Berry-Esseen theorems for quadratic forms of Gaussian stationary processes

Masanobu Taniguchi

doi:10.1007/BF00699102

Berry-Esseen theorems for quadratic forms of Gaussian stationary processes

Masanobu Taniguchi

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

Let X₁, X₂, ... be a Gaussian stationary process with spectral density f(λ), and let {Mathematical expression} The present paper gives a Berry-Esseen type theorem for the joint distribution of (Z₁, ..., Zp).

Original language	English
Pages (from-to)	185-194
Number of pages	10
Journal	Probability Theory and Related Fields
Volume	72
Issue number	2
DOIs	https://doi.org/10.1007/BF00699102
Publication status	Published - 1986 Jun 1

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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Taniguchi, M. (1986). Berry-Esseen theorems for quadratic forms of Gaussian stationary processes. Probability Theory and Related Fields, 72(2), 185-194. https://doi.org/10.1007/BF00699102

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abstract = "Let X1, X2, ... be a Gaussian stationary process with spectral density f(λ), and let {Mathematical expression} The present paper gives a Berry-Esseen type theorem for the joint distribution of (Z1, ..., Zp).",

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