A quantile-based bivariate distribution

Fuente: arXiv
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Hauptverfasser: R, Shifna P, Nair, N. Unnikrishnan, Sunoj, S. M.
Format: Preprint
Veröffentlicht: 2025
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author R, Shifna P
Nair, N. Unnikrishnan
Sunoj, S. M.
author_facet R, Shifna P
Nair, N. Unnikrishnan
Sunoj, S. M.
contents In this paper we present a flexible bivariate distribution specified by a quantile function. The distribution contains as special cases new bivariate exponential, Pareto I, Pareto II, beta, power, log logistic and uniform distributions and also can approximate many other continuous models. Various $L$-moment based properties of the distribution such as covariance, coskewness, cokurtosis, $L$-correlation, etc are discussed. The distribution is used to model two real data sets.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A quantile-based bivariate distribution
R, Shifna P
Nair, N. Unnikrishnan
Sunoj, S. M.
Other Statistics
In this paper we present a flexible bivariate distribution specified by a quantile function. The distribution contains as special cases new bivariate exponential, Pareto I, Pareto II, beta, power, log logistic and uniform distributions and also can approximate many other continuous models. Various $L$-moment based properties of the distribution such as covariance, coskewness, cokurtosis, $L$-correlation, etc are discussed. The distribution is used to model two real data sets.
title A quantile-based bivariate distribution
topic Other Statistics
url https://arxiv.org/abs/2503.11289