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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Generalized Order Statistics Under Finite Mixture Models

Generalized Order Statistics Under Finite Mixture Models

Elsawah a. M.

Paperback

Probability & Statistics

ISBN10: 3659286060
ISBN13: 9783659286063
Publisher: Lap Lambert Academic Pub
Published: Mar 18 2014
Pages: 120
Weight: 0.41
Height: 0.28 Width: 6.00 Depth: 9.00
Language: English
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.

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