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

Boikanyo Makubate; Kethamile Rannona; Broderick Oluyede; Fastel Chipepa

doi:10.18187/pjsor.v17i4.3636

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

Boikanyo Makubate, Kethamile Rannona, Broderick Oluyede, Fastel Chipepa

Research output: Contribution to journal › Article › peer-review

Abstract

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 propertiesof the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model wereobtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distributionto assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poissondistribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions

Original language	English
Pages (from-to)	827-846
Number of pages	20
Journal	Pakistan Journal of Statistics and Operation Research
Volume	17
Issue number	4
DOIs	https://doi.org/10.18187/pjsor.v17i4.3636
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modelling and Simulation
Statistics, Probability and Uncertainty
Management Science and Operations Research

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10.18187/pjsor.v17i4.3636

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title = "The Topp Leone-G Power Series Class of Distributions with Applications",

abstract = "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 propertiesof the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model wereobtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distributionto assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poissondistribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions",

author = "Boikanyo Makubate and Kethamile Rannona and Broderick Oluyede and Fastel Chipepa",

year = "2021",

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language = "English",

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AU - Makubate, Boikanyo

AU - Rannona, Kethamile

AU - Oluyede, Broderick

AU - Chipepa, Fastel

PY - 2021

Y1 - 2021

N2 - 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 propertiesof the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model wereobtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distributionto assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poissondistribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions

AB - 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 propertiesof the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model wereobtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distributionto assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poissondistribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions

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M3 - Article

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SN - 1816-2711

VL - 17

SP - 827

EP - 846

JO - Pakistan Journal of Statistics and Operation Research

JF - Pakistan Journal of Statistics and Operation Research

IS - 4

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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