On a characterization of generalized Erlang-truncated exponential distribution through distributional properties of dual generalized order statistics

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Published: Dec 31, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1241
Keywords:
Characterization of distributions translation contraction dilation

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Imtiyaz A. Shah

Abstract

Generalized Erlang-truncated exponential distribtion ${F(x)=[1-e^{-\beta(1-e^{-\lambda})x}]}$ has been characterized through translation of two non-adjacent dual generalized order statistics (dgos) and then the characterizing results are obtained for generalized Pareto distribution through dilation of dual generalized order statistics (dgos) and generalized power function distribution through pcontraction of non-adjacent generalized order statistics (gos). Further, the results are deduced for order statistics, lower record statistics, upper record statistics and adjacent generalized order statistics and dual generalized order statistics.

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How to Cite
Shah, I. A. (2013). On a characterization of generalized Erlang-truncated exponential distribution through distributional properties of dual generalized order statistics. Tamkang Journal of Mathematics, 44(4), 445–452. https://doi.org/10.5556/j.tkjm.44.2013.1241
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biography

Imtiyaz A. Shah

Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202 022, India

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