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On Moment Generating Function of Generalized Order Statistics from Erlang-Truncated Exponential Distribution
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
- 1 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
- 2 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
- 3 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Open Journal of Statistics·Volume 02 (2012)·Pages 557–564·Published 13 December 2012·DOI10.4236/ojs.2012.25071
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Abstract
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.
KeywordsGeneralized Order StatisticsOrder StatisticsRecord ValuesErlang-Truncated Exponential DistributionMarginal and Joint Moment Generating FunctionRecurrence Relations and Characterization
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