DeepAI AI Chat
Log In Sign Up

Bivariate distributions on the unit square: Theoretical properties and applications

by   Roberto Vila, et al.
University of Brasilia
McMaster University

We introduce the bivariate unit-log-symmetric model based on the bivariate log-symmetric distribution (BLS) defined in [Vila et al., 2022, Bivariate Log-symmetric Models: Theoretical Properties and Parameter Estimation. Avaliable at arXiv:2211.13839] as a flexible family of bivariate distributions over the unit square. We then study its mathematical properties such as stochastic representations, quantiles, conditional distributions, independence of the marginal distributions and moments. Maximum likelihood estimation method is discussed and examined through Monte Carlo simulation. Finally, the proposed model is used to analyze soccer data.


page 1

page 2

page 3

page 4


Unit-log-symmetric models: Characterization, statistical properties and its use in analyzing internet access data

We present here a unit-log-symmetric model based on the bivariate log-sy...

On a family of discrete log-symmetric distributions

The use of continuous probability distributions has been widespread in p...

Quantiles and depth for directional data from elliptically symmetric distributions

We present canonical quantiles and depths for directional data following...

On an Inflated Unit-Lindley Distribution

Modeling fractional data in various real life scenarios is a challenging...

A class of asymmetric regression models for left-censored data

A common assumption regarding the standard tobit model is the normality ...

Log-symmetric models with cure fraction with application to leprosy reactions data

In this paper, we propose a log-symmetric survival model with cure fract...