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Year 2019, Volume: 40 Issue: 3, 700 - 707, 30.09.2019
https://doi.org/10.17776/csj.600931

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

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.

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 Natural Sciences
Authors

Muhammet Bekçı 0000-0001-9642-872X

Publication Date September 30, 2019
Submission Date August 2, 2019
Acceptance Date September 5, 2019
Published in Issue Year 2019Volume: 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