APPLICATIONS IN LIFE TESTING: PROGRESSIVE CENSORING FOR SOME DISTRIBUTIONS

A. A. Anis , S. Sherif , M.A.W.Mahmoud, Gamal A. F. Ismail , Asmaa Saleh ; Asmaa Ahmed Kamel Aly Saleh 


Abstract


Asmaa Ahmed Kamel Ali Saleh. Applications in life testing: progressive censoring for some distributions. Master of Science Dissertation of Pure Mathematics University College for Women, Ain Shams University. In this thesis, the progressively type-II right censored samples for some useful distributions are considered. In the first part we introduce definition, notations of order statistics and progressive censoring. In the second part, of this thesis, we establish some recurrence relations satisfying by the single and product moments of progressive Type-II right censored order statistics from the left and doubly truncated Lomax distributions. In the third part, some new recurrence relations satisfied by the single and product moments of progressively censored sample for the double truncated power function distribution are presented. The fourth part concerned with recurrence relations for the single and product moments of progressive Type-II right censored order statistics from the inverse Weibull, the left and the doubly truncated inverse Weibull.


Other data

Keywords order statistics, censoring, progressive Type-II censoring, recurrence relations, single moments, product moments, and power function, Lomax and inverse Wiebull distributions.
Issue Date Oct-2009
URI http://research.asu.edu.eg/handle/123456789/2293


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