M.collection: Internal 'LFL' function for computing I(i) in the JAB...

Description Usage Arguments Details Value Note Author(s) References

Description

M.collection computes the subcollection of all resampled block-sets of size R where none of the resampled blocks equals the deleted blocks.

Usage

1
M.collection(m, M, R, blocks)

Arguments

m

The number of bootstrap blocks to be deleted. The default value is: m = c_{2}*n^(1/3)*l^(2/3)

M

The number of usable observations after deleting m, M = n-l-m-2

R

A positive integer giving the number of bootstrap replicates required.

blocks

A list with two elements, the first named starts and the second lenghts. The former is a pxq matrix, p = R and q = ceiling(n/l) giving the p block resample initial positions. The latter gives the length of each block. blocks is usually equal to estimate.l$blocks, the block output of the tsboot2 function.

Details

M.collection is an internal function called by LFL. It has the resampled blocks as inputs and the reusable blocks as output.

Value

A list with the index of reusable blocks of length M. This is the I(i) step in the JAB algorithm.

Note

For bugs and further requests please refer to https://github.com/matheusbarroso/dboot

Author(s)

Matheus de Vasconcellos Barroso

References

Lahiri, S. N. 2002. ON THE JACKKNIFE-AFTER-BOOTSTRAP METHOD FOR DEPENDENT DATA AND ITS CONSISTENCY PROPERTIES. Econometric Theory. 18, 2002, pp. 79-98.

Lahiri, Soumendra, Furukawa, Kyoji and Lee, Yd. 2007. A nonparametric plug-in rule for selecting optimal block lengths for block bootstrap methods. Statistical Methodology. July, 2007, Vol. 4, 3, pp. 292-321.

Barroso, Matheus de V. 2018. BOOTSTRAP METHODS FOR GENERALIZED AUTOREGRESSIVE MOVING AVERAGE MODELS


matheusbarroso/dboot documentation built on May 16, 2019, 8:13 p.m.