对于单位指数的罗马克斯分布的推理和量子力回归.
Aisha Fayomi1, Amal S Hassan2, Ehab M Almetwally3,4
1Faculty of Science, Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia.
研究人员引入了单位指数化的洛马克斯分布 (UEL) 来建模零到一之间的数据. 这种新的统计模型在各种应用中显示出前景,包括分析Covid-19数据.
科学领域:
- 概率理论和统计学
- 统计建模 统计建模
背景情况:
- 单位分布通常用于0和1之间的变量.
- 现有的模型可能无法完全捕捉单位间隔数据的复杂性.
研究的目的:
- 提出一种新的统计分布,即单位指数化的洛马克斯分布 (UEL),用于对单位间隔的数据进行建模.
- 调查UEL分布的统计属性和估计方法.
- 为了证明UEL分布的适用性和性能与现有模型相比.
主要方法:
- 该研究详细介绍了UEL分布的统计方面.
- 参数估计是使用贝叶斯式,最大间距积和最大概率方法进行的.
- 估计器的性能通过模拟来评估.
- 该UEL回归模型应用于模拟陪审员和食品支出数据集.
主要成果:
- 导出了UEL分布的统计属性.
- 应用了各种估计技术,并通过模拟评估了它们的有效性.
- 已经证明UEL回归模型是单位-韦布尔,β和线性回归模型的可行替代方案.
- 与其他单位分布相比,UEL模型在Covid-19数据上的表现优越.
结论:
- 单位指数的罗马克斯分布 (UEL) 是一个灵活而有效的新工具,用于模拟单位间隔数据.
- 提出的估计方法是稳健的,UEL模型在实际应用中比现有的分布提供了优势.
- UEL分布显示了分析现实数据的巨大潜力,包括COVID-19等公共卫生数据.
更多相关视频
04:35Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
09:23Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
Published on: August 16, 2017
相关概念视频
Distributions to Estimate Population Parameter
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Quantitative Analysis
In quantitative analysis, two key measurements are made: the sample quantity and a property proportional to the amount of the analyte (the substance being analyzed). This forms the basis of the...
Poisson Probability Distribution
The...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Binomial Probability Distribution
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
