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Some new generalized distributions with applications

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dc.contributor.supervisor Oluyede, Broderick
dc.contributor.supervisor Makubate, Boikanyo
dc.contributor.author Rannona, Ketlhamile
dc.date.accessioned 2023-02-03T08:38:15Z
dc.date.available 2023-02-03T08:38:15Z
dc.date.issued 2021-09-20
dc.identifier.citation Rannona, K. (2021) Some new generalized 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/123456789/531
dc.description.abstract New generalized distributions namely Topp-Leone-G Power Series class of distributions, Marshall-Olkin-Exponentiated Odd Exponential Half Logistic-G family of distributions, Exponentiated Odd Exponential Half Logistic-G Power Series class of distributions and Marshall-Olkin-Type II-Topp-Leone-G family of distributions are presented. Properties of these generalized distributions including series expansion of density functions, hazard functions, quantile functions, moments, conditional moments, mean deviations, Bonferroni and Lorenz curves, Renyi entropy and distribution of order statistics are discussed. ´ The maximum likelihood estimates of the model parameters are given and simulation studies are performed to assess the consistency of the model parameters. Real data sets are used on the presented models to illustrate their usefulness in comparison to some non-nested distributions. en_US
dc.language.iso en en_US
dc.publisher Botswana International University of Science and Technology (BIUST) en_US
dc.subject Topp-Leone-G Power Series en_US
dc.subject Marshall-Olkin-Type II-Topp-Leone-G en_US
dc.subject Series expansion of density functions en_US
dc.subject Hazard functions en_US
dc.subject Quantile functions en_US
dc.subject Moments en_US
dc.subject Mean deviations en_US
dc.subject Bonferroni and Lorenz curves en_US
dc.subject Renyi entropy en_US
dc.subject Distribution of order statistics en_US
dc.title Some new generalized distributions with applications en_US
dc.description.level msc en_US
dc.dc.description Thesis (MSc of Science in Statistics)--Botswana International University of Science and Technology, 2021
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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