On solutions to min $$(X,{\text{ Y}})\mathop = \limits^d aX$$ and min $$(X,{\text{ Y}})\mathop = \limits^d aX\mathop = \limits^d bY$$

Author:

Arnold Barry C.,Isaacson Dean

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference5 articles.

1. Arnold, B. C.: Two characterizations of the exponential distribution using order statistics. Unpublished (1971)

2. Arnold, B. C.: The waiting time until first duplication. J. Appl. Probability 9, 841?846 (1972)

3. Galambos, J.: Characterizations of probability distributions by properties of order statistics I. Statistical Distributions in Scientific Work, Vol. 3; Characterizations and Applications (Ed. G. P. Patil et al.), pp. 71?88. Dordrecht and Boston: D. Reidel Co. 1975

4. Gupta, R. C.: A characteristic property of the exponential distribution. Sankhya, Ser. B. 35, 365?366 (1973)

5. Huang, J.S.: On a theorem of Ahsanullah and Rahman. J. Appl. Probability 11, 216?218 (1974)

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3. 9 Characterizations of distributions via identically distributed functions of order statistics;Handbook of Statistics;1998

4. Minification processes with discrete marginals;Journal of Applied Probability;1995-09

5. On normal characterizations by the distribution of linear forms, assuming finite variance;Stochastic Processes and their Applications;1978-06

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