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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| Language: | en |
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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://journalarticle.ukm.my/5586/1/19%2520Seyed%2520Ehsan.pdf http://journalarticle.ukm.my/5586/ http://www.ukm.my/jsm/ |
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| _version_ | 1831355548677701632 |
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| author | Seyed Ehsan Saffari, Robiah Adnan, |
| author_facet | Seyed Ehsan Saffari, Robiah Adnan, |
| author_sort | Seyed Ehsan Saffari, |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| 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 |
| id | my-ukm.journal-5586 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2012 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal-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/5586/1/19%2520Seyed%2520Ehsan.pdf http://journalarticle.ukm.my/5586/ http://www.ukm.my/jsm/ |
| url_provider | http://journalarticle.ukm.my/ |