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Estimation of several characteristics of distributions of order statistics

  • Koiti Takahasi
Article

Keywords

Order Statistic Unbiased Estimate Independent Random Variable Asymptotic Normality Asymptotic Variance 
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References

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    Takahasi, K. (1970). Some nonparametric consistent estimates from censored samples,Ann. Inst. Statist. Math.,22, 413–419.MATHMathSciNetGoogle Scholar
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    Fraser, D. A. S. (1957).Nonparametric Methods in Statistics, John Wiley, New York.MATHGoogle Scholar
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    Moore, D. S. (1968). An elementary proof of asymptotic normality of linear functions of order statistics,Ann. Math. Statist., 39, 263–265.MATHMathSciNetGoogle Scholar
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    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
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    Chernoff, H. and Savage, I. R. (1958). Asymptotic normality and efficiency of certain nonparametric test statistics,Ann. Math. Statist. 29, 972–994.MathSciNetGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics 1970

Authors and Affiliations

  • Koiti Takahasi

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