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Estimation of the maximum and minimum in a model for bounded, dependent data

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  • Martinsek, Adam T.

Abstract

Estimation of the maximum and minimum is considered in a random coefficient autoregressive model for bounded data. Limiting distributions and confidence intervals are obtained, for nonrandom sample sizes and also for a stopping rule designed to achieve sufficient precision of the estimates.

Suggested Citation

  • Martinsek, Adam T., 2002. "Estimation of the maximum and minimum in a model for bounded, dependent data," Statistics & Probability Letters, Elsevier, vol. 56(4), pages 381-393, February.
  • Handle: RePEc:eee:stapro:v:56:y:2002:i:4:p:381-393
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    References listed on IDEAS

    as
    1. Martinsek, Adam T., 2001. "Sequential estimation of the mean in a random coefficient autoregressive model with beta marginals," Statistics & Probability Letters, Elsevier, vol. 51(1), pages 53-61, January.
    2. Ed McKenzie, 1985. "An Autoregressive Process for Beta Random Variables," Management Science, INFORMS, vol. 31(8), pages 988-997, August.
    3. Adam Martinsek, 2000. "Sequential Estimation of the Maximum in a Model for Corrosion Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(4), pages 646-657, December.
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