RECURRENCE RELATIONS FOR MOMENT GENERATING FUNCTIONS OF GENERALIZED ORDER STATISTICS BASED ON DOUBLY TRUNCATED CLASS OF DISTRIBUTIONS

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ABD ELLAH A.H.; AHMAD ABD EL BASET A.; FAWZY MOHAMMAD A.

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Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2009 | Volume:6 | Issue:2 Page(s): 209-230

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Title

RECURRENCE RELATIONS FOR MOMENT GENERATING FUNCTIONS OF GENERALIZED ORDER STATISTICS BASED ON DOUBLY TRUNCATED CLASS OF DISTRIBUTIONS

Author(s)

ABD ELLAH A.H. | AHMAD ABD EL BASET A. | FAWZY MOHAMMAD A. | Issue Writer Certificate

Keywords

GENERALIZED ORDER STATISTICSQ1

RECURRENCE RELATIONSQ1

MOMENT GENERATING FUNCTIONSQ1

ORDER STATISTICSQ1

K-RECORDSQ1

CHARACTERIZATIONSQ1

TRUNCATED DISTRIBUTIONSQ1

Abstract

In this paper, we derived RECURRENCE RELATIONS for joint MOMENT GENERATING FUNCTIONS of nonadjacent ORDER STATISTICS/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">GENERALIZED ORDER STATISTICS (GOS) of random samples drawn from doubly truncated class of continuous distributions.Recurrence relations for joint moments of nonadjacent GOS (ordinary ORDER STATISTICS (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product MOMENT GENERATING FUNCTIONS (moments) of nonadjacent GOS are derived. Doubly truncated new modified Weibull (Weibull, Extreme-value, exponential and Rayleigh), three Burr type XII (Lomax) and inverse Weibull distributions, among others, arise as special cases of this doubly truncated class. Two applications are introduced, the first is the CHARACTERIZATIONS for members of the class based on RECURRENCE RELATIONS for moments of GOS, OOS and k-RVs. As the second application we found Tables of single and product moments of OOS from doubly truncated Lomax distribution.

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APA: Copy

ABD ELLAH, A.H., AHMAD, ABD EL BASET A., & FAWZY, MOHAMMAD A.. (2009). RECURRENCE RELATIONS FOR MOMENT GENERATING FUNCTIONS OF GENERALIZED ORDER STATISTICS BASED ON DOUBLY TRUNCATED CLASS OF DISTRIBUTIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 6(2), 209-230. SID. https://sid.ir/paper/129951/en

Vancouver: Copy

ABD ELLAH A.H., AHMAD ABD EL BASET A., FAWZY MOHAMMAD A.. RECURRENCE RELATIONS FOR MOMENT GENERATING FUNCTIONS OF GENERALIZED ORDER STATISTICS BASED ON DOUBLY TRUNCATED CLASS OF DISTRIBUTIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2009;6(2):209-230. Available from: https://sid.ir/paper/129951/en

IEEE: Copy

A.H. ABD ELLAH, ABD EL BASET A. AHMAD, and MOHAMMAD A. FAWZY, “RECURRENCE RELATIONS FOR MOMENT GENERATING FUNCTIONS OF GENERALIZED ORDER STATISTICS BASED ON DOUBLY TRUNCATED CLASS OF DISTRIBUTIONS,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 6, no. 2, pp. 209–230, 2009, [Online]. Available: https://sid.ir/paper/129951/en

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