1d:T4bb,# Generate a 3D plot of the autocovariance surface of a given FTS Obtain a 3D plot of the autocovariance surfaces of a given functional time series. This visualization is useful to detect any kind of dependency between the discretization points of the series. ```r plot_autocovariance(fun.autocovariance, lag = 0, ...) ``` ## Arguments - `fun.autocovariance`: A list obtained by calling the function `obtain_autocovariance`. - `lag`: An integer between 0 and `nlags`, indicating the lagged autocovariance function to be plotted. By default 0. - `...`: Further arguments passed to the `persp` function. ## Examples ```r # Example 1 N <- 100 v <- seq(from = 0, to = 1, length.out = 10) sig <- 2 bbridge <- simulate_iid_brownian_bridge(N, v, sig) nlags <- 1 lagged_autocov <- obtain_autocovariance(Y = bbridge,nlags = nlags) plot_autocovariance(lagged_autocov,1) # Example 2 N <- 500 v <- seq(from = 0, to = 1, length.out = 50) sig <- 2 bbridge <- simulate_iid_brownian_bridge(N, v, sig) nlags <- 4 lagged_autocov <- obtain_autocovariance(Y = bbridge,nlags = nlags) opar <- par(no.readonly = TRUE) par(mfrow = c(1,5)) for(k in 0:nlags){ plot_autocovariance(lagged_autocov,k) } par(opar) ```1e:T49a,M7.49933 0.25C3.49635 0.25 0.25 3.49593 0.25 7.50024C0.25 10.703 2.32715 13.4206 5.2081 14.3797C5.57084 14.446 5.70302 14.2222 5.70302 14.0299C5.70302 13.8576 5.69679 13.4019 5.69323 12.797C3.67661 13.235 3.25112 11.825 3.25112 11.825C2.92132 10.9874 2.44599 10.7644 2.44599 10.7644C1.78773 10.3149 2.49584 10.3238 2.49584 10.3238C3.22353 10.375 3.60629 11.0711 3.60629 11.0711C4.25298 12.1788 5.30335 11.8588 5.71638 11.6732C5.78225 11.205 5.96962 10.8854 6.17658 10.7043C4.56675 10.5209 2.87415 9.89918 2.87415 7.12104C2.87415 6.32925 3.15677 5.68257 3.62053 5.17563C3.54576 4.99226 3.29697 4.25521 3.69174 3.25691C3.69174 3.25691 4.30015 3.06196 5.68522 3.99973C6.26337 3.83906 6.8838 3.75895 7.50022 3.75583C8.1162 3.75895 8.73619 3.83906 9.31523 3.99973C10.6994 3.06196 11.3069 3.25691 11.3069 3.25691C11.7026 4.2552

plot_autocovariance function