Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Comparison of distribution selection methods

Journal Article · · Communications in Statistics. Simulation and Computation
ORCiD logo [1];  [2];  [2];  [1]
  1. Cornell Univ., Ithaca, NY (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
+ Show Author Affiliations

Many methods have been suggested to choose between distributions. There has been relatively less study to examine whether these methods accurately recover the distributions being studied. Here, this research compares several popular distribution selection methods through a Monte Carlo simulation study and identifies which are robust for several types of discrete probability distributions. In addition, we study whether it matters that the distribution selection method does not accurately pick the correct probability distribution by calculating the expected distance, which is the amount of information lost for each distribution selection method compared to the generating probability distribution.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1697986
Report Number(s):
SAND--2019-10069J; 678846
Journal Information:
Communications in Statistics. Simulation and Computation, Journal Name: Communications in Statistics. Simulation and Computation Journal Issue: 4 Vol. 51; ISSN 0361-0918
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English

References (34)

Zero-Inflated Poisson Models and C.A.MAN: A Tutorial Collection of Evidence journal November 1998
Modeling distributions of travel time variability for bus operations: Bus Travel Time Distribution Model journal June 2015
Generalized Poisson Distribution: the Property of Mixture of Poisson and Comparison with Negative Binomial Distribution journal April 2005
Many zeros does not mean zero inflation: comparing the goodness-of-fit of parametric models to multivariate abundance data journal January 2005
AIC model selection and multimodel inference in behavioral ecology: some background, observations, and comparisons journal August 2010
Modeling crashes involving pedestrians and motorized traffic journal August 2003
Full Bayes Poisson gamma, Poisson lognormal, and zero inflated random effects models: Comparing the precision of crash frequency estimates journal January 2013
The misuse of the Vuong test for non-nested models to test for zero-inflation journal February 2015
A discrete inverse Weibull distribution and estimation of its parameters journal March 2010
Tree mode of death and mortality risk factors across Amazon forests journal November 2020
Friendship stability in adolescence is associated with ventral striatum responses to vicarious rewards journal January 2021
Skillful statistical models to predict seasonal wind speed and solar radiation in a Yangtze River estuary case study journal May 2020
A Kolmogorov Goodness-of-Fit Test for Discontinuous Distributions journal September 1972
Estimating the Degree of Heterogeneity between Event Rates Using Likelihood journal February 1995
A new look at the statistical model identification journal December 1974
Analysis of sports data by using bivariate Poisson models journal October 2003
On Choosing and Bounding Probability Metrics journal December 2002
Fitting Discrete Probability Distributions to Evolutionary Events journal June 1971
Statistical Models for Count Data journal January 2016
Multimodel Inference: Understanding AIC and BIC in Model Selection journal November 2004
Generalized Inflated Discrete Models: A Strategy to Work with Multimodal Discrete Distributions journal July 2018
Testing for Zero Inflation in Count Models: Bias Correction for the Vuong Test journal December 2013
The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit journal September 1954
On Information and Sufficiency journal March 1951
Estimating the Dimension of a Model journal March 1978
Generalized Inflated Discrete Models: A Strategy to Work with Multimodal Discrete Distributions text January 2017
Integer-valued Time Series Model via Generalized Linear Models Technique of Estimation journal January 2018
On Some Discrete Distributions and their Applications with Real Life Data journal November 2009
On Choosing and Bounding Probability Metrics
  • Gibbs, Alison L.; Su, Francis Edward
  • International Statistical Review / Revue Internationale de Statistique, Vol. 70, Issue 3 https://doi.org/10.2307/1403865
journal December 2002
Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses journal March 1989
Analysis of Frequency Count Data Using the Negative Binomial Distribution journal December 1996
A Kolmogorov Goodness-of-Fit Test for Discontinuous Distributions journal September 1972
Fitting the Negative Binomial Distribution to Biological Data journal June 1953
Generalized Inflated Discrete Models: A Strategy to Work with Multimodal Discrete Distributions collection January 2018

Similar Records

Related Subjects

97 MATHEMATICS AND COMPUTING
count data
discrete distributions
distribution selection
goodness-of-fit tests