对数-达格姆威布尔分布:性质和表征

IF 4.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Mathematics Pub Date : 2020-09-18 DOI:10.20944/PREPRINTS202009.0428.V1

A. Khadim, A. Saghir, Tassaddaq Hussain

{"title":"对数-达格姆威布尔分布:性质和表征","authors":"A. Khadim, A. Saghir, Tassaddaq Hussain","doi":"10.20944/PREPRINTS202009.0428.V1","DOIUrl":null,"url":null,"abstract":"Developments of new probability models for data analysis are keen interest of importance for all fields. The log-Dagum distribution has a prominent role in the theory and practice of statistics. In this article, a new family of continuous distributions generated from a log Dagum random variable called the log-Dagum Weibull distribution is proposed. The key properties of the proposed distribution are derived. Its density function can be symmetrical, left-skewed, right-skewed and reversed-J shaped and can have increasing, decreasing, bathtub hazard rates shaped. The model parameters are estimated by the method of maximum likelihood and illustrate its importance by means of applications to real data sets.","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"38 1","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2020-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A log-Dagum Weibull Distribution: Properties and Characterization\",\"authors\":\"A. Khadim, A. Saghir, Tassaddaq Hussain\",\"doi\":\"10.20944/PREPRINTS202009.0428.V1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Developments of new probability models for data analysis are keen interest of importance for all fields. The log-Dagum distribution has a prominent role in the theory and practice of statistics. In this article, a new family of continuous distributions generated from a log Dagum random variable called the log-Dagum Weibull distribution is proposed. The key properties of the proposed distribution are derived. Its density function can be symmetrical, left-skewed, right-skewed and reversed-J shaped and can have increasing, decreasing, bathtub hazard rates shaped. The model parameters are estimated by the method of maximum likelihood and illustrate its importance by means of applications to real data sets.\",\"PeriodicalId\":55503,\"journal\":{\"name\":\"Applied and Computational Mathematics\",\"volume\":\"38 1\",\"pages\":\"\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2020-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied and Computational Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.20944/PREPRINTS202009.0428.V1\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied and Computational Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.20944/PREPRINTS202009.0428.V1","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

发展用于数据分析的新的概率模型是各个领域的重要兴趣。对数-达格姆分布在统计学理论和实践中具有重要的作用。本文提出了一种由对数Dagum随机变量生成的连续分布，称为对数-Dagum威布尔分布。推导了该分布的关键性质。其密度函数可以是对称的、左偏的、右偏的和倒j型的，可以是增加的、减少的、浴缸危险率的形状。用极大似然法对模型参数进行了估计，并通过对实际数据集的应用说明了极大似然法的重要性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A log-Dagum Weibull Distribution: Properties and Characterization

Developments of new probability models for data analysis are keen interest of importance for all fields. The log-Dagum distribution has a prominent role in the theory and practice of statistics. In this article, a new family of continuous distributions generated from a log Dagum random variable called the log-Dagum Weibull distribution is proposed. The key properties of the proposed distribution are derived. Its density function can be symmetrical, left-skewed, right-skewed and reversed-J shaped and can have increasing, decreasing, bathtub hazard rates shaped. The model parameters are estimated by the method of maximum likelihood and illustrate its importance by means of applications to real data sets.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied and Computational Mathematics 数学-应用数学

CiteScore

8.80

自引率

5.00%

发文量

审稿时长

6 months

期刊介绍： Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.