bfa_boot2fast_ls {bifurcatingr}

Fast Double Bootstrap of Least Squares Estimators of BAR(p) Models

Description

This function performs fast double bootstrapping of the least squares estimators of the autoregressive coefficients in a bifurcating autoregressive (BAR) model of any order p as described in Elbayoumi and Mostafa (2020).

Usage

bfa_boot2fast_ls(z, p, burn = 5, B)

Arguments

z

a numeric vector containing the tree data

p

an integer determining the order of bifurcating autoregressive model to be fit to the data

burn

number of tree generations to discard before starting the bootstrap sample (replicate)

B

number of bootstrap samples (replicates) used in first round of bootstrapping

Value

boot_est

a matrix containing the first-stage bootstrapped least squares estimates of the autoregressive coefficients

boot2

a matrix containing the second-stage bootstrapped least squares estimates of the autoregressive coefficients

References

Elbayoumi, T. M. & Mostafa, S. A. (2020). On the estimation bias in bifurcating autoregressive models. Stat, 1-16.

Examples

z <- bfa_tree_gen(31, 1, 1, 1, 0.5, 0.5, 0, 10, c(0.7))
bfa_boot2fast_ls(z, p=1, B=499)