The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications

Fastel Chipepa; Broderick O. Oluyede; Divine Wanduku; Thatayaone Moakofi

doi:10.1007/978-3-030-77169-0_14

The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications

Fastel Chipepa, Broderick O. Oluyede, Divine Wanduku, Thatayaone Moakofi

Mathematical Sciences

Research output: Contribution to book or proceeding › Chapter › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	341-374
Number of pages	34
DOIs	https://doi.org/10.1007/978-3-030-77169-0_14
State	Published - 2022

Publication series

Name	Studies in Systems, Decision and Control
Volume	373
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

Scopus Subject Areas

Computer Science (miscellaneous)
Control and Systems Engineering
Automotive Engineering
Social Sciences (miscellaneous)
Economics, Econometrics and Finance (miscellaneous)
Control and Optimization
Decision Sciences (miscellaneous)

Keywords

Geometric distribution
Half Logistic-G distribution
Maximum likelihood estimation
Poisson distribution
Power series
Topp-Leone-G distribution

Access to Document

10.1007/978-3-030-77169-0_14

Cite this

Chipepa, F., Oluyede, B. O., Wanduku, D., & Moakofi, T. (2022). The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications. In Studies in Systems, Decision and Control (pp. 341-374). (Studies in Systems, Decision and Control; Vol. 373). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-77169-0_14

@inbook{01038ec628bc40629e08b065304ff4a8,

title = "The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications",

abstract = "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.",

keywords = "Geometric distribution, Half Logistic-G distribution, Maximum likelihood estimation, Poisson distribution, Power series, Topp-Leone-G distribution",

author = "Fastel Chipepa and Oluyede, {Broderick O.} and Divine Wanduku and Thatayaone Moakofi",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2022",

doi = "10.1007/978-3-030-77169-0_14",

language = "English",

series = "Studies in Systems, Decision and Control",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "341--374",

booktitle = "Studies in Systems, Decision and Control",

address = "Germany",

}

Chipepa, F, Oluyede, BO, Wanduku, D & Moakofi, T 2022, The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications. in Studies in Systems, Decision and Control. Studies in Systems, Decision and Control, vol. 373, Springer Science and Business Media Deutschland GmbH, pp. 341-374. https://doi.org/10.1007/978-3-030-77169-0_14

The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications. / Chipepa, Fastel; Oluyede, Broderick O.; Wanduku, Divine et al.
Studies in Systems, Decision and Control. Springer Science and Business Media Deutschland GmbH, 2022. p. 341-374 (Studies in Systems, Decision and Control; Vol. 373).

Research output: Contribution to book or proceeding › Chapter › peer-review

TY - CHAP

T1 - The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions

T2 - Model, Properties and Applications

AU - Chipepa, Fastel

AU - Oluyede, Broderick O.

AU - Wanduku, Divine

AU - Moakofi, Thatayaone

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Geometric distribution

KW - Half Logistic-G distribution

KW - Maximum likelihood estimation

KW - Poisson distribution

KW - Power series

KW - Topp-Leone-G distribution

UR - http://www.scopus.com/inward/record.url?scp=85114852155&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-77169-0_14

DO - 10.1007/978-3-030-77169-0_14

M3 - Chapter

T3 - Studies in Systems, Decision and Control

SP - 341

EP - 374

BT - Studies in Systems, Decision and Control

PB - Springer Science and Business Media Deutschland GmbH

ER -

The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications

Abstract

Publication series

Scopus Subject Areas

Keywords

Access to Document

Other files and links

Fingerprint

Cite this