A characterization by linearity of the regression function based on order statistics

Statistics and Probability Letters

Volumn 63, Issue 4, 2003, Pages 435-440

  Balakrishnan, N ^a   Akhundov, I S ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Characterization; Order statistics; Regression function

Indexed keywords

EID: 0037632939     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(03)00123-8     Document Type: Article

References (7)

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2. Bairamov, I., Balakrishnan, N., 2001. Regression of order statistics and record values and characterization of distributions. Proceedings of the International Conference on Characterizations, Modeling and Applications, Antalya, Turkey, pp. 15-22.
3. Ferguson T.S. On characterizing distributions by properties of order statistics Sankhyá Ser. A 29 1967 265-278.
4. Johnson, N.L., Kotz, S., Balakrishnan, N., 1994. Continuous Univariate Distributions, Vol. 1, 2nd Edition. Wiley, New York.
5. Nagaraja H.N. Some characterizations of discrete distributions based on linear regressions of adjacent order statistics J. Statist. Planning Inference 20 1988 65-75.
6. 2 distribution. J. Roy. Statist. Soc. Ser. D, to appear.
7. Wesolowsky J. Ahsanullah M. On characterizing distributions via linearity of regression for order statistics Austral. J. Statist. 39 1 1997 69-78.