Normal approximation and asymptotic expansions R.N. Bhattacharya, R. Ranga Rao. Wiley series in probability and mathematical statistics Tracts on probability and statistics.

Bhattacharya, Rabindra Nath:

ISBN 10: 047107201X / ISBN 13: 9780471072010

Published by New York London , J Wiley [1976]., 1976

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 60 BHA 9780471072010 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2498194

Bibliographic Details

• Title: Normal approximation and asymptotic expansions R.N. Bhattacharya, R. Ranga Rao. Wiley series in probability and mathematical statistics Tracts on probability and statistics.
• Publisher: New York London , J Wiley [1976].
• Publication Date: 1976
• Language: English
• ISBN 10: 047107201X
• ISBN 13: 9780471072010
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Although Normal Approximation and Asymptotic Expansions was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques such as the bootstrap, the efficacy of which can be ascertained by asymptotic expansions. This is also the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry–Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions. With meticulous care, the authors develop the necessary background on: weak convergence theory, Fourier analysis, geometry of convex sets and the relationship between lattice random vectors and discrete subgroups of Rk.

Book Description

An important book for statisticians due to both its treatment of various refinements of the multivariate central limit theorem and its exposition of asymptotic expansions. It is appropriate for graduate students of statistics and probability, as well as researchers whose work involves the asymptotic theory of statistics.