Exponential distributions are characterized by distributional properties of generalized order statistics. These characterizations include known results for ordinary order statistics and record values as particular cases.
Department of Statistics, University of Dortmund, 44221 Dortmund, Germany
Bibliografia
M. Ahsanullah (1978), A characterization of the exponential distribution by spacings, Ann. Inst. Statist. Math. 30A, 163-166.
M. Ahsanullah (1981a), Record values of exponentially distributed random variables, Statist. Hefte 22, 121-127.
M. Ahsanullah (1981b), On characterizations of the exponential distribution by spacings, ibid., 316-320.
L. Gajek and U. Gather (1989), Characterizations of the exponential distribution by failure rate- and moment properties of order statistics, in: J. Hüsler and R. D. Reiss (eds.), Extreme Value Theory, Springer, Berlin, 114-124.
U. Gather (1988), On a characterization of the exponential distribution by properties of order statistics, Statist. Probab. Lett. 7, 93-96.
U. Gather, U. Kamps and N. Schweitzer (1997), Characterizations of distributions via identically distributed functions of order statistics, in: C. R. Rao and N. Balakrishnan (eds.), Handbook of Statistics-16, Order Statistics and Their Applications, North-Holland, Amsterdam, to appear.
M. Iwińska (1986), On the characterizations of the exponential distribution by order statistics and record values, Fasc. Math. 16, 101-107.
U. Kamps (1995), A Concept of Generalized Order Statistics, Teubner, Stuttgart.
P. V. Sukhatme (1937), Tests of significance for samples of the $χ^2$ population with two degrees of freedom, Ann. Eugenics 8, 52-56.
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Bibliografia
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