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 mod...
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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf |
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ukm-55862016-12-14T06:38:53Z http://journalarticle.ukm.my/5586/ Parameter estimation on zero-inflated negative binomial regression with right truncated data Seyed Ehsan Saffari, Robiah Adnan, 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. Universiti Kebangsaan Malaysia 2012-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf Seyed Ehsan Saffari, and Robiah Adnan, (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/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| language |
English |
| 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 |
Seyed Ehsan Saffari, Robiah Adnan, |
| spellingShingle |
Seyed Ehsan Saffari, Robiah Adnan, Parameter estimation on zero-inflated negative binomial regression with right truncated data |
| author_facet |
Seyed Ehsan Saffari, Robiah Adnan, |
| author_sort |
Seyed Ehsan Saffari, |
| 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 |
Universiti Kebangsaan Malaysia |
| publishDate |
2012 |
| url |
http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf |
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2023-09-18T19:44:34Z |
| last_indexed |
2023-09-18T19:44:34Z |
| _version_ |
1777405813665562624 |