Subsampling methods for stochastic processes based on Poisson samples

Zusheng Jin, Purdue University

Abstract

A stationary stochastic process [special characters omitted] is observed at instants [special characters omitted] a realization of Poisson process which is independent of X. Based on [special characters omitted] we address the question of nonparametric estimation of the asymptotic variance of [special characters omitted] where [special characters omitted] as [special characters omitted] A natural consistent estimate is given and moving blocks Jackknife approach and moving blocks bootstrap approach to the problem are also considered.

Degree

Ph.D.

Advisors

McCabe, Purdue University.

Subject Area

Statistics

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