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On order statistics when the sample size has a binomial distribution

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  • J. M. Buhrman

Abstract

Raghunandanan and Patil [1] derived the density function of the i‐th order statistic from a sample with random size. For the case that the size has a bionmial distribution, a simpler derivation is given below.

Suggested Citation

  • J. M. Buhrman, 1973. "On order statistics when the sample size has a binomial distribution," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 27(3), pages 125-126, September.
  • Handle: RePEc:bla:stanee:v:27:y:1973:i:3:p:125-126
    DOI: 10.1111/j.1467-9574.1973.tb00218.x
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    Cited by:

    1. Jazaa S. Al-Mutairi & Mohammad Z. Raqab, 2020. "Confidence intervals for quantiles based on samples of random sizes," Statistical Papers, Springer, vol. 61(1), pages 261-277, February.
    2. El-Adll, Magdy E., 2011. "Predicting future lifetime based on random number of three parameters Weibull distribution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(9), pages 1842-1854.
    3. Shree Khare & Keven Roy, 2021. "Quantifying the Role of Occurrence Losses in Catastrophe Excess of Loss Reinsurance Pricing," Risks, MDPI, vol. 9(3), pages 1-40, March.
    4. H. M. Barakat & E. M. Nigm & Magdy E. El-Adll & M. Yusuf, 2018. "Prediction of future generalized order statistics based on exponential distribution with random sample size," Statistical Papers, Springer, vol. 59(2), pages 605-631, June.

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