Weighted empirical processes in dynamic nonlinear models

書誌事項

Weighted empirical processes in dynamic nonlinear models

Hira L. Koul

(Lecture notes in statistics, 166)

Springer, c2002

2nd ed

  • : pbk

タイトル別名

Weighted empiricals and linear models

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注記

First ed. published under title: Weighted empiricals and linear models. -- Hayward, Calif. : Institute of Mathematical Statistics, 1992. -- (IMS Lecture notes-monograph series ; v. 21)

Includes bibliographical references (p. [414]-425)

内容説明・目次

内容説明

This book presents a unified approach for obtaining the limiting distributions of minimum distance. It discusses classes of goodness-of-t tests for fitting an error distribution in some of these models and/or fitting a regression-autoregressive function without assuming the knowledge of the error distribution. The main tool is the asymptotic equi-continuity of certain basic weighted residual empirical processes in the uniform and L2 metrics.

目次

Introduction * Asymptotic Properties of W.E.P.'s * Linear Rank and Signed Rank Statistics * M, R and Some Scale Estimators * Minimum Distance Estimators * Goodness-of-fit Tests in Regression * Autoregression * Nonlinear Autoregression

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