Characterization of Bivariate Generalized Logistic Family of Distributions Through Conditional Specification

Indranil Ghosh; N. Balakrishnan

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Characterization of Bivariate Generalized Logistic Family of Distributions Through Conditional Specification

机译：通过条件规范表征二元广义Logistic分布族

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摘要

The univariate logistic distribution and its properties and applications have been studied quite extensively in the literature. Some generalizations as well as multivariate extensions of it have also been proposed for greater flexibility in modeling univariate and multivariate data. In this paper, we construct three different types of generalized bivariate logistic type distributions through conditional specification, and discuss some of their properties. Finally, we use a data set to fit the proposed models for the purpose of illustration.

机译：单变量逻辑分布及其性质和应用已在文献中进行了广泛的研究。为了在单变量和多变量数据建模中具有更大的灵活性，还提出了一些概括及其多变量扩展。在本文中，我们通过条件规范构造了三种不同类型的广义双变量逻辑类型分布，并讨论了它们的一些特性。最后，出于说明目的，我们使用数据集来拟合建议的模型。

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来源
《The Indian Journal of Statistics》 |2017年第1期|170-186|共17页
作者
Indranil Ghosh; N. Balakrishnan;
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作者单位

University of North Carolina Wilmington USA;

McMaster University Hamilton Canada;

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原文格式 PDF
正文语种 eng
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关键词
Generalized logistic distributions; Generalized bivariate logistic distributions; Conditional specification; TP_2 property; Uni-modality; Likelihood inference;

机译：广义逻辑分布广义双变量逻辑分布;有条件的规范;TP_2属性;统一模式;可能性推断;

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1. Partial or complete characterization of a bivariate distribution based on one conditional distribution and partial specification of the mode function of the other conditional distribution [J] . Indranil Ghosh, N. Balakrishnan Statistical Methodology . 2014,第jana期

机译：基于一个条件分布和另一条件分布的众函数的部分说明，对二元分布进行部分或完全表征
2. Bivariate distributions characterized by one family of conditionals and conditional percentile or mode functions [J] . Arnold BC, Castillo E, Sarabia JM Journal of Multivariate Analysis: An International Journal . 2008,第7期

机译：以一类条件和条件百分位数或众数函数为特征的双变量分布
3. Alternative approaches to conditional specification of bivariate distributions [J] . Barry C. Arnold, Ramesh C. Gupta Metron . 2016,第1期

机译：二元分布条件指定的替代方法
4. DICE: A New Family of Bivariate Estimation of Distribution Algorithms Based on Dichotomised Multivariate Gaussian Distributions [C] . Fergal Lane, R. Muhammad Atif Azad, Conor Ryan European conference on applications of evolutionary computation . 2017

机译：DICE：基于二元多元高斯分布的分布算法的新双变量估计族
5. Analysis of environmental pollutant data using generalized log-logistic distribution. [D] . Warsono. 1996

机译：使用广义对数逻辑分布分析环境污染物数据。
6. Technology-enhanced Interactive Teaching of Marginal Joint and Conditional Probabilities: The Special Case of Bivariate Normal Distribution [O] . Ivo D. Dinov, Scott Kamino, Bilal Bhakhrani, -1

机译：技术增强的边际联合和条件概率交互式教学：双变量正态分布的特例
7. The Topp-Leone generalized odd log-logistic family of distributions: properties, characterizations and applications [O] . M. Ç. Korkmaz, H. M. Yousof, M. Alizadeh, 2019

机译：TopP-Leone广泛性奇数日志逻辑族分布：属性，特征和应用程序

Characterization of Bivariate Generalized Logistic Family of Distributions Through Conditional Specification

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