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Series Approximation Methods in Statistics

John E. Kolassa

Third Edition.

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Statistical Theory and Methods; Applications of Mathematics

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-31409-9

ISBN electrónico

978-0-387-32227-8

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, Inc. 2006

Cobertura temática

Tabla de contenidos

Asymptotics in General

Pp. 1-6

Characteristic Functions and the Berry-Esseen Theorem

Palabras clave: Characteristic Function; Cumulative Distribution Function; Moment Generate Function; Saddlepoint Approximation; Cumulant Generate Function.

Pp. 7-30

Edgeworth Series

Palabras clave: Characteristic Function; Cumulative Distribution Function; Hermite Polynomial; Target Distribution; Saddlepoint Approximation.

Pp. 31-62

Saddlepoint Series for Densities

Palabras clave: Steep Descent; Exponential Family; Steep Descent Method; Raphson Method; Saddlepoint Approximation.

Pp. 63-88

Saddlepoint Series for Distribution Functions

Palabras clave: Cumulative Distribution Function; Tail Probability; Saddlepoint Approximation; Tail Area; Cumulant Generate Function.

Pp. 89-108

Multivariate Expansions

Palabras clave: Cumulative Distribution Function; Random Vector; Univariate Case; Exponential Family; Moment Generate Function.

Pp. 109-138

Conditional Distribution Approximations

Palabras clave: Random Vector; Conditional Distribution; Nuisance Parameter; Exponential Family; Tail Probability.

Pp. 139-164

Applications to Wald, Likelihood Ratio, and Maximum Likelihood Statistics

Palabras clave: Likelihood Ratio; Cumulative Distribution Function; Lattice Distribution; Maximum Likelihood Estimator; Exponential Family.

Pp. 165-188

Other Topics

Pp. 189-198

Computational Aids

Palabras clave: Hermite Polynomial; Likelihood Ratio Statistic; Approximation Quantile; Hyperbolic Sine; Saddlepoint Approximation.

Pp. 199-204