IDEAS home Printed from https://ideas.repec.org/p/cdl/ucsdec/qt6r282286.html
   My bibliography  Save this paper

Moment-based Estimation of Latent Class Models of Event Counts

Author

Listed:
  • Deb, Partha
  • TRIVEDI, PRAVIN K

Abstract

This paper develops and implements a GMM estimator for latent class models suitable for count data. The estimator uses conditional moment restrictions derived from standard count models. Both the efficient and consistent variants are considered. The implementation of optimal GMM based on semiparametric estimates of the weighting matrix appears to be problematic as the matrix is not guaranteed to be positive definite. A suboptimal variant which ensures positive definiteness is found to work well in computer simulations. The paper compares maximum likelihood and GMM estimators for Poisson based mixtures in two applications to U.S. health utilization data for the elderly from the National Medical Expenditure Survey.

Suggested Citation

  • Deb, Partha & TRIVEDI, PRAVIN K, 1998. "Moment-based Estimation of Latent Class Models of Event Counts," University of California at San Diego, Economics Working Paper Series qt6r282286, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt6r282286
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/6r282286.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Morduch, Jonathan J. & Stern, Hal S., 1997. "Using mixture models to detect sex bias in health outcomes in Bangladesh," Journal of Econometrics, Elsevier, vol. 77(1), pages 259-276, March.
    2. Wang, Peiming & Cockburn, Iain M & Puterman, Martin L, 1998. "Analysis of Patent Data--A Mixed-Poisson-Regression-Model Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 27-41, January.
    3. Altonji, Joseph G & Segal, Lewis M, 1996. "Small-Sample Bias in GMM Estimation of Covariance Structures," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 353-366, July.
    4. Gallant, A. Ronald, 1977. "Three-stage least-squares estimation for a system of simultaneous, nonlinear, implicit equations," Journal of Econometrics, Elsevier, vol. 5(1), pages 71-88, January.
    5. John Geweke & Michael P. Keane, 1997. "Mixture of normals probit models," Staff Report 237, Federal Reserve Bank of Minneapolis.
    6. Peiming Wang & Iain Cockburn & Martin L. Puterman, "undated". "A Mixed Poisson Regression Model for Analysis of Patent Data," Computing in Economics and Finance 1996 _049, Society for Computational Economics.
    7. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-336, May-June.
    8. Gritz, R. Mark, 1993. "The impact of training on the frequency and duration of employment," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 21-51.
    9. Wedel, M, et al, 1993. "A Latent Class Poisson Regression Model for Heterogeneous Count Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(4), pages 397-411, Oct.-Dec..
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bowker, James Michael & Starbuck, C. Meghan & English, Donald B.K. & Bergstrom, John C. & Rosenberger, Randall S. & McCollum, Daniel W., 2009. "Estimating the Net Economic Value of National Forest Recreation: An Application of the National Visitor Use Monitoring Database," Faculty Series 59603, University of Georgia, Department of Agricultural and Applied Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Deb, Partha & Trivedi, Pravin K., 2002. "The structure of demand for health care: latent class versus two-part models," Journal of Health Economics, Elsevier, vol. 21(4), pages 601-625, July.
    2. Vincenzo Atella & Francesco Brindisi & Partha Deb & Furio C. Rosati, 2004. "Determinants of access to physician services in Italy: a latent class seemingly unrelated probit approach," Health Economics, John Wiley & Sons, Ltd., vol. 13(7), pages 657-668, July.
    3. Conway, Karen Smith & Deb, Partha, 2005. "Is prenatal care really ineffective? Or, is the 'devil' in the distribution?," Journal of Health Economics, Elsevier, vol. 24(3), pages 489-513, May.
    4. Partha Deb & Ann M. Holmes, 2000. "Estimates of use and costs of behavioural health care: a comparison of standard and finite mixture models," Health Economics, John Wiley & Sons, Ltd., vol. 9(6), pages 475-489, September.
    5. Brutscher, P., 2012. "Self-Disconnection Among Pre-Payment Customers - A Behavioural Analysis," Cambridge Working Papers in Economics 1214, Faculty of Economics, University of Cambridge.
    6. Padmaja Ayyagari & Partha Deb & Jason Fletcher & William Gallo & Jody L. Sindelar, 2013. "Understanding Heterogeneity In Price Elasticities In The Demand For Alcohol For Older Individuals," Health Economics, John Wiley & Sons, Ltd., vol. 22(1), pages 89-105, January.
    7. Partha Deb & William T. Gallo & Padmaja Ayyagari & Jason M. Fletcher & Jody L. Sindelar, 2009. "Job Loss: Eat, drink and try to be merry?," NBER Working Papers 15122, National Bureau of Economic Research, Inc.
    8. Deb, Partha & Gallo, William T. & Ayyagari, Padmaja & Fletcher, Jason M. & Sindelar, Jody L., 2011. "The effect of job loss on overweight and drinking," Journal of Health Economics, Elsevier, vol. 30(2), pages 317-327, March.
    9. Óscar Lourenço & Carlota Quintal & Pedro Lopes Ferreira & Pedro Pita Barros, 2007. "A equidade na utilização de cuidados de saúde em Portugal: Uma avaliação baseada em modelos de contagem," Notas Económicas, Faculty of Economics, University of Coimbra, issue 25, pages 6-26, June.
    10. Padmaja Ayyagari & Partha Deb & Jason Fletcher & William T. Gallo & Jody L. Sindelar, 2009. "Sin Taxes: Do Heterogeneous Responses Undercut Their Value?," NBER Working Papers 15124, National Bureau of Economic Research, Inc.
    11. William Greene, 2001. "Fixed and Random Effects in Nonlinear Models," Working Papers 01-01, New York University, Leonard N. Stern School of Business, Department of Economics.
    12. Teresa Bago d'Uva, 2005. "Latent class models for use of primary care: evidence from a British panel," Health Economics, John Wiley & Sons, Ltd., vol. 14(9), pages 873-892, September.
    13. Payandeh Najafabadi Amir T. & MohammadPour Saeed, 2018. "A k-Inflated Negative Binomial Mixture Regression Model: Application to Rate–Making Systems," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 12(2), pages 1-31, July.
    14. Bago d'Uva, Teresa & Jones, Andrew M. & van Doorslaer, Eddy, 2009. "Measurement of horizontal inequity in health care utilisation using European panel data," Journal of Health Economics, Elsevier, vol. 28(2), pages 280-289, March.
    15. Stephen Hynes & William Greene, 2016. "Preference Heterogeneity in Contingent Behaviour Travel Cost Models with On-site Samples: A Random Parameter vs. a Latent Class Approach," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(2), pages 348-367, June.
    16. Lim, Hwa Kyung & Li, Wai Keung & Yu, Philip L.H., 2014. "Zero-inflated Poisson regression mixture model," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 151-158.
    17. Padma Sharma, 2022. "Assessing Regulatory Responses to Banking Crises," Research Working Paper RWP 22-04, Federal Reserve Bank of Kansas City.
    18. William Greene, 2004. "Convenient estimators for the panel probit model: Further results," Empirical Economics, Springer, vol. 29(1), pages 21-47, January.
    19. Ouédraogo, Rasmané & Sawadogo, Relwendé & Sawadogo, Hamidou, 2020. "Private and public investment in sub-Saharan Africa: The role of instability risks," Economic Systems, Elsevier, vol. 44(2).
    20. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cdl:ucsdec:qt6r282286. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/deucsus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.