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. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Moments, Nonidentically Order Statistics, Standard Type II Generalized Logistic distribution, Polygamma Function
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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
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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 -
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