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A Review: Construction of Statistical Distributions
by
Lin, Yu-Xuan
, Fang, Kai-Tai
, Deng, Yu-Hui
in
construction of statistical distribution
/ distribution family
/ entropy
/ function of random variables
/ Growth models
/ mean square error
/ Multidimensional data
/ Multivariate analysis
/ Normal distribution
/ quasi-Monte Carlo
/ Random variables
/ Statistical analysis
/ Statistical distributions
/ Statistical models
/ Statistics
2025
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A Review: Construction of Statistical Distributions
by
Lin, Yu-Xuan
, Fang, Kai-Tai
, Deng, Yu-Hui
in
construction of statistical distribution
/ distribution family
/ entropy
/ function of random variables
/ Growth models
/ mean square error
/ Multidimensional data
/ Multivariate analysis
/ Normal distribution
/ quasi-Monte Carlo
/ Random variables
/ Statistical analysis
/ Statistical distributions
/ Statistical models
/ Statistics
2025
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Do you wish to request the book?
A Review: Construction of Statistical Distributions
by
Lin, Yu-Xuan
, Fang, Kai-Tai
, Deng, Yu-Hui
in
construction of statistical distribution
/ distribution family
/ entropy
/ function of random variables
/ Growth models
/ mean square error
/ Multidimensional data
/ Multivariate analysis
/ Normal distribution
/ quasi-Monte Carlo
/ Random variables
/ Statistical analysis
/ Statistical distributions
/ Statistical models
/ Statistics
2025
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Journal Article
A Review: Construction of Statistical Distributions
2025
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Overview
Statistical modeling is fundamentally based on probability distributions, which can be discrete or continuous and univariate or multivariate. This review focuses on the methods used to construct these distributions, covering both traditional and newly developed approaches. We first examine classic distributions such as the normal, exponential, gamma, and beta for univariate data, and the multivariate normal, elliptical, and Dirichlet for multidimensional data. We then address how, in recent decades, the demand for more flexible modeling tools has led to the creation of complex meta-distributions built using copula theory.
Publisher
MDPI AG
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