Research Article
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
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 | |
| Publication Date | September 30, 2019 |
| Submission Date | August 2, 2019 |
| Acceptance Date | September 5, 2019 |
| Published in Issue | Year 2019 Volume: 40 Issue: 3 |