Bücher von Mohammad Ahsanullah

The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques.

This book enables a reader to check his/her level of understanding of the theory of record values. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.

The most important properties of normal and Student t-distributions are presented. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented.

In this book, Mohammad Ahsanullah provides a detailed description of the general theory and applications of record values. Professor Ahsanullah thoroughly discusses the most useful distributions and inferences based on record values, resulting in conclusions that are not available in previously published works.

This book contains entirely new results, not to be found elsewhere. Several well-known distributions such as Weibull distributions, exponentiated Burr type XII distributions and exponentiated exponential distributions and their properties are demonstrated. A number of inferences based on a finite mixture of distributions are also presented.