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On the estimation of the unknown sample size from the number of records

Author

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  • Moreno Rebollo, J. L.
  • Barranco Chamorro, I.
  • López Blázquez, F.
  • Gómez Gómez, T.

Abstract

Suppose we have observed only the number of records in a random sample of unknown size n from a continuous distribution. Based on this data, we propose an unbiased estimator of n and derive expressions for its maximum likelihood estimator and an estimator based on the method of moments.

Suggested Citation

  • Moreno Rebollo, J. L. & Barranco Chamorro, I. & López Blázquez, F. & Gómez Gómez, T., 1996. "On the estimation of the unknown sample size from the number of records," Statistics & Probability Letters, Elsevier, vol. 31(1), pages 7-12, December.
    • Handle: RePEc:eee:stapro:v:31:y:1996:i:1:p:7-12
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    Cited by:

    1. Barranco-Chamorro, I. & Moreno-Rebollo, J.L. & Jiménez-Gamero, M.D. & Alba-Fernández, M.V., 2015. "Estimation of the sample size n based on record values," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 58-72.

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