Natália Moraes Cordeiro, Frank Gomes-Silva, C. Brito, J. Jale, J. Vasconcelos
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Normal-tangent-logarithm-(G_1,G_2 ): a class of probabilistic distributions depending on two baselines
Based on the normal distribution, a new generator of continuous distributions is presented using the monotonic functions and , such that and are the baselines. A study of identifiability of the proposed class is exhibited as well as the series expansions for its cumulative distribution function and probability density function. Additionally, some mathematical properties of the class are discussed, namely, the raw moments, the central moments, the moment generating function, the characteristic function, the derivatives of the log-likelihood function, and a study of the support. A numerical analysis comprising a simulation study and an application to real data is presented. Comparisons between the proposed model and other well-known models evince its potentialities and modeling benefits.
期刊介绍:
The journal publishes original articles in all areas of Technology, including: Engineerings, Physics, Chemistry, Mathematics, Statistics, Geosciences and Computation Sciences.
To establish the public inscription of knowledge and its preservation; To publish results of research comprising ideas and new scientific suggestions; To publicize worldwide information and knowledge produced by the scientific community; To speech the process of scientific communication in Technology.