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Year 2019, Volume: 40 Issue: 3, 700 - 707, 30.09.2019

Muhammet Bekçı

https://doi.org/10.17776/csj.600931
https://izlik.org/JA64NC82TJ

Abstract

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.
  • [9] Bekçi M., Recurrence Relations for the Moments of Order Statistics from Uniform Distribution, Scientific Research and Essay, 4-11 (2009) 1302-1305.
  • [10] Khan R.U., Kumar D. and Athar H., Moments of Generalized Order Statistics from Erlang-Truncated Exponential Distribution and Its Characterization, Int. J. Stat. Syst., 5-4 (2010) 455-464.
  • [11] Khwaja S.K., Athar H. and Nayabuddin, Recurrence Relations for Marginal and Joint Moment Generating Function of Lower Generalized Order Statistics from Extended Type I Generalized Logistic Distribution, J. Appl. Stat. Sci., 20-1 (2012) 21-28.
  • [12] Ismail A.A. and Abu-Youssef S.E., Recurrence Relations for the Moments of Order Statistics from Doubly Truncated Modified Makeham Distribution and Its Characterization, Journal of King Saud University-Science, 26 (2014) 200-204.
  • [13] Nayabuddin and Athar H., Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Marshall-Olkin Extended Pareto Distributions, Comm. Statist. Theory Methods, 46-16 (2017) 7820-7826.
  • [14] Zarrin S., Athar H. and Abdel-Aty Y., Relations for Moments of Generalized Order Statistics from Power Lomax Distribution, J. Stat. Appl. Pro. Lett., 6-1 (2019) 29-36.

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

Year 2019, Volume: 40 Issue: 3, 700 - 707, 30.09.2019

Muhammet Bekçı

https://doi.org/10.17776/csj.600931
https://izlik.org/JA64NC82TJ

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.
  • [9] Bekçi M., Recurrence Relations for the Moments of Order Statistics from Uniform Distribution, Scientific Research and Essay, 4-11 (2009) 1302-1305.
  • [10] Khan R.U., Kumar D. and Athar H., Moments of Generalized Order Statistics from Erlang-Truncated Exponential Distribution and Its Characterization, Int. J. Stat. Syst., 5-4 (2010) 455-464.
  • [11] Khwaja S.K., Athar H. and Nayabuddin, Recurrence Relations for Marginal and Joint Moment Generating Function of Lower Generalized Order Statistics from Extended Type I Generalized Logistic Distribution, J. Appl. Stat. Sci., 20-1 (2012) 21-28.
  • [12] Ismail A.A. and Abu-Youssef S.E., Recurrence Relations for the Moments of Order Statistics from Doubly Truncated Modified Makeham Distribution and Its Characterization, Journal of King Saud University-Science, 26 (2014) 200-204.
  • [13] Nayabuddin and Athar H., Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Marshall-Olkin Extended Pareto Distributions, Comm. Statist. Theory Methods, 46-16 (2017) 7820-7826.
  • [14] Zarrin S., Athar H. and Abdel-Aty Y., Relations for Moments of Generalized Order Statistics from Power Lomax Distribution, J. Stat. Appl. Pro. Lett., 6-1 (2019) 29-36.
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Muhammet Bekçı 0000-0001-9642-872X

Submission Date August 2, 2019
Acceptance Date September 5, 2019
Publication Date September 30, 2019
DOI https://doi.org/10.17776/csj.600931
IZ https://izlik.org/JA64NC82TJ
Published in Issue Year 2019 Volume: 40 Issue: 3

Cite

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

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

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