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Commun. Korean Math. Soc. 2010; 25(3): 485-489
Printed September 1, 2010
https://doi.org/10.4134/CKMS.2010.25.3.485
Copyright © The Korean Mathematical Society.
Characterization of continuous distributions through record statistics
Abdul Hamid Khan, Mohd. Faizan, and Ziaul Haque
Aligarh Muslim University, Aligarh Muslim University, Aligarh Muslim University
A family of continuous probability distribution has been characterized through the difference of two conditional expectations, conditioned on a non-adjacent record statistic. Also, a result based on the unconditional expectation and a conditional expectation is used to characterize a family of distributions. Further, some of its deductions are also discussed.
Keywords: characterization, continuous distributions, conditional expectation, record statistics
MSC numbers: 62E10, 62G30
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