Estimation of parameters in stochastic differential equations with two random effects

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this paper we investigate consistency and asymptotic normality of the posterior distribution of the parameters in the stochastic differential equations (SDE’s) with diffusion coefficients depending nonlinearly on a random variables  and  (the random effects).The distributions of the random effects  and  depends on unknown parameters which are to be estimated from the continuous observations of the independent processes . We propose the Gaussian distribution for the random effect  and the exponential distribution for the random effect    , we obtained an explicit formula for the likelihood function and find the estimators of the unknown parameters in the random effects.

  • Keywords

    Stochastic Differential Equations; Maximum Likelihood Estimator; Nonlinear Random Effects; Posterior Consistency; Posterior Normality.

  • References

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Article ID: 5996
DOI: 10.14419/ijamr.v5i2.5996

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