RECURRENCE RELATIONS FOR SINGLE AND PRODUCT MOMENTS OF LOWER GENERALIZED ORDER STATISTICS FROM A GENERAL FORM OF DISTRIBUTIONS AND ITS CHARACTERIZATIONS
M. S. Kotb; Marwa M. Mohie El-Din; Newer, Haidy;
Abstract
In this paper, we present recurrence relations for moments of lower generalized order statistics within a general form of doubly truncated distributions. Characterizations for the general form of doubly truncated distributions are studied. This the general form of distributions includes distributions such as doubly truncated inverted Weibull, inverted Gompertz, generalized logistic, Burr type X, Burr type XII, logistic, inverted Pareto, inverted compound Weibull, Gumbel and compound Gompertz, among others. Doubly truncated inverted Weibull, log-inverse generalized Weibull and inverted Pareto distribution are given as applications to illustrate the results.
Other data
Title | RECURRENCE RELATIONS FOR SINGLE AND PRODUCT MOMENTS OF LOWER GENERALIZED ORDER STATISTICS FROM A GENERAL FORM OF DISTRIBUTIONS AND ITS CHARACTERIZATIONS | Authors | M. S. Kotb ; Marwa M. Mohie El-Din ; Newer, Haidy | Keywords | generalized order statistics, doubly truncated distribution, ordinary order statistics, record values, moments, characterizations | Issue Date | 31-Jan-2013 | Journal | International Journal of Pure and Applied Mathematics | DOI | 10.12732/ijpam.v87i2.4 |
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