The Marshall-Olkin-Gompertz-G family of distributions: properties and applications

Abstract

We develop a new generalized family of the Gompertz-G distribution, namely, the Marshall-Olkin-Gompertz-G distribution. Statistical properties of the new proposed model are presented. Some special cases of the new family of distributions are presented. Maximum likelihood estimates of the model parameters are also determined. A simulation study was conducted to assess the performance of the maximum likelihood estimates. Applications to demonstrate the usefulness of the Marshall-Olkin-Gompertz-Weibull distribution to real data examples are provided.

The Type II Exponentiated Half Logistic-Gompertz-G Power Series Class of Distributions: Properties and Applications

“…The Gompertz distribution has a monotonically increasing hazard rate function. Some of its recent generalization include the Topp-Leone-Gompertz-G family of distributions by Oluyede et al [19] and the Marshall-Olkin-Gompertz-G family of distributions by Chipepa and Oluyede [11].…”

The Marshall-Olkin-Topp-Leone-Gompertz-G Family of Distributions with Applications

“…The importance of generalizing those distributions is that they provide a better fit than the existing ones in modeling real-life data. Some examples of those generalized distributions include, the Marshall-Olkin-Gompertz-G family of distributions by Chipepa and Oluyede [12], the Marshall-Olkin extended generalized Gompertz distribution by Lazhar [23], Topp-Leone Gompertz distribution by Nzei et al [29] and the Gompertz-G family of distributions by Alizadeh et al [2]. Some Topp-Leone generalizations in the literature including the Marshall-Olkin Topp-Leone half-logistic-G family of distributions by Sengweni et al [33], Topp-Leone odd Burr III-G family of distributions by Moakofi et al [28] and Topp-Leone odd Burr X-G Family of distributions by Oluyede et al [31].…”

Marshall-Olkin-Type II-Topp-Leone-G Family of Distributions: Model, Properties and Applications

“…Generalizations of the Marshall-Olkin distribution include Kumaraswamy Marshall-Olkin-G by Alizadeh et al [5], Beta Marshall-Olkin-G by Alizadeh et al [4], Marshall-Olkin Log-logistic Extended Weibull by Lepetu et al [16], Marshall-Olkin-Extended Burr Type III distribution by Kumar et al [15], Marshall-Olkin Log-logistic Erlang-Truncated Exponential by Oluyede et al [22] and Marshall-Olkin-Gompertz-G by Chipepa and Oluyede [12] to name a few.…”