Characteristic properties of generalized order statistics from exponential distributions

• Autorzy: Udo Kamps , Ursula Gather
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

aging properties; generalized order statistics; exponential distribution; spacings; characterization

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 4
• Strony: 383-391

Daty

wydano

1997

otrzymano

1995-12-01

poprawiono

1996-07-20

Twórcy

autor

Udo Kamps

• Department of Statistics, University of Dortmund, 44221 Dortmund, Germany

autor

Ursula Gather

• 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.