Tolerance limits and tolerance intervals for ratios of normal random variables using a bootstrap calibration

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Tolerance limits for a ratio of normal random variables.

The problem of deriving an upper tolerance limit for a ratio of two normally distributed random variables is addressed, when the random variables follow a bivariate normal distribution, or when they are independent normal. The derivation uses the fact that an upper tolerance limit for a random variable can be derived from a lower confidence limit for the cumulative distribution function (cdf) o...

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ژورنال

عنوان ژورنال: Biometrical Journal

سال: 2017

ISSN: 0323-3847,1521-4036

DOI: 10.1002/bimj.201600117