极大值Ⅰ型分布变异系数的置信限
CONFIDENCE LIMITS FOR THE COEFFICIENT OF VARIATION OF LARGEST EXTREME VALUE DISTRIBUTION TYPE I
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摘要: 本文利用Weibull分布可靠度的置信限得到极大值Ⅰ型分布的变异系数δ的置信限。Abstract: Suppose r. v. X is distributed as the largest extreme value distribution type I with density function 1/σ exp -(x-μ/σ)exp -exp-(x-μ)/σ, σ>0. The coeffcient of variation of X is \delta=\frac\pi \sigma\sqrt6(\mu+\sigma r) where r is the Euler’s constant. Let X1, X2,…, Xn be an iid. sample from X. In this paper, the confidence limits for δ was obtained via the confidence limits for reliability funotion of Weibull distribution.