Negative Binomial-Lindley Distribution and Its Application

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
The Poisson-Inverse Gaussian distribution as an alternative to the negative binomial Scandinavian Actuarial Journal
  • Science: Mathematics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Social Sciences: Statistics
  • Social Sciences: Sociology (General)
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
 114 1987
How to define a bonus-malus system with an exponential utility function. 1979
Fiducial distributions and Bayes theorem. Journal of the Royal Statistical Society. Series A (General) 1958
Fitting negative binomial distributions by the method of maximum likelihood. Proc. Casual. 1961
10.2143/AST.22.1.2005129
Citations
Title Journal Journal Categories Citations Publication Date
Assessing the Negative Binomial-Lindley model for crash hotspot identification: Insights from Monte Carlo simulation analysis Accident Analysis & Prevention
  • Philosophy. Psychology. Religion: Psychology
  • Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene
  • Social Sciences: Sociology (General)
  • Social Sciences: Transportation and communications
  • Medicine: Public aspects of medicine
  • Social Sciences
 2024
Short-term Safety Performance Functions by Random Parameters Negative Binomial-Lindley model for Part-time Shoulder Use Accident Analysis & Prevention
  • Philosophy. Psychology. Religion: Psychology
  • Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene
  • Social Sciences: Sociology (General)
  • Social Sciences: Transportation and communications
  • Medicine: Public aspects of medicine
  • Social Sciences
 2024
A Poisson Lognormal-Lindley model for simultaneous estimation of multiple crash-types: Application of multivariate and pooled univariate models Analytic Methods in Accident Research
  • Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene
  • Social Sciences: Transportation and communications
  • Social Sciences: Sociology (General)
  • Social Sciences
 2024
A New Compound Distribution and Its Applications in Over-dispersed Count Data Annals of Data Science 1 2023
A Lindley–binomial model for analyzing the proportions with sparseness and excessive zeros Journal of Applied Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics28
Science: Mathematics: Probabilities. Mathematical statistics18
Social Sciences: Transportation and communications12
Social Sciences11
Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene10
Social Sciences: Sociology (General)10
Philosophy. Psychology. Religion: Psychology8
Medicine: Public aspects of medicine8
Technology: Engineering (General). Civil engineering (General)7
Science: Science (General)6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Medicine: Medicine (General): Computer applications to medicine. Medical informatics3
Technology: Engineering (General). Civil engineering (General): Transportation engineering3
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
Social Sciences: Industries. Land use. Labor2
Science2
Science: Biology (General)2
Medicine: Medicine (General): Medical technology1
Science: Astronomy: Astrophysics1
Science: Physics1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Manufactures: Production management. Operations management1
Technology: Technology (General): Industrial engineering. Management engineering1
Social Sciences: Economic theory. Demography: Economics as a science1
Social Sciences: Statistics1
Social Sciences: Commerce: Business1
Social Sciences: Finance1
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry1
The category Science: Mathematics 28 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Model for Analyzing Counts with Over-,Equi-and Under-Dispersion in Actuarial Statistics and was published in 2010. The most recent citation comes from a 2024 study titled Assessing the Negative Binomial-Lindley model for crash hotspot identification: Insights from Monte Carlo simulation analysis. This article reached its peak citation in 2021, with 12 citations. It has been cited in 46 different journals, 13% of which are open access. Among related journals, the Accident Analysis & Prevention cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year