Quasi-Likelihood And Its Application | Buch

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Cover: 9780387982250 | Quasi-Likelihood And Its Application | Christopher C. Heyde | Buch | X

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Sprache: Englisch

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Beschreibung

This book is concerned with the general theory of optimal estimation of - rameters in systems subject to random e?ects and with the application of this theory. The focus is on choice of families of estimating functions, rather than the estimators derived therefrom, and on optimization within these families. Only assumptions about means and covariances are required for an initial d- cussion. Nevertheless, the theory that is developed mimics that of maximum likelihood, at least to the ?rst order of asymptotics. The term quasi-likelihood has often had a narrow interpretation, asso- ated with its application to generalized linear model type contexts, while that of optimal estimating functions has embraced a broader concept. There is, however, no essential distinction between the underlying ideas and the term quasi-likelihood has herein been adopted as the general label. This emphasizes its role in extension of likelihood based theory. The idea throughout involves ?nding quasi-scores from families of estimating functions. Then, the qua- likelihood estimator is derived from the quasi-score by equating to zero and solving, just as the maximum likelihood estimator is derived from the like- hood score.

Zusammenfassung

This important book in statistical theory by one of the leading experts in this area unifies the two two important approaches to statistical parameter estimation. It will be of interest to researchers and graduate students in both mathematical statistics and probability theory.

Inhaltsverzeichnis

The General Framework.- An Alternative Approach: E-Sufficiency.- Asymptotic Confidence Zones of Minimum Size.- Asymptotic Quasi-Likelihood.- Combining Estimating Functions.- Projected Quasi-Likelihood.- Bypassing the Likelihood.- Hypothesis Testing.- Infinite Dimensional Problems.- Miscellaneous Applications.- Consistency and Asymptotic Normality for Estimating Functions.- Complements and Strategies for Application.

Erscheinungsjahr:	1997
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	252
Reihe:	Springer Series in Statistics
Inhalt:	x 236 S.
ISBN-13:	9780387982250
ISBN-10:	0387982256
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Heyde, Christopher C.
Auflage:	1997
Hersteller:	Springer New York Springer US, New York, N.Y. Springer Series in Statistics
Maße:	241 x 160 x 20 mm
Von/Mit:	Christopher C. Heyde
Erscheinungsdatum:	31.07.1997
Gewicht:	0,547 kg

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