In this paper the moment generating function of order statistics arising from independent non-identically distributed (INID) Standard type II Generalized logistic (SGLII) variables is established. A recurrence relation for all moments of all order statistics arising from INID SGLII is computed. Special cases for moments are deduced using polygamma function. Some numerical examples are given.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 4, Issue 1) |
| DOI | 10.11648/j.ajtas.20150401.11 |
| Page(s) | 1-5 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Moments, Nonidentically Order Statistics, Standard Type II Generalized Logistic distribution, Polygamma Function
| [1] | ABDELKADER, Y. (2004) Computing the moments of order statistics from nonidentically distributed Gamma variables with applications Int J Math Game Theo Algebra, 14. |
| [2] | ABDELKADER, Y. (2008) Computing the moments of order statistics from independent nonidentically distributed Beta random variables. Stat Pap, 49, 136-149. |
| [3] | BALAKRISHNAN, N. (1994) Order statistics from non-identically exponential random variables and some applications. Comput. in Statistics Data-Anal, 18, 203-253. |
| [4] | BALAKRISHNAN, N. & HOSSAIN, A. (2007) Inference for the type II generalized logistic distribution under progressive type II censoring. Journal of statistical computation and simulation, 77, 1013-1031. |
| [5] | BAPAT, R. B. & BEG, M. I. (1989) Order statistics from non-identically distributed variables and permanents. Sankh˜ya, A, 51, 79-93. |
| [6] | BARAKAT, H. & ABDELKADER, Y. (2003) Computing the moments of order statistics from nonidentical random variables Stat Meth Appl, 13, 15-26. |
| [7] | BARAKAT, H. M. & ABDELKADER, Y. H. (2000) Computing the moments of order statistics from nonidentically distributed Weibull variables. J. Comp. Appl. Math, 117, 85-90. |
| [8] | CHILDS, A. & BALAKRISHNAN, N. (2006) Relations for order statistics from non-identical logistic random variables and assessment of the effect of multiple outliers on bias of linear estimators. J. Statist. Plann. Inference, 136, 2227-2253. |
| [9] | DAVID, H. A. & NAGARAJA, H. N. (2003) Order Statistics, Third Edition. Wiley, New York. |
| [10] | JAMJOOM, A. A. (2006) Computing the moments of order statistics from independent nonidentically distributed Burr type XII random variables. journal of Mathematics and Statistics, 2, 432-438. |
| [11] | JAMJOOM, A. & AL-SAIARY. A. (2011) Moment Generating Function Technique for Moments of Order Statistics from Nonidentically Distributed Random variables. International journal of Statistics and Systems, 6, 177-188. |
| [12] | MOHIE ELIDIN, M., MAHMOUD, M., MOSHREF, M. & MOHMED, M. (2007) On independent and nonidentical order statistics and associated inference. Department of mathematics. Cairo, Ai-Azhar University. |
| [13] | VAUGHAN, R. J. & VENABLES, W. N. (1972) Permanent expressions for order statistics densities. J. R. Statist. Soc, 34, 08 - 10. |
APA Style
Z. AL-Saiary. (2015). Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments. American Journal of Theoretical and Applied Statistics, 4(1), 1-5. https://doi.org/10.11648/j.ajtas.20150401.11
ACS Style
Z. AL-Saiary. Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments. Am. J. Theor. Appl. Stat. 2015, 4(1), 1-5. doi: 10.11648/j.ajtas.20150401.11
AMA Style
Z. AL-Saiary. Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments. Am J Theor Appl Stat. 2015;4(1):1-5. doi: 10.11648/j.ajtas.20150401.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajtas.20150401.11,
author = {Z. AL-Saiary},
title = {Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {4},
number = {1},
pages = {1-5},
doi = {10.11648/j.ajtas.20150401.11},
url = {https://doi.org/10.11648/j.ajtas.20150401.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150401.11},
abstract = {In this paper the moment generating function of order statistics arising from independent non-identically distributed (INID) Standard type II Generalized logistic (SGLII) variables is established. A recurrence relation for all moments of all order statistics arising from INID SGLII is computed. Special cases for moments are deduced using polygamma function. Some numerical examples are given.},
year = {2015}
}
TY - JOUR T1 - Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments AU - Z. AL-Saiary Y1 - 2015/01/16 PY - 2015 N1 - https://doi.org/10.11648/j.ajtas.20150401.11 DO - 10.11648/j.ajtas.20150401.11 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 1 EP - 5 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20150401.11 AB - In this paper the moment generating function of order statistics arising from independent non-identically distributed (INID) Standard type II Generalized logistic (SGLII) variables is established. A recurrence relation for all moments of all order statistics arising from INID SGLII is computed. Special cases for moments are deduced using polygamma function. Some numerical examples are given. VL - 4 IS - 1 ER -
Information
Email: