Advanced statistics. Vol. 1: Description of populations
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.
scientific article; zbMATH DE number 914379