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Large deviations for estimators of the parameters of a neuronal response latency model

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  • Macci, Claudio
  • Pacchiarotti, Barbara

Abstract

We consider a model in the literature for the neuronal activity with response latency. We present large deviation results for two sequences of estimators of some unknown parameters. We also present a large deviation result for the posterior distributions in the Bayesian setting.

Suggested Citation

  • Macci, Claudio & Pacchiarotti, Barbara, 2017. "Large deviations for estimators of the parameters of a neuronal response latency model," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 65-75.
    • Handle: RePEc:eee:stapro:v:126:y:2017:i:c:p:65-75
    DOI: 10.1016/j.spl.2017.02.026
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    References listed on IDEAS

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    1. Bercu, B. & Gamboa, F. & Rouault, A., 1997. "Large deviations for quadratic forms of stationary Gaussian processes," Stochastic Processes and their Applications, Elsevier, vol. 71(1), pages 75-90, October.
    2. Florens, Danielle & Pham, Huyên, 1998. "Large deviation probabilities in estimation of Poisson random measures," Stochastic Processes and their Applications, Elsevier, vol. 76(1), pages 117-139, August.
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    Cited by:

    1. Giuseppe D’Onofrio & Claudio Macci & Enrica Pirozzi, 2018. "Asymptotic Results for First-Passage Times of Some Exponential Processes," Methodology and Computing in Applied Probability, Springer, vol. 20(4), pages 1453-1476, December.

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