We introduce a new family of distributions using truncated the Discrete Mittag- Leffler distribution. It can be considered as a generalization of the Marshall-Olkin family of distributions. Some properties of this new family are derived. As a particular case, a three parameter generalization of Uniform distribution is given special attention. The shape properties, moments, distributions of the order statistics, entropies are derived and estimation of the unknown parameters is discussed. An application in autoregressive time series modeling is also included.
| Published in | International Journal of Statistical Distributions and Applications (Volume 2, Issue 3) |
| DOI | 10.11648/j.ijsd.20160203.12 |
| Page(s) | 35-41 |
| 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), 2024. Published by Science Publishing Group |
Discrete Mittag-Leffler Distribution, Entropy, Marshall-Olkin Family of Distributions, Maximum Likelihood, Random Variate Generation, Truncated Negative Binomial Distribution, Uniform Distribution
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APA Style
K. K. Sankaran, K. Jayakumar. (2016). A New Extended Uniform Distribution. International Journal of Statistical Distributions and Applications, 2(3), 35-41. https://doi.org/10.11648/j.ijsd.20160203.12
ACS Style
K. K. Sankaran; K. Jayakumar. A New Extended Uniform Distribution. Int. J. Stat. Distrib. Appl. 2016, 2(3), 35-41. doi: 10.11648/j.ijsd.20160203.12
AMA Style
K. K. Sankaran, K. Jayakumar. A New Extended Uniform Distribution. Int J Stat Distrib Appl. 2016;2(3):35-41. doi: 10.11648/j.ijsd.20160203.12
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Download@article{10.11648/j.ijsd.20160203.12,
author = {K. K. Sankaran and K. Jayakumar},
title = {A New Extended Uniform Distribution},
journal = {International Journal of Statistical Distributions and Applications},
volume = {2},
number = {3},
pages = {35-41},
doi = {10.11648/j.ijsd.20160203.12},
url = {https://doi.org/10.11648/j.ijsd.20160203.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20160203.12},
abstract = {We introduce a new family of distributions using truncated the Discrete Mittag- Leffler distribution. It can be considered as a generalization of the Marshall-Olkin family of distributions. Some properties of this new family are derived. As a particular case, a three parameter generalization of Uniform distribution is given special attention. The shape properties, moments, distributions of the order statistics, entropies are derived and estimation of the unknown parameters is discussed. An application in autoregressive time series modeling is also included.},
year = {2016}
}
TY - JOUR T1 - A New Extended Uniform Distribution AU - K. K. Sankaran AU - K. Jayakumar Y1 - 2016/12/05 PY - 2016 N1 - https://doi.org/10.11648/j.ijsd.20160203.12 DO - 10.11648/j.ijsd.20160203.12 T2 - International Journal of Statistical Distributions and Applications JF - International Journal of Statistical Distributions and Applications JO - International Journal of Statistical Distributions and Applications SP - 35 EP - 41 PB - Science Publishing Group SN - 2472-3509 UR - https://doi.org/10.11648/j.ijsd.20160203.12 AB - We introduce a new family of distributions using truncated the Discrete Mittag- Leffler distribution. It can be considered as a generalization of the Marshall-Olkin family of distributions. Some properties of this new family are derived. As a particular case, a three parameter generalization of Uniform distribution is given special attention. The shape properties, moments, distributions of the order statistics, entropies are derived and estimation of the unknown parameters is discussed. An application in autoregressive time series modeling is also included. VL - 2 IS - 3 ER -
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