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Models for Bivariate Count Data with an Application to Teenage Delinquency and Paternity

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  • DAVID H. GOOD

    (Indiana University)

  • MAUREEN A. PIROG-GOOD

    (Indiana University)

Abstract

In this article, a new model, the bivariate lognormal Poisson, is developed to examine the relationships between two count processes. This model is an extension of Schoenberg's (1985) univariate lognormal Poisson model. Although computationally more cumbersome, it is substantially more flexible than previous bivariate count data models because it allows heterogeneity and correlation to be parameterized independently. As an application, the processes underlying out-of-wedlock teenage paternities and juvenile arrests are assessed for the extent to which they are manifestations of the same underlying factors. Using three birth cohorts of data, the processes generating these paternities and crimes are found to be related although not identical. Moreover, the strength of the correlations of the processes that generate paternities and crimes is much stronger in the population of white teenagers when compared to that of blacks.

Suggested Citation

  • David H. Good & Maureen A. Pirog-Good, 1989. "Models for Bivariate Count Data with an Application to Teenage Delinquency and Paternity," Sociological Methods & Research, , vol. 17(4), pages 409-431, May.
    • Handle: RePEc:sae:somere:v:17:y:1989:i:4:p:409-431
    DOI: 10.1177/0049124189017004006
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    References listed on IDEAS

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    1. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    2. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
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    Cited by:

    1. Sorensen, Herb & Bogomolova, Svetlana & Anderson, Katherine & Trinh, Giang & Sharp, Anne & Kennedy, Rachel & Page, Bill & Wright, Malcolm, 2017. "Fundamental patterns of in-store shopper behavior," Journal of Retailing and Consumer Services, Elsevier, vol. 37(C), pages 182-194.
    2. M. A. Pirog-Good, "undated". "The education and labor market outcomes of adolescent fathers," Institute for Research on Poverty Discussion Papers 1014-93, University of Wisconsin Institute for Research on Poverty.

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