
Please use this identifier to cite or link to this item:
http://prr.hec.gov.pk/jspui/handle/123456789/11329
Title: | New Generalizations of Power Cauchy Distribution |
Authors: | Zubair, Muhammad |
Keywords: | Statistics |
Issue Date: | 2018 |
Publisher: | Islamia University, Bahawalpur. |
Abstract: | Four new generalizations of power-Cauchy distribution are proposed in this thesis. Firstly, the Poisson-X family is proposed and its important mathematical properties are obtained. Then, a member of the Poisson-X family namely the Poisson power-Cauchy)distributionisdefinedanditsstructuralpropertiesareinvestigated. The proposed model is fitted to three real-life data sets to illustrate its flexibility. Secondly, the log-odd normal generalized family of distributions is introduced. Then, a special model of this family, the log-odd normal power-Cauchy is defined and its mathematical properties are obtained. A real-life data set is used to prove the superiority of the proposed model. Thirdly, the Weibull-Power-Cauchy distribution is proposed and its mathematical properties are obtained. Two useful characterizations based on truncated moments are also presented. The proposed model is applied to three real-life data sets to investigate its flexibility. Lastly, a new extensionofpower-Cauchymodelisproposedbycompoundingthepower-Cauchyand negative-binomial distribution called the power-Cauchy negative-binomial distribution. Some mathematical properties of the proposed model are obtained and the model parameters are estimated using the maximum likelihood method. A simulation study is carried out to investigate the performance of maximum likelihood method. The flexibility of the proposed model is illustrated through three real-life data sets. Then, a new class of regression model is introduced for location and scale based on the logarithm of the proposed random variable and, estimation and inference on the regression coefficients are discussed. |
Gov't Doc #: | 18683 |
URI: | http://prr.hec.gov.pk/jspui/handle/123456789/11329 |
Appears in Collections: | PhD Thesis of All Public / Private Sector Universities / DAIs. |
Files in This Item:
File | Description | Size | Format | |
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th-zubair_19_july_19_Revision-2.pdf | 3.47 MB | Adobe PDF | View/Open |
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