直方图
连接词(语言学)
数学
似然函数
统计的
多元统计
主成分分析
统计
计算机科学
计量经济学
数据挖掘
人工智能
估计理论
图像(数学)
作者
Honghe Jin,Lynne Billard
标识
DOI:10.1080/10618600.2022.2107535
摘要
Histogram-valued data are emerging increasingly often as a consequence of the aggregation of large datasets. One statistic that underpins many methodologies especially regression and principal component analyses is the covariance function. To date, no method exists for calculating these functions directly from the marginal histogram observations. This article develops techniques through copula functions to develop a parametric distribution for multivariate histogram-valued data. In particular, maximum likelihood, inference function for margins, and canonical maximum likelihood estimation methods are proposed. A numerical study helps to ascertain which copulas are best to use in various cases, and thence to calculate the covariances. The results are applied to a real dataset.
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