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Parameter estimation on zero-inflated negative binomial regression with right truncated data

A Poisson model typically is assumed for count data, but when there are so many zeroes in the response variable, because of overdispersion, a negative binomial regression is suggested as a count regression instead of Poisson regression. In this paper, a zero-inflated negative binomial regression m...

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Main Authors: Saffari, Seyed Ehsan, Adnan, Robiah
Format: Article
Published: Sains Malaysiana 2012
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/32989/
http://www.ukm.my/jsm/pdf_files/SM-PDF-41-11-2012/19%20Seyed%20Ehsan.pdf
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spelling my.utm.329892019-03-05T02:03:12Z http://eprints.utm.my/id/eprint/32989/ Parameter estimation on zero-inflated negative binomial regression with right truncated data Saffari, Seyed Ehsan Adnan, Robiah Q Science (General) A Poisson model typically is assumed for count data, but when there are so many zeroes in the response variable, because of overdispersion, a negative binomial regression is suggested as a count regression instead of Poisson regression. In this paper, a zero-inflated negative binomial regression model with right truncation count data was developed. In this model, we considered a response variable and one or more than one explanatory variables. The estimation of regression parameters using the maximum likelihood method was discussed and the goodness-of-fit for the regression model was examined. We studied the effects of truncation in terms of parameters estimation, their standard errors and the goodness- of-fit statistics via real data. The results showed a better fit by using a truncated zero-inflated negative binomial regression model when the response variable has many zeros and it was right truncated. Sains Malaysiana 2012-11 Article PeerReviewed Saffari, Seyed Ehsan and Adnan, Robiah (2012) Parameter estimation on zero-inflated negative binomial regression with right truncated data. Sains Malaysiana, 41 (11). pp. 1483-1487. ISSN 0126-6039 http://www.ukm.my/jsm/pdf_files/SM-PDF-41-11-2012/19%20Seyed%20Ehsan.pdf
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle Q Science (General)
Saffari, Seyed Ehsan
Adnan, Robiah
Parameter estimation on zero-inflated negative binomial regression with right truncated data
description A Poisson model typically is assumed for count data, but when there are so many zeroes in the response variable, because of overdispersion, a negative binomial regression is suggested as a count regression instead of Poisson regression. In this paper, a zero-inflated negative binomial regression model with right truncation count data was developed. In this model, we considered a response variable and one or more than one explanatory variables. The estimation of regression parameters using the maximum likelihood method was discussed and the goodness-of-fit for the regression model was examined. We studied the effects of truncation in terms of parameters estimation, their standard errors and the goodness- of-fit statistics via real data. The results showed a better fit by using a truncated zero-inflated negative binomial regression model when the response variable has many zeros and it was right truncated.
format Article
author Saffari, Seyed Ehsan
Adnan, Robiah
author_facet Saffari, Seyed Ehsan
Adnan, Robiah
author_sort Saffari, Seyed Ehsan
title Parameter estimation on zero-inflated negative binomial regression with right truncated data
title_short Parameter estimation on zero-inflated negative binomial regression with right truncated data
title_full Parameter estimation on zero-inflated negative binomial regression with right truncated data
title_fullStr Parameter estimation on zero-inflated negative binomial regression with right truncated data
title_full_unstemmed Parameter estimation on zero-inflated negative binomial regression with right truncated data
title_sort parameter estimation on zero-inflated negative binomial regression with right truncated data
publisher Sains Malaysiana
publishDate 2012
url http://eprints.utm.my/id/eprint/32989/
http://www.ukm.my/jsm/pdf_files/SM-PDF-41-11-2012/19%20Seyed%20Ehsan.pdf
_version_ 1643649199260041216
score 13.211869

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