Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution

Muhammet Bekçı

doi:10.17776/csj.600931

EN

Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution

Abstract

In this paper, certain recurrence relations for the moments of minimum order statistics of a random sample of size n arising from exponential distribution are obtained. The usefulness of these relations in evaluating the moments of exponential minimum order statistics is also discussed.

Keywords

Exponential distribution,minimum order statistics,moments,recurrence relations

References

[1] Arnold B.C., Balakrishnan N. and Nagaraja H.N., A First Course in Order Statistics, John Wiley, New York, 1992.
[2] Malik H.J., Balakrishnan N. and Ahmed S.E., Recurrence Relations and Identities for Moments of Order Statistics-I: Arbitrary Continuous Distributions, Commun. Statist.–Theo. Meth., 17 (1988) 2623-2655.
[3] Samuel P. and Thomas P.Y., An Improved form of a Recurrence Relations on the Product Moments of Order Statistics, Commun. Statist.–Theo. Meth., 29 (2000) 1559-1564.
[4] Thomas P.Y. and Samuel P., A Note on Recurrence Relations for the Product Moments of Order Statistics, Statistics & Probability Letters, 29 (1996) 245-249.
[5] Balakrishnan N., Malik H.J. and Ahmed S.E., Recurrence Relations and Identities for Moments of Order Statistics-II: Specific Continuous Distributions, Commun. Statist.–Theo. Meth., 17 (1988) 2657-2694.
[6] Raqab M.Z., Generalized Exponential Distribution: Moments of Order Statistics, Statistics, 38 (2004) 29-41.
[7] Thomas P.Y., On the Moments of Extremes from Generalized Gamma Distribution, Commun. Statist.–Theo. Meth., 25 (1996) 1825-1836.
[8] David H.A. and Nagaraja H.N., Order Statistics, 3rd edn., John Wiley & Sons, New York, 2003.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Muhammet Bekçı ^*
0000-0001-9642-872X
Türkiye

Publication Date

September 30, 2019

Submission Date

August 2, 2019

Acceptance Date

September 5, 2019

Published in Issue

Year 2019 Volume: 40 Number: 3

DOI

https://doi.org/10.17776/csj.600931

IZ

https://izlik.org/JA64NC82TJ

Cite

RIS / Bibtex

APA

Bekçı, M. (2019). Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution. Cumhuriyet Science Journal, 40(3), 700-707. https://doi.org/10.17776/csj.600931

AMA

1.Bekçı M. Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution. CSJ. 2019;40(3):700-707. doi:10.17776/csj.600931

Chicago

Bekçı, Muhammet. 2019. “Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution”. Cumhuriyet Science Journal 40 (3): 700-707. https://doi.org/10.17776/csj.600931.

EndNote

Bekçı M (September 1, 2019) Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution. Cumhuriyet Science Journal 40 3 700–707.

IEEE

[1]M. Bekçı, “Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution”, CSJ, vol. 40, no. 3, pp. 700–707, Sept. 2019, doi: 10.17776/csj.600931.

ISNAD

Bekçı, Muhammet. “Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution”. Cumhuriyet Science Journal 40/3 (September 1, 2019): 700-707. https://doi.org/10.17776/csj.600931.

JAMA

1.Bekçı M. Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution. CSJ. 2019;40:700–707.

MLA

Bekçı, Muhammet. “Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution”. Cumhuriyet Science Journal, vol. 40, no. 3, Sept. 2019, pp. 700-7, doi:10.17776/csj.600931.

Vancouver

1.Muhammet Bekçı. Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution. CSJ. 2019 Sep. 1;40(3):700-7. doi:10.17776/csj.600931

Cited By

Distribution of moments of order statistics from alpha power pareto distribution

Journal of Intelligent & Fuzzy Systems

https://doi.org/10.3233/JIFS-231873