نظریه آزمون‌های رتبه‌ای (احتمال و آمار ریاضی)

Addressed to specialists, teachers, and advanced students in statistics who are acquainted with the basic facts about the theory of testing hypotheses, measure theory, stochastic processes, and the central limit theorem. Concentrates on continuous alternatives and on problems concerning location and scale parameters. The first edition was published in 1967, but H jek died young in 1974 and not until now has his co-author found another collaborator to update the treatment to account for the considerable developments over the intervening three decades. Some elements of the organization and style have also been changed. The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works.

Key Features
* Asymptotic Methods
* Nonparametrics
* Convergence of Probability Measures
* Statistical Inference The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. Key Features * Asymptotic Methods * Nonparametrics * Convergence of Probability Measures * Statistical Inference. For more than 25 years, before the book went out of print, the First Edition of Theory of Rank Tests raised a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The Theory of Rank Tests has probably the highest citation in statistical inference Citation Indexes.The present edition not only aims to revive this classic text by updating the findings but also in incorporating several other important areas that were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. In this way, the current venture aims to fulfill the need for all these academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. It is a unique blending of theory with fruitful applications in mind. Our treatise of the theory of rank tests comprises a specialized and yet important sector of the general theory of testing statistical hypotheses with due attention to the dual rank-based R-estimation theory.