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Some mew and generalized families of probability distributions with applications

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dc.contributor.supervisor Oluyede, Broderick
dc.contributor.supervisor Makubate, Boikanyo
dc.contributor.author Sengweni, Whatmore
dc.date.accessioned 2022-04-21T14:09:10Z
dc.date.available 2022-04-21T14:09:10Z
dc.date.issued 2020-12
dc.identifier.citation Sengweni, W. (2021) Some mew and generalized families of probability distributions with applications, Master's Thesis, Botswana International University of Science and Technology: Palapye. en_US
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/424
dc.description Thesis (Msc Mathematics and Statistics Sciences) --Botswana International University of Science and Technology, 2020 en_US
dc.description.abstract Some new generalized distributions called the new Gamma Lindley-Log-logistic (GLLLoG) distribution, new Weibull Generalised-G (NWG-G) family of distributions and the Exponentiated Half-Logistic Odd Lindley-G family of distributions are proposed and presented. These distributions contain several distributions such as Half-Logistic, Odd Lindley, Lindley, Log-Logistic, new-Rayleigh generalized-G, new exponential generalized-G, new Rayleigh-G and the new-Weibull-G family of distributions. A comprehensive investigation of the properties of these generalized distributions including series expansion of pdfs, cdfs, moments, hazard functions, quantile functions, moments, conditional moments, mean deviations, Bonferroni and Lorenz curves, Renyi entropy and ´ distribution of order statistics are presented. Model parameters are estimated using maximum likelihood estimation technique and real datasets are used to illustrate the potentiality of the three new generalized distributions compared with other distributions. en_US
dc.language.iso en en_US
dc.publisher Botswana International University of Science and Technology en_US
dc.subject Generalized Distributions en_US
dc.subject Generalized-G Distribution en_US
dc.subject Exponentiated distribution en_US
dc.subject Odd Lindley en_US
dc.subject Half Logistic en_US
dc.subject Gamma Distribution en_US
dc.subject Lindley distribution en_US
dc.subject New Weibull Distribution en_US
dc.subject New Weibull Distribution en_US
dc.subject Log-logistic distribution en_US
dc.subject Maximum likelihood estimation en_US
dc.subject Order Statistics en_US
dc.subject Moments. en_US
dc.title Some mew and generalized families of probability distributions with applications en_US
dc.description.level msc en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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