RunningVar: Fast Running Variance Computation

In martakarass/convo: Fast Computation of Running Sample Statistics

Description

Computes running sample variance of a sequence in a fixed width window. Uses convolution implementation via Fast Fourier Transform.

Usage

RunningVar(x, W, circular = FALSE)

Arguments

x	A numeric vector.
W	A numeric scalar; width of x window over which sample variance is computed.
circular	Logical; whether running sample variance is computed assuming circular nature of x sequence (see Details).

Details

The length of output vector equals the length of x vector. Parameter circular determines whether x sequence is assumed to have a circular nature. Assume l_x is the length of sequence x, W is a fixed length of x sequence window.

If circular equals TRUE then

• first element of the output sequence corresponds to sample variance of x[1:W],

• last element of the output sequence corresponds to sample variance of c(x[l_x], x[1:(W - 1)]).

If circular equals FALSE then

• first element of the output sequence corresponds to sample variance of x[1:W],

• the l_x - W + 1-th element of the output sequence corresponds to sample variance of x[(l_x - W + 1):l_x],

• last W-1 elements of the output sequence are filled with NA.

Value

A numeric vector.

Examples

x <- rnorm(10)
RunningVar(x, W = 3, circular = FALSE)
RunningVar(x, W = 3, circular = TRUE)

martakarass/convo documentation built on May 16, 2019, 11:08 a.m.