DeepAI AI Chat
Log In Sign Up

A simulation-based study of Zero-inflated Bernoulli model with various models for the susceptible probability

01/23/2023
by   Essoham Ali, et al.
Ton Duc Thang University
0

In this work, we are interested in the stability and robustness of the parameter estimation in the Zero-Inflated Bernoulli (ZIBer) model, when the susceptible probability (SP) model is modeled by numerous different binary models: logit, probit, cloglog and generalized extreme value (GEV). To address this problem, we propose the maximum likelihood estimation (MLE) method to check its performance when different SP models are considered. Based on numerical evidences through simulation studies and the analysis of a real data set, it can be seen that the MLE approach has provided accurate and reliable inferences. In addition, it can also be seen that for the empirical analysis, the probit-ZIBer model is probably more suitable for the fishing data set than the other models considered in this study. Besides, the results obtained in the experimental analysis are also very consistent, compatible and very meaningful in practice. It will help us to understand the importance of increasing production while fishing.

READ FULL TEXT
05/07/2023

Fast parameter estimation of Generalized Extreme Value distribution using Neural Networks

The heavy-tailed behavior of the generalized extreme-value distribution ...
10/17/2019

Consistency of the Buckley-Osthus model and the hierarchical preferential attachment model

This paper is concerned with statistical estimation of two preferential ...
02/08/2013

Efficiency for Regularization Parameter Selection in Penalized Likelihood Estimation of Misspecified Models

It has been shown that AIC-type criteria are asymptotically efficient se...
11/03/2021

Inference of Microbial Interactions Using Copula Models with Mixture Margins

Quantification of microbial interactions from 16S rRNA and meta-genomic ...
05/27/2023

Mathematical model of mating probability and fertilized egg production in helminth parasites

In the modeling of parasite transmission dynamics, understanding the rep...
09/23/2021

Semiparametric bivariate extreme-value copulas

Extreme-value copulas arise as the limiting dependence structure of comp...