Research Article

RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION

Volume: 10 Number: 1 January 31, 2017
  • Hossein Jabbari Khamnei *
  • Roghaye Makouyi
EN

RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION

Abstract

In this paper, a novel cumulative distribution function (c:d:f:) for beta-pareto (BP) distribution, through two distinct practical frames, is developed. However, the presented models are obviously more pragmatic than the ones being demonstrated in previous works, in the case of extending the further relations.
Then, using the exhibited c.d.f.s, certain recurrence relations for the single and product moments of the order statistics of a random sample of size n arising from beta-Pareto distribution are derived.

Keywords

References

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  3. Arnold B. C., Balakrishnan N. and Nagaraja H. N. (1992). A rst course in order statistics. John Wiley, New York.
  4. Cordeiro, G. M. and Lemonte, A. J. (2011). The ?-Birnbaum-Saunders distribution: An improved distribution for fatigue life modeling. Computational Statistics and Data Analysis, 55, 1445-1461.
  5. David H. A. and Nagaraja H. N. (2003). Order statistics. 3rd edn. John Wiley & Sons, New York.
  6. Eugene N., Lee, C. and Famoye, F. (2002). The beta-normal distribution and its applications. Communications in Statistics - Theory and Methods, 31(4), 497-512.
  7. Famoye, F., Lee, C. and Olumolade O. (2005). The beta-Weibull distribution. Journal of Statistical Theory and Applications, 4(2), 121-136.
  8. Gradshteyn I. S. and Ryzhik I. M. (2007). Table of Integrals, Series, and Products. 7th Edition. Elsevier Inc.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hossein Jabbari Khamnei * This is me
Iran

Roghaye Makouyi This is me
Iran

Publication Date

January 31, 2017

Submission Date

May 4, 2016

Acceptance Date

January 12, 2017

Published in Issue

Year 2017 Volume: 10 Number: 1

APA
Khamnei, H. J., & Makouyi, R. (2017). RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association, 10(1), 1-13. https://izlik.org/JA76YU55UU
AMA
1.Khamnei HJ, Makouyi R. RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION. IJTSA. 2017;10(1):1-13. https://izlik.org/JA76YU55UU
Chicago
Khamnei, Hossein Jabbari, and Roghaye Makouyi. 2017. “RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 10 (1): 1-13. https://izlik.org/JA76YU55UU.
EndNote
Khamnei HJ, Makouyi R (January 1, 2017) RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association 10 1 1–13.
IEEE
[1]H. J. Khamnei and R. Makouyi, “RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION”, IJTSA, vol. 10, no. 1, pp. 1–13, Jan. 2017, [Online]. Available: https://izlik.org/JA76YU55UU
ISNAD
Khamnei, Hossein Jabbari - Makouyi, Roghaye. “RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 10/1 (January 1, 2017): 1-13. https://izlik.org/JA76YU55UU.
JAMA
1.Khamnei HJ, Makouyi R. RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION. IJTSA. 2017;10:1–13.
MLA
Khamnei, Hossein Jabbari, and Roghaye Makouyi. “RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association, vol. 10, no. 1, Jan. 2017, pp. 1-13, https://izlik.org/JA76YU55UU.
Vancouver
1.Hossein Jabbari Khamnei, Roghaye Makouyi. RECURRENCE RELATION FOR THE MOMENTS OF ORDER STATISTICS FROM A BETA-PARETO DISTRIBUTION. IJTSA [Internet]. 2017 Jan. 1;10(1):1-13. Available from: https://izlik.org/JA76YU55UU