Asymptotic validity of the bootstrap is established for the least squares estimate of the parameter of an explosive first-order autoregressive process. It is noted that nonnormal limit distributions are obtained for both the traditional and the bootstrap estimates. The theoretical bootstrap validity results are supported by appropriate simulation.
@article{1176347376,
author = {Basawa, I. V. and Mallik, A. K. and McCormick, W. P. and Taylor, R. L.},
title = {Bootstrapping Explosive Autoregressive Processes},
journal = {Ann. Statist.},
volume = {17},
number = {1},
year = {1989},
pages = { 1479-1486},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347376}
}
Basawa, I. V.; Mallik, A. K.; McCormick, W. P.; Taylor, R. L. Bootstrapping Explosive Autoregressive Processes. Ann. Statist., Tome 17 (1989) no. 1, pp. 1479-1486. http://gdmltest.u-ga.fr/item/1176347376/