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

被引：0
|
作者：
Sapuan, M. S. [1 ]
Razali, A. M. [1 ,2 ]
Zamzuri, Z. H. [1 ,2 ]
机构：
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Malaysia
[2] Univ Kebangsaan Malaysia, Ctr Modeling & Data Anal DELTA, Ukm Bangi 43600, Malaysia
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2016年 / 55卷 / 02期
关键词：
Poisson model; negative binomial model; hurdle model; zero-inflated model; and motorcycle accident;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：46 / 56
页数：11
相关论文
共 50 条
  • [1] A bivariate zero-inflated negative binomial regression model for count data with excess zeros
    Wang, PM
    [J]. ECONOMICS LETTERS, 2003, 78 (03) : 373 - 378
  • [2] Analysis of Plant Protection Studies with Excess Zeros Using Zero-Inflated and Negative Binomial Hurdle Models
    Yesdlova, Abdullah
    Kaya, Yilmaz
    Kaki, Baris
    Kasap, Ismail
    [J]. GAZI UNIVERSITY JOURNAL OF SCIENCE, 2010, 23 (02): : 131 - 136
  • [3] A Zero-Inflated Negative Binomial Regression Model to Evaluate Ship Sinking Accident Mortalities
    Chai, Tian
    Xiong, De-qi
    Weng, Jinxian
    [J]. TRANSPORTATION RESEARCH RECORD, 2018, 2672 (11) : 65 - 72
  • [4] Evaluation of negative binomial and zero-inflated negative binomial models for the analysis of zero-inflated count data: application to the telemedicine for children with medical complexity trial
    Lee, Kyung Hyun
    Pedroza, Claudia
    Avritscher, Elenir B. C.
    Mosquera, Ricardo A.
    Tyson, Jon E.
    [J]. TRIALS, 2023, 24 (01)
  • [5] Evaluation of negative binomial and zero-inflated negative binomial models for the analysis of zero-inflated count data: application to the telemedicine for children with medical complexity trial
    Kyung Hyun Lee
    Claudia Pedroza
    Elenir B. C. Avritscher
    Ricardo A. Mosquera
    Jon E. Tyson
    [J]. Trials, 24
  • [6] On the Specification of the Gravity Model of Trade: Zeros, Excess Zeros and Zero-inflated Estimation
    Burger, Martijn
    Van Oort, Frank
    Linders, Gert-Jan
    [J]. SPATIAL ECONOMIC ANALYSIS, 2009, 4 (02) : 167 - 190
  • [7] Zero-inflated negative binomial mixed regression modeling of over-dispersed count data with extra zeros
    Yau, KKW
    Wang, K
    Lee, AH
    [J]. BIOMETRICAL JOURNAL, 2003, 45 (04) : 437 - 452
  • [8] Multilevel zero-inflated negative binomial regression modeling for over-dispersed count data with extra zeros
    Moghimbeigi, Abbas
    Eshraghian, Mohammed Reza
    Mohammad, Kazem
    McArdle, Brian
    [J]. JOURNAL OF APPLIED STATISTICS, 2008, 35 (10) : 1193 - 1202
  • [9] Bivariate zero-inflated negative binomial regression model with applications
    Faroughi, Pouya
    Ismail, Noriszura
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (03) : 457 - 477
  • [10] Robust inference in the multilevel zero-inflated negative binomial model
    Zandkarimi, Eghbal
    Moghimbeigi, Abbas
    Mahjub, Hossein
    Majdzadeh, Reza
    [J]. JOURNAL OF APPLIED STATISTICS, 2020, 47 (02) : 287 - 305
12345