Discretization of continuous lifetime distribution is an interesting and intuitively appealing approach to derive a discrete lifetime model. This study derived a discretized form of Reduced Modified Weibull distribution known as the Marshall-Olkin Discrete Reduced Modified Weibull (MDRMW) distribution. The mathematical and statistical properties of MDRMW distribution were derived and compared with existing distributions of Discrete Reduced Modified Weibull distribution (DRMW), Exponentiated Discrete Weibull distribution (EDW) and Two Parameters Discrete Lindley distribution (TDL). Maximum likelihood method was used to derive the statistics of MDRMW parameters. The Aarset Reliability dataset was fitted for the existing and derived distribution and AIC and Kolmogorov Smirrnoff (KS) were compared. The shape of MDRMW distribution was unimodal and monotonic decreasing. The plot of hazard rate function could be decreasing or bath-tub. The AIC and KS values of Aarset reliability data analysis were 483.9 and 0.17579; 507.8 and 0.24435; 485.2 and 0.17897 for MDRMW, DRMW and TDL respectively. The AIC and KS values of Leukemia survival data analysis were 668.2 and 0.11053; 751.9 and 0.39285 respectively. The Aarset reliability data analysis showed that MDRMW compared favorably with existing distributions. The MDRMW and DRMW handled Leukemia survival data set as against EDW and TDL. The values of AIC and KS for MDRMW were lower than DRMW, EDW and TDL. This showed that MDRMW was better than the existing distributions.
| Published in | International Journal of Statistical Distributions and Applications (Volume 3, Issue 3) |
| DOI | 10.11648/j.ijsd.20170303.11 |
| Page(s) | 25-31 |
| 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), 2017. Published by Science Publishing Group |
Weibull, TDL, DRMW, EDW, MDRMW
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APA Style
Ademola Lateef Oloko, Osebekwin Ebenezer Asiribo, Ganiyu Abayomi Dawodu, Mathew Omonigho Omeike, Nurudeen Ayobami Ajadi, et al. (2017). A New Discrete Family of Reduced Modified Weibull Distribution. International Journal of Statistical Distributions and Applications, 3(3), 25-31. https://doi.org/10.11648/j.ijsd.20170303.11
ACS Style
Ademola Lateef Oloko; Osebekwin Ebenezer Asiribo; Ganiyu Abayomi Dawodu; Mathew Omonigho Omeike; Nurudeen Ayobami Ajadi, et al. A New Discrete Family of Reduced Modified Weibull Distribution. Int. J. Stat. Distrib. Appl. 2017, 3(3), 25-31. doi: 10.11648/j.ijsd.20170303.11
AMA Style
Ademola Lateef Oloko, Osebekwin Ebenezer Asiribo, Ganiyu Abayomi Dawodu, Mathew Omonigho Omeike, Nurudeen Ayobami Ajadi, et al. A New Discrete Family of Reduced Modified Weibull Distribution. Int J Stat Distrib Appl. 2017;3(3):25-31. doi: 10.11648/j.ijsd.20170303.11
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author = {Ademola Lateef Oloko and Osebekwin Ebenezer Asiribo and Ganiyu Abayomi Dawodu and Mathew Omonigho Omeike and Nurudeen Ayobami Ajadi and Abayomi Olumuyiwa Ajayi},
title = {A New Discrete Family of Reduced Modified Weibull Distribution},
journal = {International Journal of Statistical Distributions and Applications},
volume = {3},
number = {3},
pages = {25-31},
doi = {10.11648/j.ijsd.20170303.11},
url = {https://doi.org/10.11648/j.ijsd.20170303.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20170303.11},
abstract = {Discretization of continuous lifetime distribution is an interesting and intuitively appealing approach to derive a discrete lifetime model. This study derived a discretized form of Reduced Modified Weibull distribution known as the Marshall-Olkin Discrete Reduced Modified Weibull (MDRMW) distribution. The mathematical and statistical properties of MDRMW distribution were derived and compared with existing distributions of Discrete Reduced Modified Weibull distribution (DRMW), Exponentiated Discrete Weibull distribution (EDW) and Two Parameters Discrete Lindley distribution (TDL). Maximum likelihood method was used to derive the statistics of MDRMW parameters. The Aarset Reliability dataset was fitted for the existing and derived distribution and AIC and Kolmogorov Smirrnoff (KS) were compared. The shape of MDRMW distribution was unimodal and monotonic decreasing. The plot of hazard rate function could be decreasing or bath-tub. The AIC and KS values of Aarset reliability data analysis were 483.9 and 0.17579; 507.8 and 0.24435; 485.2 and 0.17897 for MDRMW, DRMW and TDL respectively. The AIC and KS values of Leukemia survival data analysis were 668.2 and 0.11053; 751.9 and 0.39285 respectively. The Aarset reliability data analysis showed that MDRMW compared favorably with existing distributions. The MDRMW and DRMW handled Leukemia survival data set as against EDW and TDL. The values of AIC and KS for MDRMW were lower than DRMW, EDW and TDL. This showed that MDRMW was better than the existing distributions.},
year = {2017}
}
TY - JOUR T1 - A New Discrete Family of Reduced Modified Weibull Distribution AU - Ademola Lateef Oloko AU - Osebekwin Ebenezer Asiribo AU - Ganiyu Abayomi Dawodu AU - Mathew Omonigho Omeike AU - Nurudeen Ayobami Ajadi AU - Abayomi Olumuyiwa Ajayi Y1 - 2017/10/26 PY - 2017 N1 - https://doi.org/10.11648/j.ijsd.20170303.11 DO - 10.11648/j.ijsd.20170303.11 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 - 25 EP - 31 PB - Science Publishing Group SN - 2472-3509 UR - https://doi.org/10.11648/j.ijsd.20170303.11 AB - Discretization of continuous lifetime distribution is an interesting and intuitively appealing approach to derive a discrete lifetime model. This study derived a discretized form of Reduced Modified Weibull distribution known as the Marshall-Olkin Discrete Reduced Modified Weibull (MDRMW) distribution. The mathematical and statistical properties of MDRMW distribution were derived and compared with existing distributions of Discrete Reduced Modified Weibull distribution (DRMW), Exponentiated Discrete Weibull distribution (EDW) and Two Parameters Discrete Lindley distribution (TDL). Maximum likelihood method was used to derive the statistics of MDRMW parameters. The Aarset Reliability dataset was fitted for the existing and derived distribution and AIC and Kolmogorov Smirrnoff (KS) were compared. The shape of MDRMW distribution was unimodal and monotonic decreasing. The plot of hazard rate function could be decreasing or bath-tub. The AIC and KS values of Aarset reliability data analysis were 483.9 and 0.17579; 507.8 and 0.24435; 485.2 and 0.17897 for MDRMW, DRMW and TDL respectively. The AIC and KS values of Leukemia survival data analysis were 668.2 and 0.11053; 751.9 and 0.39285 respectively. The Aarset reliability data analysis showed that MDRMW compared favorably with existing distributions. The MDRMW and DRMW handled Leukemia survival data set as against EDW and TDL. The values of AIC and KS for MDRMW were lower than DRMW, EDW and TDL. This showed that MDRMW was better than the existing distributions. VL - 3 IS - 3 ER -
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