Download Probability Inequalities in Multivariate Distributions by Y. L. Tong,Z. W. Birnbaum,E. Lukas PDF

By Y. L. Tong,Z. W. Birnbaum,E. Lukas

likelihood Inequalities in Multivariate Distributions is a finished therapy of likelihood inequalities in multivariate distributions, balancing the therapy among concept and functions. The e-book is anxious purely with these inequalities which are of varieties T1-T5. The stipulations for such inequalities diversity from very particular to very general.

Comprised of 8 chapters, this quantity starts off through featuring a class of chance inequalities, via a dialogue on inequalities for multivariate common distribution in addition to their dependence on correlation coefficients. The reader is then brought to inequalities for different famous distributions, together with the multivariate distributions of t, chi-square, and F; inequalities for a category of symmetric unimodal distributions and for a undeniable type of random variables which are certainly based through organization or via combination; and inequalities accessible during the mathematical instrument of majorization and vulnerable majorization. The publication additionally describes a few distribution-free inequalities earlier than concluding with an summary in their purposes in simultaneous self belief areas, speculation checking out, a number of determination difficulties, and reliability and existence checking out.

This monograph is meant for mathematicians, statisticians, scholars, and those that are basically drawn to inequalities.

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