A New Discrete Family of Reduced Modified Weibull Distribution
International Journal of Statistical Distributions and Applications
Volume 3, Issue 3, September 2017, Pages: 25-31
Received: Aug. 16, 2017; Accepted: Aug. 31, 2017; Published: Oct. 26, 2017
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Authors
Ademola Lateef Oloko, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
Osebekwin Ebenezer Asiribo, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
Ganiyu Abayomi Dawodu, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
Mathew Omonigho Omeike, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
Nurudeen Ayobami Ajadi, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
Abayomi Olumuyiwa Ajayi, Department of Statistics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Ogun, Nigeria
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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.
Keywords
Weibull, TDL, DRMW, EDW, MDRMW
To cite this article
Ademola Lateef Oloko, Osebekwin Ebenezer Asiribo, Ganiyu Abayomi Dawodu, Mathew Omonigho Omeike, Nurudeen Ayobami Ajadi, Abayomi Olumuyiwa Ajayi, A New Discrete Family of Reduced Modified Weibull Distribution, International Journal of Statistical Distributions and Applications. Vol. 3, No. 3, 2017, pp. 25-31. doi: 10.11648/j.ijsd.20170303.11
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Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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