2016•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

Zero-Inflated Negative Binomial model to Overcome Excess Zeros Count in Motorcycles Road Accident

S.M. Sapuan, Ahmad Mahir Razali, Zamira Hasanah Zamzuri

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Abstract

Motorcycle is becoming one of the most important transportation modes and its intensity usage is increasing tremendously on the roadway. Therefore, problems of its reliability and safety are highly well-defined and discussed. In this paper, the most used model of count data for accident modeling namely Poisson and negative binomial regression are presented along with the zero-augmented model namely zero-inflated Poisson, hurdle Poisson, zero-inflated negative binomial and hurdle negative binomial will be fitted to a real motorcycle road accident data. The model validation result shows that zero-inflated negative binomial fit the data well and the highest traffic offenses and locations factors are determined.

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What this paper is about

Motorcycle is becoming one of the most important transportation modes and its intensity usage is increasing tremendously on the roadway. Therefore, problems of its reliability and safety are highly well-defined and discussed. In this paper, the most used model of count data for accident modeling namely Poisson and negative binomial regression are presented along with the zero-augmented model namely zero-inflated Poisson, hurdle Poisson, zero-inflated negative binomial and hurdle negative binomial will be fitted to a real motorcycle road accident data. The model validation result shows that zero-inflated negative binomial fit the data well and the highest traffic offenses and locations factors are determined.

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Available abstract

Motorcycle is becoming one of the most important transportation modes and its intensity usage is increasing tremendously on the roadway. Therefore, problems of its reliability and safety are highly well-defined and discussed. In this paper, the most used model of count data for accident modeling namely Poisson and negative binomial regression are presented along with the zero-augmented model namely zero-inflated Poisson, hurdle Poisson, zero-inflated negative binomial and hurdle negative binomial will be fitted to a real motorcycle road accident data. The model validation result shows that zero-inflated negative binomial fit the data well and the highest traffic offenses and locations factors are determined.

Key concepts: Negative binomial distribution, Count data, Poisson regression, Poisson distribution, Zero-inflated model, Statistics, Zero (linguistics), Negative multinomial distribution

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