Journal of Statistics: Advances in Theory and ApplicationsAuthor's: Farzana Jahan, Borhan Siddika and M. Ataharul Islam
Pages: [45] - [65]
Received Date: July 23, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121695
Application of the generalized linear models (GLMs) in real life problems are well established and has extensive use. However, the GLM for the geometric distribution is not explored yet. The present study consists of the derivation of the GLM for the geometric distribution, estimation of parameters, and test procedures. An application is made to Bangladesh Demographic and Health Survey 2011 data to find the significant factors associated with the first occurrence of infant death in terms of birth order. Two different generalized linear models are fitted, one using the natural link function and the other one using the log link function. At the end, the results of both models are compared. It is found that the model fitted using log link function has lower Akaike’s information criteria (AIC) and deviance than the model fitted using the natural link function, that means the GLM for the geometric distribution using log link function provides better result.
geometric distribution, generalized linear model, infant mortality, birth order.
