A New Class of Distributions Generated by the Extended Bimodal-Normal Distribution

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-11-01 DOI:10.1155/2018/9753439

M. A. Cortés, David Elal-Olivero, Juan F. Olivares-Pacheco

引用次数: 5

Abstract

In this study, we present a new family of distributions through generalization of the extended bimodal-normal distribution. This family includes several special cases, like the normal, Birnbaum-Saunders, Student’s t, and Laplace distribution, that are developed and defined using stochastic representation. The theoretical properties are derived, and easily implemented Monte Carlo simulation schemes are presented. An inferential study is performed for the Laplace distribution. We end with an illustration of two real data sets.

查看原文本刊更多论文

由扩展双峰正态分布生成的一类新分布

在这项研究中，我们通过推广双峰正态分布，提出了一个新的分布族。该族包括几个特殊情况，如正态分布、Birnbaum-Saunders分布、Student t分布和拉普拉斯分布，这些情况是使用随机表示法开发和定义的。推导了其理论性质，并给出了易于实现的蒙特卡罗模拟方案。对拉普拉斯分布进行了推理研究。最后，我们以两个真实数据集为例进行说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.