Some Characterization Results based on Conditional Expectation of function of Dual Generalized Order Statistics

Md Izhar Khan

Abstract


 Two families of probability distributions are characterized through the conditional expectations of dual generalized order statistics ( ), conditioned on a non-adjacent dual generalized order statistics. Also a result based on the unconditional expectation and a conditional expectation of  is used to characterize family of distributions. Further, some of its deductions are also discussed.


Keywords


Characterization; Conditional expectation; Dual generalized order statistics; Probability distributions

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DOI: http://dx.doi.org/10.18187/pjsor.v8i4.405

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Title

Some Characterization Results based on Conditional Expectation of function of Dual Generalized Order Statistics

Keywords

Characterization; Conditional expectation; Dual generalized order statistics; Probability distributions

Description

 Two families of probability distributions are characterized through the conditional expectations of dual generalized order statistics ( ), conditioned on a non-adjacent dual generalized order statistics. Also a result based on the unconditional expectation and a conditional expectation of  is used to characterize family of distributions. Further, some of its deductions are also discussed.


Date

2012-11-08

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 8 No. 4. 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810