Advanced statistics. Vol. 1: Description of populations
type: Item
instance of: scholarly article
title: Advanced statistics. Vol. 1: Description of populations
zbMATH Open document ID: 0853.62002
author: Shelby J. Haberman
published in: Springer Series in Statistics
publication date: 1996-08-07T00:00:00Z
review text: As the author says in the preface to the book, ``This book differs considerably from conventional general books on statistics'', and it is indeed such a book. The title of the book, Volume 1: ``Advanced Statistics: Description of Populations'' gives a different view point regarding the contents of the book than what is discussed in the book. The contents are as follows: Chapter 1: Populations, Measurements and Parameters; Chapter 2: Expectations and Daniel Integrals; Chapter 3: Random Variables and Measurable functions; Chapter 4: Construction of Daniel Integrals; Chapter 5: Least Squares; Chapter 6: Independence and Dependence; Chapter 7: Quantiles; Chapter 8: Moments. The author starts Section 1.1 on ``Basic Parametrics'' and ends the first volume in Section 8.3 on ``Multivariate moments'' before the last section 8.4 dealing with exercises, meandering his way through concepts such as finite additivity, linear subspaces, linear functionals, linear lattices, Daniel integrals and their construction from functional analysis and measure theory and least squares, independence, conditional expectation, moments etc. The book gives an unorthodox view of probability and statistics as compared to the conventional and it may not be useful as a text-book for any conventional type of course either at an undergraduate or graduate level eventhough the author mentions that he had used the material in a graduate course.
Mathematics Subject Classification ID: 62-01
Mathematics Subject Classification ID: 62-02
zbMATH DE Number: 914379
zbMATH Keywords: Daniel integrals
zbMATH Keywords: quantiles
zbMATH Keywords: moments
zbMATH Keywords: finite additivity
zbMATH Keywords: linear functionals
zbMATH Keywords: linear lattices
zbMATH Keywords: least squares
zbMATH Keywords: conditional expectation
reviewed by: B. L. S. Prakasa Rao
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 914379