A characterization of the gamma distribution in terms of conditional moment

Maia Koicheva

Applications of Mathematics (1993)

  • Volume: 38, Issue: 1, page 19-22
  • ISSN: 0862-7940

Abstract

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A characteriyation of the Gamma distribution in terms of the k -th conditional moment presented in this paper extends the result of Shunji Osaki and Xin-xiang Li (1988).

How to cite

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Koicheva, Maia. "A characterization of the gamma distribution in terms of conditional moment." Applications of Mathematics 38.1 (1993): 19-22. <http://eudml.org/doc/15733>.

@article{Koicheva1993,
abstract = {A characteriyation of the Gamma distribution in terms of the $k$-th conditional moment presented in this paper extends the result of Shunji Osaki and Xin-xiang Li (1988).},
author = {Koicheva, Maia},
journal = {Applications of Mathematics},
keywords = {characterization of distribution; Gamma distribution; conditional moment; failure rate; conditional moment; failure rate; characterization; gamma distribution},
language = {eng},
number = {1},
pages = {19-22},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A characterization of the gamma distribution in terms of conditional moment},
url = {http://eudml.org/doc/15733},
volume = {38},
year = {1993},
}

TY - JOUR
AU - Koicheva, Maia
TI - A characterization of the gamma distribution in terms of conditional moment
JO - Applications of Mathematics
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 1
SP - 19
EP - 22
AB - A characteriyation of the Gamma distribution in terms of the $k$-th conditional moment presented in this paper extends the result of Shunji Osaki and Xin-xiang Li (1988).
LA - eng
KW - characterization of distribution; Gamma distribution; conditional moment; failure rate; conditional moment; failure rate; characterization; gamma distribution
UR - http://eudml.org/doc/15733
ER -

References

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  1. T. A. Azlarov N. A. Volodin, Characterization problems associated with the exponential distribution., "FAN", Tashkent, (1982). (1982) MR0714525
  2. J. Galamos S. Kotz, Characterizations of probability distributions, Lect. Notes Math. 675 (1978). (1978) 
  3. A. M. Kagan Y. V. Linnik C. R. Rao, Characterization problems in mathematical statistics, "Nauka", Moskva, 1972. (1972) MR0315813
  4. J. Letac, 10.2307/1427095, Adv. Apl. Prob. 17 (1985), 911-912. (1985) Zbl0579.60013MR0809436DOI10.2307/1427095
  5. E. Lukacs, 10.1214/aoms/1177728549, Ann. Math. Statist. 26 (1965), 319-324. (1965) MR0069408DOI10.1214/aoms/1177728549
  6. Shunji Osaki, Xin-xiang Li, 10.1109/24.9843, IEEE Transactions on reliability 37 (4) (1988), 379-382. (1988) DOI10.1109/24.9843

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