# Characteristic properties of generalized order statistics from exponential distributions

Applicationes Mathematicae (1997)

- Volume: 24, Issue: 4, page 383-391
- ISSN: 1233-7234

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topKamps, Udo, and Gather, Ursula. "Characteristic properties of generalized order statistics from exponential distributions." Applicationes Mathematicae 24.4 (1997): 383-391. <http://eudml.org/doc/219179>.

@article{Kamps1997,

abstract = {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.},

author = {Kamps, Udo, Gather, Ursula},

journal = {Applicationes Mathematicae},

keywords = {aging properties; generalized order statistics; exponential distribution; spacings; characterization; spacing; exponential distributions; characterizations},

language = {eng},

number = {4},

pages = {383-391},

title = {Characteristic properties of generalized order statistics from exponential distributions},

url = {http://eudml.org/doc/219179},

volume = {24},

year = {1997},

}

TY - JOUR

AU - Kamps, Udo

AU - Gather, Ursula

TI - Characteristic properties of generalized order statistics from exponential distributions

JO - Applicationes Mathematicae

PY - 1997

VL - 24

IS - 4

SP - 383

EP - 391

AB - 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.

LA - eng

KW - aging properties; generalized order statistics; exponential distribution; spacings; characterization; spacing; exponential distributions; characterizations

UR - http://eudml.org/doc/219179

ER -

## References

top- M. Ahsanullah (1978), A characterization of the exponential distribution by spacings, Ann. Inst. Statist. Math. 30A, 163-166. Zbl0444.62015
- M. Ahsanullah (1981a), Record values of exponentially distributed random variables, Statist. Hefte 22, 121-127. Zbl0471.62017
- M. Ahsanullah (1981b), On characterizations of the exponential distribution by spacings, ibid., 316-320. Zbl0479.62009
- 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. Zbl0672.62021
- U. Gather (1988), On a characterization of the exponential distribution by properties of order statistics, Statist. Probab. Lett. 7, 93-96. Zbl0655.62008
- 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. Zbl0905.62008
- M. Iwińska (1986), On the characterizations of the exponential distribution by order statistics and record values, Fasc. Math. 16, 101-107. Zbl0622.62014
- U. Kamps (1995), A Concept of Generalized Order Statistics, Teubner, Stuttgart. Zbl0838.62038
- P. V. Sukhatme (1937), Tests of significance for samples of the ${\chi}^{2}$ population with two degrees of freedom, Ann. Eugenics 8, 52-56.

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