Can I read Strong Approximations in Probability and Statistics (Approx 284P) (Probability and Mathematical Statistics, Vol 42) (Probability & Mathematical Statistics Monograph) on EtoBox?

Strong Approximations in Probability and Statistics (Approx 284P) (Probability and Mathematical Statistics, Vol 42) (Probability & Mathematical Statistics Monograph) by M. Csörgo; P. Révész; Z. W. Birnbaum; E. Lukacs is a book available to read on EtoBox.

What is Strong Approximations in Probability and Statistics (Approx 284P) (Probability and Mathematical Statistics, Vol 42) (Probability & Mathematical Statistics Monograph) about?

Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to stu

Author

M. Csörgo; P. Révész; Z. W. Birnbaum; E. Lukacs

Publisher

Academic Press; Academic Press Inc

Published

1981

Language

EN

ISBN

9780121985400

Subjects

Mathematics, Stem