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Relations for Moment Generating Functions of Lower Generalized Order Statistics from Doubly Truncated Continuous Distributions and Characterizations |
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PP: 1-8 |
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Author(s) |
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R. U. Khan,
Devendra Kumar,
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Abstract |
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| In this paper, we derive recurrence relations for moment generating function of lower generalized order statistics within a
class of doubly truncated distributions. Doubly truncated inverseWeibull, exponentiatedWeibull, power function, exponentiated Pareto,
exponentiated gamma, generalized exponential, exponentiated log-logistic, generalized inverse Weibull, extended type I generalized
logistic, logistic and Gumble distributions are given as illustrative examples. Further, recurrence relations for moment generating
function of order statistics and lower record values are obtained as special cases of the lower generalized order statistics, also two
theorems for characterizing the general form of distribution based on moment generating function of lower generalized order statistics
are given. |
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