Generalized Order Statistics Under Finite Mixture Models: Asymptotic Theory and Applications - Softcover

ELsawah, A. M.

Softcover

ISBN 10: 3659286060 ISBN 13: 9783659286063

Publisher: LAP LAMBERT Academic Publishing, 2014

Synopsis

Finite mixture models have provided a mathematical-based approach in statistical modeling in a wide variety of random phenomena. FMM have been applied in astronomy, biology, genetic, medicine, psychiatry, economics, engineering and marketing, among many other fields in the biological, physical and social science. Kamps suggested a new theoretical approach, which is called generalized order statistics (GOS). This new model includes ordinary order statistics, sequential order statistics, progressive order statistics and record value. The main purpose of this book is to investigate the asymptotic behavior of the ordinary order statistics, generalized order statistics and dual generalized order statistics based on a random sample drawn from a finite mixture population with k components under general normalization. I obtain a sufficient conditions for this weak convergence, as well as the limit forms. Sufficient conditions are given to guarantee the existence of the weak convergence to non-degenerate distribution when the components are normalized by different normalization constants (linear-nonlinear). Illustrative examples of the most practically important distributions are obtained.

About this title

About the Author

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt. Dr. ELsawah research interests: Order Statistics and It's Application, Design and Modeling for Computer Experiments and Statistical Machine Learning. For more information, please visit Dr. Ahmed ELsawah web page: http://www.staff.zu.edu.eg/a.elsawah/page.aspid=43

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2014
• Language: English
• ISBN 10: 3659286060
• ISBN 13: 9783659286063
• Binding: Paperback
• Number of pages: 120