Estimation of several characteristics of distributions of order statistics

  • Koiti Takahasi


Order Statistic Unbiased Estimate Independent Random Variable Asymptotic Normality Asymptotic Variance 


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  1. [1]
    Takahasi, K. (1970). Some nonparametric consistent estimates from censored samples,Ann. Inst. Statist. Math.,22, 413–419.MATHMathSciNetGoogle Scholar
  2. [2]
    Fraser, D. A. S. (1957).Nonparametric Methods in Statistics, John Wiley, New York.MATHGoogle Scholar
  3. [3]
    Moore, D. S. (1968). An elementary proof of asymptotic normality of linear functions of order statistics,Ann. Math. Statist., 39, 263–265.MATHMathSciNetGoogle Scholar
  4. [4]
    Chernoff, H., Gastwirth, J. L. and Johns, M. V. (1967). Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation,Ann. Math. Statist.,38, 52–72.MATHMathSciNetGoogle Scholar
  5. [5]
    Chernoff, H. and Savage, I. R. (1958). Asymptotic normality and efficiency of certain nonparametric test statistics,Ann. Math. Statist. 29, 972–994.MathSciNetGoogle Scholar

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© The Institute of Statistical Mathematics 1970

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  • Koiti Takahasi

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