An inequality in the condition for improving on an equal-tails confidence interval of normal variance.

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  • Inequality in the Condition for Improvi

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Let constants c1 and c2 satisfy Pr(X2, (n0)≤c1)=Pr(X2(n0)≥c2)=α/2 and c1<c2, where X2(n0) is distributed as a chi-square distribution with degrees of freedom n0. In this paper we give a proof of the inequality n0 log (c2/c1)/(c2-c1)>1. This inequality is related with the condition for improving on an equal-tails confidence interval of normal variance.

収録刊行物

  • 日本統計学会誌

    日本統計学会誌 24 (2), 181-184, 1994

    一般社団法人 日本統計学会

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