The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications
We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood esti...
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| Format: | book part |
| Language: | English |
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Springer, Cham
2022
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| Online Access: | https://cris.library.msu.ac.zw//handle/11408/5235 https://doi.org/10.1007/978-3-030-77169-0_14 |
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| _version_ | 1779905648264216576 |
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| author | Fastel Chipepa Broderick Oluyede Divine Wanduku Thatayaone Moakofi |
| author2 | Midlands State University |
| author_facet | Midlands State University Fastel Chipepa Broderick Oluyede Divine Wanduku Thatayaone Moakofi |
| author_sort | Fastel Chipepa |
| collection | DSpace |
| description | We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood estimates. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. We also present two real data examples to illustrate the applicability of the new class of distributions. The proposed model performs better than several non-nested models on selected data sets. |
| format | book part |
| id | ir-11408-5235 |
| institution | My University |
| language | English |
| publishDate | 2022 |
| publisher | Springer, Cham |
| record_format | dspace |
| spelling | ir-11408-52352022-11-24T15:01:04Z The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications Fastel Chipepa Broderick Oluyede Divine Wanduku Thatayaone Moakofi Midlands State University Botswana International University of Science and Technology Georgia Southern University, Statesboro, Georgia Botswana International University of Science and Technology Topp-Leone-G distribution Half Logistic-G distribution Power series Poisson distribution Geometric distribution Maximum likelihood estimation We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood estimates. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. We also present two real data examples to illustrate the applicability of the new class of distributions. The proposed model performs better than several non-nested models on selected data sets. 341 374 2022-11-24T15:01:03Z 2022-11-24T15:01:03Z 2021-08-27 book part https://cris.library.msu.ac.zw//handle/11408/5235 https://doi.org/10.1007/978-3-030-77169-0_14 en Studies in Systems, Decision and Control book series Methods of Mathematical Modelling and Computation for Complex Systems 978-3-030-77169-0 open Springer, Cham |
| spellingShingle | Topp-Leone-G distribution Half Logistic-G distribution Power series Poisson distribution Geometric distribution Maximum likelihood estimation Fastel Chipepa Broderick Oluyede Divine Wanduku Thatayaone Moakofi The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title | The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title_full | The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title_fullStr | The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title_full_unstemmed | The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title_short | The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications |
| title_sort | exponentiated half logistic-topp-leone-g power series class of distributions: model, properties and applications |
| topic | Topp-Leone-G distribution Half Logistic-G distribution Power series Poisson distribution Geometric distribution Maximum likelihood estimation |
| url | https://cris.library.msu.ac.zw//handle/11408/5235 https://doi.org/10.1007/978-3-030-77169-0_14 |
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