Moments of order statistics from nonidentically Distributed Lomax, exponential Lomax and exponential Pareto Variables
DOI:
https://doi.org/10.24297/jam.v14i1.6638Keywords:
moments of order statistics, nonidentically distributed order statistics, Lomax distribution, exponential Lomax distribution, exponential Pareto distributionAbstract
In this paper, the probability density function and the cumulative distribution function of the rth order statistic arising from independent nonidentically distributed (INID) Lomax, exponential Lomax and exponential Pareto variables are presented. The moments of order statistics from INID Lomax, exponential lomax and exponential Pareto were derived using the technique established by Barakat and Abdelkader. Also, numerical examples are given.
Downloads
Download data is not yet available.
References
[1] Abdelkader, Y.H., (2004a), Computing the moments of order statistics from nonidentically distributed erlang variables, Statistical Paper, 45, 563-570.
[2] Abdelkader, Y.H., (2004b), Computing the moments of order statistics from nonidentically distributed gamma variables with applications, Int. J. Math. Game Theo. Algebra, 14, 1 – 8.
[3] Abdelkader, Y.H., (2010), Computing the moments of order statistics from independent nonidentically distributed beta random variables, Stat. Papers, 51, 307-313.
[4] Abed Al-Kadim, K. and Boshi, M.A., (2013), Exponential Pareto distribution, Mathematical Theory and Modeling, 3, 135-146.
[5] Al-Saiary, Z.A., (2015), Order statistics from nonidentical standard type generalized logistic variables and applications at moments, American Journal of Theoretical and applied statistics, 4, 1 – 5.
[6] Balakrishnan, N., (1994), Order statistics from nonidentically exponential random variables and some applications, comput. in statistics Data-Anal., 18, 203-253.
[7] Bapat, R.B. and Beg, M.I., (1989), order statistics from nonidentically distributed variables and permanents, Sankhya, A, 51, 79-93.
[8] Barakat, H.M. and Abdelkader, Y.H., (2000), Computing the moments of order statistics from nonidentically distributed weibull, Journal of Computation and applied mathematics, 117, 85 – 90.
[9] Barakat, H.M. and Abdelkader, Y.H, (2003), Computing the moments of order statistics from nonidentical random variables, Statistical Methods and applications,13, 15 – 26.
[10] Childs, A. and Balakrishnan, N, (2006), Relations for order statistics from nonidentical Logistic random variables and assessment of the effect of multiple outliers on bias of linear estimators, J. Stat. Plann. Inference, 136,2227 – 2253.
[11] El-Bassiouny, A.H., Abdo, N. and Shahen, H.S., (2015), Exponential Lomax distribution, International Journal of Computer applications, 121, 24– 29.
[12] Jamjoom, A.A. (2006), Computing the moments of order statistics from noniddentically distributed Burr XII random variables, Journal of Mathematics and Statistics,.2,432– 438.
[13] Jamjoom, A.A. and Al-Saiary, Z. A. (2010), Moments of order statistics from nonidentically distributed three parameters beta I and erlang truncated exponential variables, Journal of Mathematics and statistics, 6, 442-448.
[14] Jamjoom, A.A., and Al-Saiary, Z. A., (2011), Moment generating function technique for moments of order statistics from nonidetncially distributed random variables, International Journal of Statistics and System, 6, 177-188.
[15] Jamjoom, A.A. and Al-Saiary, Z. A., (2013), Moments of nonidentical order statistics from Burr XII distribution with gamma and normal outliers, Journal of Mathematics and statistics, 9, 51- 61.
[16] Lemonte, A.J. and Cordeiro, G. M., (2013), An extended Lomax distribution, Statistics, 47, 800 – 816.
[17] Minc, H., (1987), Theory of Permanents 1981 – 1985, Linear and multi linear Algebra, 21, 109 – 198.
[18] Mohie Elidin, M., Mahmoud, M., Moshref, M. and Mohamed, M. (2007), on independent and nonidentical order statistics and associated inference, Department of mathematics, Cairo, Al-Azhar University.
[2] Abdelkader, Y.H., (2004b), Computing the moments of order statistics from nonidentically distributed gamma variables with applications, Int. J. Math. Game Theo. Algebra, 14, 1 – 8.
[3] Abdelkader, Y.H., (2010), Computing the moments of order statistics from independent nonidentically distributed beta random variables, Stat. Papers, 51, 307-313.
[4] Abed Al-Kadim, K. and Boshi, M.A., (2013), Exponential Pareto distribution, Mathematical Theory and Modeling, 3, 135-146.
[5] Al-Saiary, Z.A., (2015), Order statistics from nonidentical standard type generalized logistic variables and applications at moments, American Journal of Theoretical and applied statistics, 4, 1 – 5.
[6] Balakrishnan, N., (1994), Order statistics from nonidentically exponential random variables and some applications, comput. in statistics Data-Anal., 18, 203-253.
[7] Bapat, R.B. and Beg, M.I., (1989), order statistics from nonidentically distributed variables and permanents, Sankhya, A, 51, 79-93.
[8] Barakat, H.M. and Abdelkader, Y.H., (2000), Computing the moments of order statistics from nonidentically distributed weibull, Journal of Computation and applied mathematics, 117, 85 – 90.
[9] Barakat, H.M. and Abdelkader, Y.H, (2003), Computing the moments of order statistics from nonidentical random variables, Statistical Methods and applications,13, 15 – 26.
[10] Childs, A. and Balakrishnan, N, (2006), Relations for order statistics from nonidentical Logistic random variables and assessment of the effect of multiple outliers on bias of linear estimators, J. Stat. Plann. Inference, 136,2227 – 2253.
[11] El-Bassiouny, A.H., Abdo, N. and Shahen, H.S., (2015), Exponential Lomax distribution, International Journal of Computer applications, 121, 24– 29.
[12] Jamjoom, A.A. (2006), Computing the moments of order statistics from noniddentically distributed Burr XII random variables, Journal of Mathematics and Statistics,.2,432– 438.
[13] Jamjoom, A.A. and Al-Saiary, Z. A. (2010), Moments of order statistics from nonidentically distributed three parameters beta I and erlang truncated exponential variables, Journal of Mathematics and statistics, 6, 442-448.
[14] Jamjoom, A.A., and Al-Saiary, Z. A., (2011), Moment generating function technique for moments of order statistics from nonidetncially distributed random variables, International Journal of Statistics and System, 6, 177-188.
[15] Jamjoom, A.A. and Al-Saiary, Z. A., (2013), Moments of nonidentical order statistics from Burr XII distribution with gamma and normal outliers, Journal of Mathematics and statistics, 9, 51- 61.
[16] Lemonte, A.J. and Cordeiro, G. M., (2013), An extended Lomax distribution, Statistics, 47, 800 – 816.
[17] Minc, H., (1987), Theory of Permanents 1981 – 1985, Linear and multi linear Algebra, 21, 109 – 198.
[18] Mohie Elidin, M., Mahmoud, M., Moshref, M. and Mohamed, M. (2007), on independent and nonidentical order statistics and associated inference, Department of mathematics, Cairo, Al-Azhar University.
Downloads
Published
2018-01-16
How to Cite
Rashwan, N. I. (2018). Moments of order statistics from nonidentically Distributed Lomax, exponential Lomax and exponential Pareto Variables. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7431–7438. https://doi.org/10.24297/jam.v14i1.6638
Issue
Section
Articles
License
All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.
