Analysis of Vehicle Theft: A Case Study in Malaysia using Functional Forms of Negative Binomial Regression Models

This paper proposes the application of the two well known models of negative binomial regression, namely the NB-1 and the NB-2, and the functional form of negative binomial regression, namely the NB-P, for the analysis of vehicle theft crime. The advantage of using the NB-P is that it parametrically nests both the NB-1 and the NB-2, and allows statistical tests of the NB-1 and the NB-2 models against a more general alternative. In this study, the functional forms of negative binomial regression model were fitted to vehicle theft crime data obtained and compiled from ten insurance companies in Malaysia. The results of this study indicate that the risks of vehicle theft are higher for vehicles above eight years, ve hicles above 1800 c.c., local vehicles and vehicles located in the central area of Malaysia.

[1]  A. E. Renshaw,et al.  Modelling the Claims Process in the Presence of Covariates , 1994 .

[2]  N. Ismail,et al.  Functional Form for the Generalized Poisson Regression Model , 2012 .

[3]  N. Ismail,et al.  Handling Overdispersion with Negative Binomial and Generalized Poisson Regression Models , 2007 .

[4]  J. T. Wulu,et al.  Regression analysis of count data , 2002 .

[5]  G. Demombynes,et al.  Crime and Local Inequality in South Africa , 2002 .

[6]  N. Reid,et al.  Likelihood , 1993 .

[7]  John Hinde,et al.  Statistical Modelling in GLIM. , 1989 .

[8]  W. Greene Functional forms for the negative binomial model for count data , 2008 .

[9]  J. Lawless Negative binomial and mixed Poisson regression , 1987 .

[10]  A. Cameron,et al.  Econometric models based on count data. Comparisons and applications of some estimators and tests , 1986 .

[11]  John A. Nelder,et al.  Likelihood, Quasi-likelihood and Pseudolikelihood: Some Comparisons , 1992 .

[12]  P. McCullagh,et al.  Generalized Linear Models , 1972, Predictive Analytics.

[13]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[14]  F. Famoye,et al.  Modeling household fertility decisions with generalized Poisson regression , 1997, Journal of population economics.

[15]  M. J. Brockman,et al.  Statistical motor rating: making effective use of your data , 1992 .

[16]  F. Famoye,et al.  Generalized poisson regression model , 1992 .

[17]  John Hinde,et al.  Statistical Modelling in GLIM. , 1990 .

[18]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[19]  Ted Chiricos,et al.  Unemployment and property crime: a target-specific assessment of opportunity and motivation as mediating factors , 2002 .

[20]  J. Andreoni,et al.  Do Police Reduce Crime ? Estimates Using the Allocation of Police Forces After a Terrorist Attack , 2003 .

[21]  Morgan Kelly Inequality and Crime , 2000, Review of Economics and Statistics.