently calculate an OLS fit for N multiple variables for a rolling window? I've worked out how to do it for 1 and 2 variable linear fits, I'd like to extend to the general case of N ...
210 views

### What is the relationship between average of a rolling intercept and the intercept from a regression over the entire period?

If i calculate rolling (e.g. 3 periods back) intercepts for a time series using OLS, is the average of these rolling intercepts then in some way related to the intercept from an OLS of the entire ...
60 views

### Ranking with multiple weights/ features

We have entities where every entity has start ($s_i$) and end ($e_i$) times and count $c_i$. An entity is important if its interval ($e_i - s_i$) is large and if its $c_i$ is large. Here's what I ...
1 vote