Geometric generated family of distributions: A review

2021 ◽  
Vol 35 (3) ◽  
Author(s):  
Teena Goyal ◽  
Sandeep Kumar Maurya ◽  
Saralees Nadarajah
Keyword(s):  
Generated Family ◽  
Family Of Distributions

The type II Topp-Leone generated family of distributions : Properties and applications

2018 ◽  
Vol 21 (8) ◽  
pp. 1529-1551 ◽  
Author(s):  
M. Elgarhy ◽  
M. Arslan Nasir ◽  
Farrukh Jamal ◽  
Gamze Ozel
Keyword(s):  
Type Ii ◽  
Generated Family ◽  
Family Of Distributions

A New-Flexible Generated Family of Distributions Based on Half-Logistic Distribution

2020 ◽  
Vol 17 (11) ◽  
pp. 4813-4818
Author(s):  
Sanaa Al-Marzouki ◽  
Sharifah Alrajhi
Keyword(s):  
Logistic Model ◽  
Real Data ◽  
Likelihood Method ◽  
Logistic Distribution ◽  
Data Set ◽  
New Family ◽  
Probability Weighted Moment ◽  
The Subject ◽  
Generated Family ◽  
Family Of Distributions

We proposed a new family of distributions from a half logistic model called the generalized odd half logistic family. We expressed its density function as a linear combination of exponentiated densities. We calculate some statistical properties as the moments, probability weighted moment, quantile and order statistics. Two new special models are mentioned. We study the estimation of the parameters for the odd generalized half logistic exponential and the odd generalized half logistic Rayleigh models by using maximum likelihood method. One real data set is assesed to illustrate the usefulness of the subject family.

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

2017 ◽  
Vol 4 (1) ◽  
Author(s):  
Morad Alizadeh ◽  
S. M. T. K. MirMostafee ◽  
Edwin M. M. Ortega ◽  
Thiago G. Ramires ◽  
Gauss M. Cordeiro
Keyword(s):  
Generated Family ◽  
Family Of Distributions

scholarly journals The Generalized Additive Weibull-G Family of Distributions

2017 ◽  
Vol 6 (5) ◽  
pp. 65 ◽  
Author(s):  
Amal S. Hassan ◽  
Saeed E. Hemeda ◽  
Sudhansu S. Maiti ◽  
Sukanta Pramanik
Keyword(s):  
Maximum Likelihood Method ◽  
Real Data ◽  
Random Variable ◽  
Likelihood Method ◽  
Parameter Estimates ◽  
Data Sets ◽  
New Family ◽  
The Family ◽  
Generated Family ◽  
Family Of Distributions

In this paper, we present a new family, depending on additive Weibull random variable as a generator, called the generalized additive Weibull generated-family (GAW-G) of distributions with two extra parameters. The proposed family involves several of the most famous classical distributions as well as the new generalized Weibull-G family which already accomplished by Cordeiro et al. (2015). Four special models are displayed. The expressions for the incomplete and ordinary moments, quantile, order statistics, mean deviations, Lorenz and Benferroni curves are derived. Maximum likelihood method of estimation is employed to obtain the parameter estimates of the family. The simulation study of the new models is conducted. The efficiency and importance of the new generated family is examined through real data sets.

scholarly journals The Weibull Topp-Leone Generated Family of Distributions: Statistical Properties and Applications

2020 ◽  
Vol 19 (1) ◽  
pp. 121-161 ◽  
Author(s):  
Hamid Karamikabir ◽  
Mahmoud Afshari ◽  
Haitham M. Yousof ◽  
Morad Alizadeh ◽  
Gholamhossien Hamedani ◽  
...  
Keyword(s):  
Statistical Properties ◽  
Generated Family ◽  
Family Of Distributions

scholarly journals Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications

Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1089 ◽  
Author(s):  
Rashad A. R. Bantan ◽  
Farrukh Jamal ◽  
Christophe Chesneau ◽  
Mohammed Elgarhy
Keyword(s):  
Rate Function ◽  
Parametric Models ◽  
Likelihood Method ◽  
Model Parameters ◽  
Data Sets ◽  
Full Generality ◽  
Kumaraswamy Distribution ◽  
New Family ◽  
Generated Family ◽  
Family Of Distributions

In this article, we introduce a new general family of distributions derived to the truncated inverted Kumaraswamy distribution (on the unit interval), called the truncated inverted Kumaraswamy generated family. Among its qualities, it is characterized with tractable functions, has the ability to enhance the flexibility of a given distribution, and demonstrates nice statistical properties, including competitive fits for various kinds of data. A particular focus is given on a special member of the family defined with the exponential distribution as baseline, offering a new three-parameter lifetime distribution. This new distribution has the advantage of having a hazard rate function allowing monotonically increasing, decreasing, and upside-down bathtub shapes. In full generality, important properties of the new family are determined, with an emphasis on the entropy (Rényi and Shannon entropy). The estimation of the model parameters is established by the maximum likelihood method. A numerical simulation study illustrates the nice performance of the obtained estimates. Two practical data sets are then analyzed. We thus prove the potential of the new model in terms of fitting, with favorable results in comparison to other modern parametric models of the literature.

Topp–Leone generated family of distributions: Properties and applications

2016 ◽  
Vol 46 (6) ◽  
pp. 2893-2909 ◽  
Author(s):  
Sadegh Rezaei ◽  
Behnam Bahrami Sadr ◽  
Morad Alizadeh ◽  
Saralees Nadarajah
Keyword(s):  
Generated Family ◽  
Family Of Distributions
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