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Estimation of the sample size n based on record values

Author

Listed:
  • Barranco-Chamorro, I.
  • Moreno-Rebollo, J.L.
  • Jiménez-Gamero, M.D.
  • Alba-Fernández, M.V.

Abstract

In this paper, two new maximum likelihood methods are proposed to estimate the unknown sample size n in a simple random sample from an absolutely continuous population. These methods are based on the number of records and the record values in the sample. The use of these methods is explored through simulations. An application to a real data set is also included.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:118:y:2015:i:c:p:58-72
    DOI: 10.1016/j.matcom.2014.11.029
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    References listed on IDEAS

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    1. Masaaki Sibuya, 1988. "Log-concavity of stirling numbers and unimodality of stirling distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 40(4), pages 693-714, December.
    2. 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.
    3. Soliman, Ahmed A. & Abd Ellah, A.H. & Sultan, K.S., 2006. "Comparison of estimates using record statistics from Weibull model: Bayesian and non-Bayesian approaches," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 2065-2077, December.
    4. Bunge, J. A. & Nagaraja, H. N., 1991. "The distributions of certain record statistics from a random number of observations," Stochastic Processes and their Applications, Elsevier, vol. 38(1), pages 167-183, June.
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