Premium
Econometric models based on count data. Comparisons and applications of some estimators and tests
Author(s) -
Cameron A. Colin,
Trivedi Pravin K.
Publication year - 1986
Publication title -
journal of applied econometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.878
H-Index - 99
eISSN - 1099-1255
pISSN - 0883-7252
DOI - 10.1002/jae.3950010104
Subject(s) - estimator , poisson distribution , count data , econometric model , poisson regression , econometrics , mathematics , integer (computer science) , poisson process , variable (mathematics) , compound poisson process , variety (cybernetics) , computer science , statistics , mathematical analysis , population , demography , sociology , programming language
This paper deals with specification, estimation and tests of single equation reduced form type equations in which the dependent variable takes only non‐negative integer values. Beginning with Poisson and compound Poisson models, which involve strong assumptions, a variety of possible stochastic models and their implications are discussed. A number of estimators and their properties are considered in the light of uncertainty about the data generation process. The paper also considers the role of tests in sequential revision of the model specification beginr ing with the Poisson case and provides a detailed application of the estimators and tests to a model of the number of doctor consultations.