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Ahsanullah, M. (2004). Record Values-Theory and Applications.University Press of America, New York.

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Article

Characterization of Distribution by Conditional Expectation of Lower Record Values

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


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 1, 7-9
DOI: 10.12691/ajams-2-1-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
M. I. Khan, 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.

Correspondence to: M.  I. Khan, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India. Email: izhar.stats@gmail.com

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.

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