Normal-tangent-logarithm-(G_1,G_2 ): a class of probabilistic distributions depending on two baselines

IF 0.6 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Acta Scientiarum-technology Pub Date : 2023-04-28 DOI:10.4025/actascitechnol.v45i1.61519
Natália Moraes Cordeiro, Frank Gomes-Silva, C. Brito, J. Jale, J. Vasconcelos
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Abstract

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.
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正切对数-(G_1,G_2):一类依赖于两条基线的概率分布
在正态分布的基础上,利用单调函数和,提出了一种新的连续分布生成器,以和为基线。研究了该类的可辨识性,并给出了该类的累积分布函数和概率密度函数的级数展开式。此外,还讨论了该类的一些数学性质,即原始矩、中心矩、矩生成函数、特征函数、对数似然函数的导数,并研究了支持度。给出了一个数值分析,包括模拟研究和实际数据的应用。将该模型与其他已知模型进行比较,证明了该模型的潜力和建模优势。
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来源期刊
Acta Scientiarum-technology
Acta Scientiarum-technology 综合性期刊-综合性期刊
CiteScore
1.40
自引率
12.50%
发文量
60
审稿时长
6-12 weeks
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.
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