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On Moment Generating Function of Generalized Order Statistics from Erlang-Truncated Exponential Distribution

On Moment Generating Function of Generalized Order Statistics from Erlang-Truncated Exponential Distribution
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摘要 In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of function of generalized order statistics is discussed. In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of function of generalized order statistics is discussed.
出处 《Open Journal of Statistics》 2012年第5期557-564,共8页 统计学期刊(英文)
关键词 Generalized Order STATISTICS Order STATISTICS Record Values Erlang-Truncated Exponential Distribution MARGINAL and Joint MOMENT Generating Function RECURRENCE Relations and Characterization Generalized Order Statistics Order Statistics Record Values Erlang-Truncated Exponential Distribution Marginal and Joint Moment Generating Function Recurrence Relations and Characterization
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