Name
Abstract | ||
|---|---|---|
This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entropy to the centre of the parent distribution. This parameter controls skewness without necessarily differentiating tail weights. The GBG class also has tractable properties: we present various expansions for moments, generating function and quantiles. The model parameters are estimated by maximum likelihood and the usefulness of the new class is illustrated by means of some real data sets. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.csda.2011.11.015 | Computational Statistics & Data Analysis |
Keywords | Field | DocType |
exponentiated distribution,maximum likelihood,gbg class,additional shape parameter,new class,model parameter,generalized beta-generated distribution,differentiating tail weight,maximum entropy distribution,classical beta generator skewness,tail entropy,mle,shape parameter,exponential distribution,maximum entropy,distribution,reliability,weibull,beta,estimation,gamma,skewness,entropy,kurtosis,laplace,gumbel,moment generating function,minimax | Econometrics,Generating function,Skewness,Gumbel distribution,Quantile,Shape parameter,Principle of maximum entropy,Statistics,Kurtosis,Mathematics,Maximum entropy probability distribution | Journal |
Volume | Issue | ISSN |
56 | 6 | 0167-9473 |
Citations | PageRank | References |
2 | 0.42 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Carol Alexander | 1 | 3 | 1.75 |
| Gauss M. Cordeiro | 2 | 141 | 32.57 |
| Edwin M. M. Ortega | 3 | 161 | 31.29 |
| José María Sarabia | 4 | 36 | 7.61 |