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Analyzing Frequencies of Several Types of Events: A Mixed Multinomial-Poisson Approach

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  • Terza, Joseph V
  • Wilson, Paul W

Abstract

A flexible, generalized Poisson model is combined with the multinomial distribution to jointly predict households' choices among types of trips and frequency of trips. The model is compared with conventional Poisson models. The problem of a time-variant mean for frequencies is also addressed, as well as the mean-variance property of the conventional Poisson model that is avoided by use of the generalized formulation. The generalized model is found to outperform the conventional models. Copyright 1990 by MIT Press.

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  • Terza, Joseph V & Wilson, Paul W, 1990. "Analyzing Frequencies of Several Types of Events: A Mixed Multinomial-Poisson Approach," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 108-115, February.
    • Handle: RePEc:tpr:restat:v:72:y:1990:i:1:p:108-15
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    Cited by:

    1. A. Colin Cameron & Per Johansson, 2004. "Bivariate Count Data Regression Using Series Expansions: With Applications," Working Papers 9815, University of California, Davis, Department of Economics.
    2. T.R.L. Fry & R.D. Brooks & Br. Comley & J. Zhang, 1993. "Economic Motivations for Limited Dependent and Qualitative Variable Models," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 193-205, June.
    3. Eugenio Miravete, 2014. "Testing for complementarities among countable strategies," Empirical Economics, Springer, vol. 46(4), pages 1521-1544, June.
    4. Mark K. Cassell & Michael Schwan & Marc Schneiberg, 2023. "Bank Types, Inclusivity, and Paycheck Protection Program Lending During COVID-19," Economic Development Quarterly, , vol. 37(3), pages 277-294, August.
    5. Parsons, George R. & Jakus, Paul M. & Tomasi, Ted, 1999. "A Comparison of Welfare Estimates from Four Models for Linking Seasonal Recreational Trips to Multinomial Logit Models of Site Choice," Journal of Environmental Economics and Management, Elsevier, vol. 38(2), pages 143-157, September.
    6. Andr? Romeu-Santana & ?gel M. Vera-Hern?dez, "undated". "A Semi-Nonparametric Estimator For Counts With An Endogenous Dummy. Variable," UFAE and IAE Working Papers 452.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    7. Efthymios Tsionas & George Halkos, 2000. "Posterior Analysis of Environmental Damage Evaluation in Europe," International Review of Applied Economics, Taylor & Francis Journals, vol. 14(3), pages 371-390.
    8. Andrés Romeu & Marcos Vera-Hernández, 2005. "Counts with an endogenous binary regressor: A series expansion approach," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 1-22, March.
    9. Terza, Joseph V., 1998. "Estimating count data models with endogenous switching: Sample selection and endogenous treatment effects," Journal of Econometrics, Elsevier, vol. 84(1), pages 129-154, May.
    10. Bhat, Chandra R., 2005. "A multiple discrete-continuous extreme value model: formulation and application to discretionary time-use decisions," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 679-707, September.
    11. Cuffe, Barry P. & Friedman, Moshe F., 1996. "The joint distribution of the number of occurrences of two interrelated Poisson processes," European Journal of Operational Research, Elsevier, vol. 89(3), pages 660-667, March.
    12. W. Scott Comulada & Robert E. Weiss, 2007. "On Models for Binomial Data with Random Numbers of Trials," Biometrics, The International Biometric Society, vol. 63(2), pages 610-617, June.
    13. Bhat, Chandra R., 2022. "A closed-form multiple discrete-count extreme value (MDCNTEV) model," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 65-86.
    14. Sfeir, Georges & Abou-Zeid, Maya & Kaysi, Isam, 2020. "Multivariate count data models for adoption of new transport modes in an organization-based context," Transport Policy, Elsevier, vol. 91(C), pages 59-75.
    15. Miravete, Eugenio, 2009. "Multivariate Sarmanov Count Data Models," CEPR Discussion Papers 7463, C.E.P.R. Discussion Papers.

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