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On the Generation of New Generalized Families and Classes of Lifetime Distributions with Applications

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dc.contributor.supervisor Oluyede, Broderick
dc.contributor.author Gabanakgosi, Morongwa
dc.date.accessioned 2025-09-11T13:44:16Z
dc.date.available 2025-09-11T13:44:16Z
dc.date.issued 2024-02-19
dc.identifier.citation Gabanakgosi,M. (2024) On the Generation of New Generalized Families and Classes of Lifetime Distributions with Applications, Botswana, Master’s thesis, Botswana International University of Science and Technology: Palapye en_US
dc.identifier.uri https://repository.biust.ac.bw/handle/123456789/665
dc.description Thesis (PhD of Mathematics and Statistical sciences)---Botswana International University of Science and Technology, 2024 en_US
dc.description.abstract This thesis is concerned with the construction and development of new families of distribu- tions including the Topp-Leone type II exponentiated half logistic-G family of distributions, the Topp-Leone exponentiated half logistic generalized-G family of distributions, the Topp-Leone-Gompertz-G power series class of distributions, the Marshall-Olkin-Topp-Leone-Gompertz-G family of distributions and the gamma odd power generalized Weibull-G family of distributions. Some mathematical and statistical properties of the new families of distributions are explored. The statistical properties studied include the expansion of the density function, hazard rate function and quantile function, moments, probability weighted moments, stochastic ordering, distribution of the order statistics and R´enyi entropy. The maximum likelihood technique is employed in the estimation of model parameters and Monte Carlo simulations are conducted to examine the consistency of the estimates considering average bias and root mean square errors. Applications using data sets from various disciplines are presented to demonstrate the importance and the applicability of these new families of distributions. en_US
dc.publisher Botswana International University of Science and Technology (BIUST) en_US
dc.subject Topp-Leone type II exponentiated half logistic-G en_US
dc.subject Topp-Leone Exponentiated half logistic generalized- G en_US
dc.subject Topp-Leone-Gompertz-G power series en_US
dc.subject Marshall-Olkin-Topp-Leone-Gompertz-G en_US
dc.subject Gamma odd power generalized Weibull-G en_US
dc.subject Mathematical and Statistical properties en_US
dc.subject Maximum likelihood technique en_US
dc.subject Monte Carlo simulations en_US
dc.subject Applications en_US
dc.subject Data sets en_US
dc.title On the Generation of New Generalized Families and Classes of Lifetime Distributions with Applications en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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