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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2012
|
| Online Access: | http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf |
| _version_ | 1848810877323575296 |
|---|---|
| author | Seyed Ehsan Saffari, Robiah Adnan, |
| author_facet | Seyed Ehsan Saffari, Robiah Adnan, |
| author_sort | Seyed Ehsan Saffari, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:37:29Z |
| format | Article |
| id | oai:generic.eprints.org:5586 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:37:29Z |
| publishDate | 2012 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | Seyed Ehsan Saffari, Robiah Adnan, Parameter estimation on zero-inflated negative binomial regression with right truncated data |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/ http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf |