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CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS
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 Title & Authors
CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS
Khan, Abdul Hamid; Faizan, Mohd.; Haque, Ziaul;
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 Abstract
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;
 Language
English
 Cited by
1.
Characterization of probability distributions by conditional expectation of function of record statistics, Journal of the Egyptian Mathematical Society, 2014, 22, 2, 275  crossref(new windwow)
2.
ON CHARACTERIZATIONS OF CONTINUOUS DISTRIBUTIONS BY CONDITIONAL EXPECTATIONS OF UPPER RECORD VALUES, Journal of the Chungcheong Mathematical Society, 2012, 25, 3, 501  crossref(new windwow)
3.
Characterization of distributions by conditional expectation of record values, Journal of the Egyptian Mathematical Society, 2016, 24, 1, 83  crossref(new windwow)
 References
1.
M. Ahsanullah, Record Statistics, Nova Science Publishers, Inc., Commack, NY, 1995.

2.
H. Athar, M. Yaqub, and H. M. Islam, On characterization of distributions through linear regression of record values and order statistics, Aligarh J. Statist. 23 (2003), 97–105.

3.
M. Y. Lee, Characterization of the exponential distribution by conditional expectations of record values, Commun. Korean Math. Soc. 16 (2001), no. 2, 287–290.

4.
M. Y. Lee, S. K. Chang, and K. H. Jung, Characterizations of the exponential distribution by order statistics and conditional expectations of record values, Commun. Korean Math. Soc. 17 (2002), no. 3, 535–540. crossref(new window)