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
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- 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 population with two degrees of freedom, Ann. Eugenics 8, 52-56.
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