New Multivariate Zero-Inflated Beta-Binomial Distribution

The multivariate zero-inflated beta-binomial model is significantly important for modelling and analyzing multivariate proportional data with extra zeros. Comparing with the binomial model, the beta-binomial model is a better alternative for explicitly accounting for over-dispersion, and zero-inflated model has a better performance on analyzing the data with excess zeros. For dealing with the data with over-dispersion and extra zeros together, zero-inflated beta-binomial model is created. Likelihood- based inferences procedures include the induction of estimating parameters of the MZIBB model via Newton-Raphson algorithm, Fisher scoring algorithm, and EM algorithm. The score test and likelihood ratio test are derived for testing the significance of zero-inflation parameter ω. The performance of the EM algorithm is evaluated by giving different group settings of parameters in the simulation study. In the end, real data which is about the effect of pesticide using for killing whiteflies are studied and analyzed by using MZIBB model.

Name thesis:degree_name

Master of Science (MSc)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Statistics

Grantor dc:publisher

Faculty of Graduate Studies and Research, University of Regina

Year dc:date.issued

2019

Author dc:creator

• Ji, Bowen

Advisor dc:contributor.advisor

• Deng, Dianliang

Committee member dc:contributor.committeemember

• Volodin, Andrei

Language dc:language.iso

en

DOI

https://doi.org/10.82465/4833

OAI identifier oai:identifier

oai:uregina.scholaris.ca:10294/9253