The odd log-logistic logarithmic generated family of distributions with applications in different areas

Alizadeh, Morad; MirMostafee, S. M. T. K.; Ortega, Edwin M. M.; Ramires, Thiago G.; Cordeiro, Gauss M.

doi:10.1186/s40488-017-0062-7

Cited by 14 publications

(14 citation statements)

References 30 publications

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“…Odd log-logistic-G family is a new transformation of distribution proposed by Alizadeh et al [39]. The cumulative distribution function…”

Section: Odd Log Logistic G Familymentioning

confidence: 99%

Untitled

2022

J. Stat. Appl. Pro.

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A brief review on transformed-transformer {T-X} generated family of distributions is presented in the recent article. There are many ideas for the development of new family of distributions based on {T-X} family of distribution. The related research work of {T-X} family of distribution is listed and comprehensive reviews are provided. In this article we have discussed some {T-X} family of distributions, T transmuted X family, exponentiated {T-X} family of distributions, some generalized classes of distribution and exponential distribution by using the idea of {T-X} family of distributions, also by using quantile function {T-X} family of distributions. A concise review of {T-X} family is present and also proposed some extended forms of these distributions.

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“…Odd log-logistic-G family is a new transformation of distribution proposed by Alizadeh et al [39]. The cumulative distribution function…”

Section: Odd Log Logistic G Familymentioning

confidence: 99%

Untitled

2022

J. Stat. Appl. Pro.

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“…Various families of distributions have been developed and used in the past to model data in different fields such as finance, economics, engineering, reliability analysis, environmental sciences and medical sciences. Some of the well-known families are the Marshall-Olkin-G by (20), the beta-G by (19), odd log-logistic-G by (3), the transmuted-G by (25), the gamma-G by (28), the Kumaraswamy-G by (14), the logistic-G by (27), exponentiated generalized-G by (15), T-X family by (4), the Weibull-G by (7), the exponentiated half-logistic generated family by (12) and the beta odd log-logistic generalized by (13) to mention just a few. (8) developed a system of cumulative distribution functions which have been widely extended by many researchers to generate more flexible and useful distributions.…”

Section: Introductionmentioning

confidence: 99%

The Exponentiated Half-logistic Odd Burr III-G: Model, Properties and Applications

Oluyede

Peter

Ndwapi

et al. 2022

Pak.j.stat.oper.res.

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A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.

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“…where Π(t) = t α 1+t α is the cdf of log-logistic distribution. Some extension of OLL-G distributions were developed by Alizadeh et.al [2] and Cordeiro et.al [9]. Let Q G (.)…”

Section: Introductionmentioning

confidence: 99%

A New Two-Parameter Lifetime Distribution: Properties, Applications and Different Method of Estimations

Alizadeh¹,

Emadi

Doostparast

2019

Stat., optim. inf. comput.

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In this paper, we introduce a new two-parameter distribution which is called new Odd Log-Logistic Half-Logistic (NOLL-HL) distribution. Theoretical properties of this model including the hazard function, survival function, asymptotic, extreme value, quantile function, moments, conditional moments, mean residual life, mean past lifetime, coefficients of skewness and kurtosis, entropy and order statistics are derived and studied in details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, two real data sets are illustrated the purposes.

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The odd log-logistic logarithmic generated family of distributions with applications in different areas

Cited by 14 publications

References 30 publications

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The Exponentiated Half-logistic Odd Burr III-G: Model, Properties and Applications

A New Two-Parameter Lifetime Distribution: Properties, Applications and Different Method of Estimations

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