Generalized Inverted Kumaraswamy Distribution: Properties and Application
Generalized Inverted Kumaraswamy Distribution: Properties and Application作者机构：Department of Statistics Government College Gujranwala Pakistan Garrison University Lahore Pakistan Department of Statistics Government College Lahore Pakistan National College of Business Administration and Economics Lahore Pakistan
出 版 物：《Open Journal of Statistics》 (统计学期刊（英文）)
年 卷 期：2017年第7卷第4期
页 面：645-662页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Generalized Inverted Kumaraswamy Distribution Stress-Strength Models Maximum Likelihood Estimation
摘 要：The techniques to find appropriate new models for data sets are very popular nowadays among the researchers of this area where existed models in the literature are not suitable. In this paper, a new distribution, generalized inverted Kumaraswamy (GIKum) distribution is introduced. The main aims of this research are to develop a general form of inverted Kumaraswamy (IKum) distribution which is flexible than the IKum distribution and all of its related and sub models. Some properties of GIKum distribution such as measures of central tendency and dispersion, models of stress-strength, limiting distributions, characterization of GIKum distribution and related probability distributions through some specific transformations are derived. The mathematical expressions of reliability function (r.f) and the hazard rate function (hrf) of the GIKum distribution are found and presented through their graphs. The parameters estimation through the maximum likelihood (ML) estimation method is used and the results are applied to the data set of prices of wooden toys of 31 children.
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