The The Topp Leone-G Power Series Class of Distributions with Applications | Zendy

Fastel Chipepa | Zendy; Boikanyo Makubate | Zendy; Broderick O. Oluyede | Zendy; Kethamile Rana | Zendy

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The The Topp Leone-G Power Series Class of Distributions with Applications

Author(s) -

Fastel Chipepa,

Boikanyo Makubate,

Broderick O. Oluyede,

Kethamile Rana

Publication year - 2021

Publication title -

pakistan journal of statistics and operation research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.354

H-Index - 15

eISSN - 2220-5810

pISSN - 1816-2711

DOI - 10.18187/pjsor.v17i4.3636

Subject(s) - mathematics , statistics , poisson distribution , series (stratigraphy) , distribution (mathematics) , class (philosophy) , mathematical analysis , artificial intelligence , computer science , paleontology , biology

We present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical prop- erties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution to assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poisson distribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions.

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