Likelihood estimation for longitudinal zero-inflated power series regression models

References

• Agresti , A. 2002 . Categorical Data Analysis , 2 , Hoboken , NJ : Wiley-Interscience .
   Google Scholar
• Billor , N. and Loynes , R. M. 1993 . Local influence: A new approach . Comm. Statist. Theory Methods , 22 : 1595 – 1611 .
   Web of Science ®Google Scholar
• Bohning , D. , Dietz , E. , Schlattmann , P. , Mendonca , L. and Kirchner , U. 1999 . The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology . J. R. Stat. Soc. Ser. A , 162 : 195 – 209 .
   Web of Science ®Google Scholar
• Bond , S. J. and Farewell , V. T. 2009 . Likelihood estimation for a longitudinal negative binomial regression model with missing outcomes . J. R. Stat. Soc. Ser. C , 3 : 58 – 72 .
   Google Scholar
• Bond , S. J. , Farewell , V. T. , Schentag , C. T. and Gladman , D. D. 2007 . Predictors for radiological damage in psoriatic arthritis: Results from a single centre . Ann. Rheum. Dis. , 66 : 377 – 388 .
   Web of Science ®Google Scholar
• Cameron , A. C. and Trivedi , P. K. 1998 . Regression Analysis of Count Data , New York : Cambridge University Press .
   Google Scholar
• Castilo , J. D. and Casany , M. P. 2005 . Overdispersed and underdispersed Poisson generalizations . J. Statist. Plann. Inference , 134 ( 2 ) : 486 – 500 .
   Web of Science ®Google Scholar
• Cheung , Y. 2002 . Zero-inflated models for regression analysis of count data: A study of growth and development . Stat. Med. , 21 : 1461 – 1469 .
   PubMed Web of Science ®Google Scholar
• Cook , R. D. 1986 . Assessment of local influence (with discussion) . J. R. Stat. Soc. Ser. B , 48 : 133 – 169 .
   Google Scholar
• Famoye , F. and Singh , K. 2006 . Zero-inflated generalized Poisson regression model with an application to domestic violence data . J. Data Sci. , 4 : 117 – 130 .
   Google Scholar
• Gupta , P. L. , Gupta , R. C. and Tripathi , R. C. 1996 . Analysis of zero-adjusted count data . Comput. Statist. Data Anal. , 23 : 207 – 218 .
   Web of Science ®Google Scholar
• Gupta , P. L. , Gupta , R. L. and Tripathi , R. C. 2004 . Score test for zero inflated generalized Poisson regression model . Comm. Statist. Theory Methods , 33 ( 1 ) : 47 – 64 .
   Web of Science ®Google Scholar
• Hall , D. 2000 . Zero-inflated Poisson and binomial regression with random effects: A case study . Biometrics , 56 : 1030 – 1039 .
   PubMed Web of Science ®Google Scholar
• Hanley , J. G. , Russell , M. L. and Gladman , D. D. 1988 . Psoriatic spondyloarthropathy: A long term prospective study . Ann. Rheum. Dis. , 47 : 386 – 393 .
   Web of Science ®Google Scholar
• Heibron , D. 1994 . Zero-altered and other regression models for count data with added zeros . Biom. J. , 36 : 531 – 547 .
   Web of Science ®Google Scholar
• Kale , B. K. 1998 . Optimal estimating equations for discrete data with higher frequencies at a point . J. Indian Statist. Assoc. , 36 : 125 – 136 .
   Google Scholar
• Kale , B. K. and Muralidharan , K. 2000 . Optimal estimating equations in mixture distributions accommodating instantaneous or early failures . J. Indian Statist. Assoc. , 38 : 317 – 329 .
   Google Scholar
• Karlis , D. and Ntzoufras , I. 2003 . Analysis of sports data using bivariate of the Poisson models . J. R. Stat. Soc. Ser. D , 52 : 381 – 393 .
   Web of Science ®Google Scholar
• Karlis , D. and Ntzoufras , I. 2006 . Bayesian analysis of the differences of count data . Stat. Med. , 25 : 1885 – 1905 .
   PubMed Web of Science ®Google Scholar
• Lambert , D. 1992 . Zero-inflated Poisson regression, with an application to defects in manufacturing . Technometrics , 34 : 1 – 14 .
   Web of Science ®Google Scholar
• Lindsey , J. 1997 . Applying Generalized Linear Models (Springer Texts in Statistics) , New York : Springer .
   Google Scholar
• Min , Y. Y. and Agresti , A. 2005 . Random effect models for repeated measures of zero-inflated count data . Stat. Model. , 5 ( 1 ) : 1 – 19 .
   Web of Science ®Google Scholar
• Murat , M. and Szynal , D. 2003 . Moments of certain deformed probability distributions . Comm. Statist. Theory Methods , 32 ( 2 ) : 291 – 313 .
   Web of Science ®Google Scholar
• Mwalili , S. , Lesaffre , E. and Declerck , D. 2008 . The zero-inflated negative binomial regression model with correction for misclassification: An example in caries research . Stat. Methods Med. Res. , 17 : 123 – 139 .
   PubMed Web of Science ®Google Scholar
• Patil , M. K. and Shirke , D. T. 2007 . Testing parameter of the power series distribution of a zero inflated power series model . Stat. Methodol. , 4 : 393 – 406 .
   Google Scholar
• Patil , M. K. and Shirke , D. T. 2011 . Tests for equality of inflation parameters of two zero-inflated power series distributions . Comm. Statist. Theory Methods , 40 ( 14 ) : 2539 – 2553 .
   Web of Science ®Google Scholar
• Vandenbrock , J. 1995 . A score test for zero inflation in a Poisson distribution . Biometrics , 51 ( 2 ) : 738 – 743 .
   Web of Science ®Google Scholar
• Xie , M. , He , B. and Goh , T. N. 2001 . Zero-inflated Poisson model in statistical process control . Comput. Statist. Data Anal. , 38 : 191 – 201 .
   Web of Science ®Google Scholar
• Yip , P. 1988 . Inference about the mean of a Poisson distribution in the presence of a nuisance parameter . Aust. J. Stat. , 30 : 299 – 306 .
   Google Scholar