Approximate Distributions of Order Statistics

Approximate Distributions of Order Statistics
Author :
Publisher : Springer Science & Business Media
Total Pages : 363
Release :
ISBN-10 : 9781461396208
ISBN-13 : 1461396204
Rating : 4/5 (204 Downloads)

Book Synopsis Approximate Distributions of Order Statistics by : Rolf-Dieter Reiss

Download or read book Approximate Distributions of Order Statistics written by Rolf-Dieter Reiss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approxi mating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estima tion and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored.


Approximate Distributions of Order Statistics Related Books

Approximate Distributions of Order Statistics
Language: en
Pages: 363
Authors: Rolf-Dieter Reiss
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (
Introductory Business Statistics 2e
Language: en
Pages: 1801
Authors: Alexander Holmes
Categories: Business & Economics
Type: BOOK - Published: 2023-12-13 - Publisher:

DOWNLOAD EBOOK

Introductory Business Statistics 2e aligns with the topics and objectives of the typical one-semester statistics course for business, economics, and related maj
A Concept of Generalized Order Statistics
Language: en
Pages: 220
Authors: Udo Kamps
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: Teubner Skripten zur Mathematischen Stochastik

DOWNLOAD EBOOK

Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. Both models describe rando
Order Statistics & Inference
Language: en
Pages: 399
Authors: Narayanaswamy Balakrishnan
Categories: Mathematics
Type: BOOK - Published: 2014-06-28 - Publisher: Elsevier

DOWNLOAD EBOOK

The literature on order statistics and inferenc eis quite extensive and covers a large number of fields ,but most of it is dispersed throughout numerous publica
Normal and Student ́s t Distributions and Their Applications
Language: en
Pages: 163
Authors: Mohammad Ahsanullah
Categories: Mathematics
Type: BOOK - Published: 2014-02-07 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related re