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A New Utility‐Consistent Econometric Approach to Multivariate Count Data Modeling

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  • Chandra R. Bhat
  • Rajesh Paleti
  • Marisol Castro

Abstract

In the current paper, we propose a new utility‐consistent modeling framework to explicitly link a count data model with an event‐type multinomial‐choice model. The proposed framework uses a multinomial probit kernel for the event‐type choice model and introduces unobserved heterogeneity in both the count and discrete‐choice components. Additionally, this paper establishes important new results regarding the distribution of the maximum of multivariate normally distributed variables, which form the basis to embed the multinomial probit model within a joint modeling system for multivariate count data. The model is applied to analyzing out‐of‐home non‐work episodes pursued by workers, using data from the National Household Travel Survey. Copyright © 2014 John Wiley & Sons, Ltd.

Suggested Citation

  • Chandra R. Bhat & Rajesh Paleti & Marisol Castro, 2015. "A New Utility‐Consistent Econometric Approach to Multivariate Count Data Modeling," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(5), pages 806-825, August.
    • Handle: RePEc:wly:japmet:v:30:y:2015:i:5:p:806-825
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    Cited by:

    1. Bhat, Chandra R., 2022. "A new closed-form two-stage budgeting-based multiple discrete-continuous model," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 162-192.
    2. Rico Krueger & Taha H. Rashidi & Akshay Vij, 2020. "X vs. Y: an analysis of intergenerational differences in transport mode use among young adults," Transportation, Springer, vol. 47(5), pages 2203-2231, October.
    3. Carson, Richard T. & Eagle, Thomas C. & Islam, Towhidul & Louviere, Jordan J., 2022. "Volumetric choice experiments (VCEs)," Journal of choice modelling, Elsevier, vol. 42(C).
    4. Bhat, Chandra R., 2015. "A comprehensive dwelling unit choice model accommodating psychological constructs within a search strategy for consideration set formation," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 161-188.
    5. Chen, Roger B., 2018. "Models of count with endogenous choices," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 862-875.
    6. Krueger, Rico & Rashidi, Taha H. & Vij, Akshay, 2018. "X vs. Y: An Analysis of Intergenerational Differences in Transport Mode Use Among Young Adults," SocArXiv unezy, Center for Open Science.
    7. 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.
    8. 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.

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