Characterization of Distribution by Conditional Expectation of Lower Record Values

M. I. Khan^1, and M. Faizan¹

¹Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India

Cite this paper

M. I. Khan and M. Faizan. Characterization of Distribution by Conditional Expectation of Lower Record Values. American Journal of Applied Mathematics and Statistics. 2014; 2(1):7-9. doi: 10.12691/AJAMS-2-1-2

Abstract

It is widely known that the problem of characterizing a distribution an important problem which has recently attracted the attention of many researchers. Thus various characterizations have been established in many directions. In this paper, a general form of continuous probability distribution is characterized through conditional expectation of contrast of lower record statistics, conditioned on a non-adjacent record statistics and some of its deductions are also discussed.

Keywords

characterization, conditional expectation, continuous distributions, lower record values

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

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