On the one parameter unit-Lindley distribution and its associated regression model for proportion data

01/08/2018
by   J. Mazucheli, et al.
0

In this paper considering the transformation X=Y/1+Y, where Y ∼Lindley(θ), we propose the unit-Lindley distribution and investigate some of its mathematical properties. A important fact associated with this new distribution is that is possible to obtain the analytical expression for bias correction of the maximum likelihood estimator. Moreover, it belongs to the exponential family. This distribution allows us to incorporate covariates directly in the mean and consequently to quantify the influence on the average of the response variable. Finally, a practical application is present and it is shown that our model fits much better than the Beta regression.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/20/2018

A new regression model for positive data

In this paper, we propose a regression model where the response variable...
research
08/18/2021

A Model for Bimodal Rates and Proportions

The beta model is the most important distribution for fitting data with ...
research
04/11/2022

An extended Rayleigh model: Properties, regression and COVID-19 application

We define a four-parameter extended Rayleigh distribution, and obtain se...
research
02/07/2019

Modeling microbial abundances and dysbiosis with beta-binomial regression

Using a sample from a population to estimate the proportion of the popul...
research
02/17/2021

Unbiased Estimations based on Binary Classifiers: A Maximum Likelihood Approach

Binary classifiers trained on a certain proportion of positive items int...
research
12/01/2018

The Unifed Distribution

We introduce a new distribution with support on (0,1) called unifed. It ...

Please sign up or login with your details

Forgot password? Click here to reset