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Some New Transformed and Generalized Families of Distributions with Applications

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dc.contributor.supervisor Oluyede, Broderick
dc.contributor.supervisor Chipepa, Fastel
dc.contributor.author Dingalo, Neo
dc.date.accessioned 2025-09-11T13:39:12Z
dc.date.available 2025-09-11T13:39:12Z
dc.date.issued 2024-04-17
dc.identifier.citation Dingalo,N (2024) Some New Transformed and Generalized Families of Distributions with Applications, Botswana, PhD’s thesis, Botswana International University of Science and Technology: Palapye. en_US
dc.identifier.uri https://repository.biust.ac.bw/handle/123456789/664
dc.description Thesis (PhD of Mathematics and Statistical sciences)---Botswana International University of Science and Technology, 2023 en_US
dc.description.abstract This thesis presents several new generalized classes and families of distributions, namely, the log-logistic modified Weibull power series (LLoGMWPS) class of distributions, type II Topp-Leone exponentiated half logistic-G power series (TII-TL-EHL-GPS) class of distributions, Harris-odd Burr type X-G (Harris-OBX-G) family of distributions, Marshall-Olkin Exponentiated Half Logistic-Type II Topp-Leone-G (MO-EHL-TII-TL-G) family of distributions, and Topp-Leone Harris-G (TL-Harris-G) family of distributions. These classes and families of distributions are developed using different combinations of generators and existing distributions. The mathematical and statistical properties of these new classes and families of distributions, including moments and moment generating functions, distribution of order statistics, probability weighted moments, and R´enyi entropy, are derived and thoroughly examined. Additionally, the identifiability issue, concerning whether the parameters of the proposed models can be uniquely determined from observed data is investigated using mathematical functions for each class of distributions and family of distributions. Finally, the flexibility and applicability of these new classes and families of distributions are demonstrated by fitting them to various real datasets. Several goodness-of-ft statistics and graphical plots are utilized to assess the adequacy of the models in capturing the complex characteristics of datasets across different domains. en_US
dc.subject Generators en_US
dc.subject Exponentiated-G Generator en_US
dc.subject Half-Logistic-G en_US
dc.subject Topp-Leone-G en_US
dc.subject Burr-X en_US
dc.subject Gamma-G Type en_US
dc.subject Harris-G en_US
dc.subject Marshall-Olkin-G en_US
dc.subject The Log-Logistic Modified Weibull Power Series en_US
dc.title Some New Transformed and Generalized Families of 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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