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A Storage Model with Random Release Rate for Modeling Exposure to Food Contaminants

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Listed:
  • Patrice Bertail

    (Crest)

  • Stéphan Clémençon

    (Crest)

  • Jessica Tressou

    (Crest)

Abstract

This paper is devoted to present and study a specific continuoustimepiecewise-deterministic Markov process for describing the temporal evolution ofexposure to a given food contaminant. The quantity X of food contaminant presentin the body evolves through its accumulation after repeated dietary intakes on theone hand and the pharmacokinetics behavior of the chemical on the other hand. Inthe dynamic modeling considered here, the accumulation phenomenon is modeled bya simple marked point process with positive i.i.d. marks and elimination in betweenintakes occurs at a random linear rate ?X, randomness of the coefficient ? accountingfor the variability of the elimination process due to metabolic factors. Via embeddedchain analysis, ergodic properties of this extension of the standard compound Poissondam with (deterministic) linear release rate are investigated, the latter being of crucialimportance for describing the long-term behavior of the exposure process (Xt)t=0and assessing values of quantities such as the proportion of time the body burdenin contaminant is over a certain threshold. The exposure process being not directlyobservable, simulation-based statistical methods for estimating steady-state or timedependentquantities are also investigated by coupling analysis. Finally, applicationsto methylmercury contamination data are considered.

Suggested Citation

  • Patrice Bertail & Stéphan Clémençon & Jessica Tressou, 2006. "A Storage Model with Random Release Rate for Modeling Exposure to Food Contaminants," Working Papers 2006-20, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2006-20
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    References listed on IDEAS

    as
    1. Patrice Bertail & Jessica Tressou, 2006. "Incomplete Generalized U-Statistics for Food Risk Assessment," Biometrics, The International Biometric Society, vol. 62(1), pages 66-74, March.
    2. Konstantopoulos, Takis & Last, Günter, 1999. "On the use of Lyapunov function methods in renewal theory," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 165-178, January.
    3. Tressou, Jessica, 2006. "Nonparametric Modeling of the Left Censorship of Analytical Data in Food Risk Assessment," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1377-1386, December.
    Full references (including those not matched with items on IDEAS)

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