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Estimation of a Simple Queuing System WithUnits-in-Service and Complete Data


  • James E. Prieger

    (Department of Economics, University of California Davis)


Queuing theory may be useful for analyzing economic phenomena involving count and duration data. We develop maximum likelihood estimators for the time-varying parameters of a simple queuing system based on two kinds of data: complete interarrival and service times (IST), and number of units in service (NIS). The IST estimator dominates the NIS estimator, in terms of ease of implementation, bias, and variance. The model is useful for many empirical applications in economics.

Suggested Citation

  • James E. Prieger, 2005. "Estimation of a Simple Queuing System WithUnits-in-Service and Complete Data," Working Papers 535, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:05-35

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    References listed on IDEAS

    1. James E. Prieger, 2002. "Regulation, Innovation, and the Introduction of New Telecommunications Services," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 704-715, November.
    2. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-370, March.
    3. Trond Petersen, 1986. "Estimating Fully Parametric Hazard Rate Models with Time-Dependent Covariates," Sociological Methods & Research, , vol. 14(3), pages 219-246, February.
    4. Prieger, James E, 2001. "Telecommunications Regulation and New Services: A Case Study at the State Level," Journal of Regulatory Economics, Springer, vol. 20(3), pages 285-305, November.
    5. Brock, William A. & Kleidon, Allan W., 1992. "Periodic market closure and trading volume : A model of intraday bids and asks," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 451-489.
    6. Mitsuru Iwamura, 1992. "The Determination of Monetary Aggregates and Interest Rates," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 10(1), pages 65-93, February.
    7. De Vany, Arthur & Frey, Gail, 1982. "Backlogs and the Value of Excess Capacity in the Steel Industry," American Economic Review, American Economic Association, vol. 72(3), pages 441-451, June.
    8. Mulligan, James G. & Hoffman, Saul D., 1998. "Daycare Quality and Regulation: A Queuing-Theoretic Approach," Economics of Education Review, Elsevier, vol. 17(1), pages 1-13, February.
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    More about this item


    m (t)/M (t)/8 queue; infinite server queue; time-varying parameters; Poisson stochasticprocess; duration data;

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L8 - Industrial Organization - - Industry Studies: Services


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