Computation of Factors for Tolerance Limits on a Normal Distribution when the Sample is Large
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This article is published in Annals of Mathematical Statistics.The article was published on 1946-06-01 and is currently open access. It has received 20 citations till now. The article focuses on the topics: Sample (statistics) & Normal distribution.read more
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Uncertainty, calibration and probability: The statistics of scientific and industrial measurement
TL;DR: Theorems of Bernoulli and Stirling and the binomial, Poisson and hypergeometric distributions are cited as sources of uncertainty for the Gaussian distribution.
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A special case of a bivariate non-central t-distribution
TL;DR: In this paper, the authors considered the special case of probabilities of joint events associated with the pair of random variables 1Tf = (X + 81)/ Y and 2Tf= (X+ 82)/ Y, i.e. where X1 = X2 = X (or p = 1).
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Confidence and Tolerance Intervals for the Normal Distribution
TL;DR: In this article, confidence and tolerance intervals for the normal distribution are presented for the various cases of known and unknown mean and standard deviation, and the relationship between the two types of intervals is described.
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Statistical Methods of Estimating Percentiles
TL;DR: In this article, the authors discuss a problem that arises much more frequently than the mathematically precise one of Murphy and Abbey, and they have never met such a problem in connection with clinical norms and believe that such problems are few and far between.
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Tolerance Limits for a Normal Distribution
Abraham Wald,J. Wolfowitz +1 more
TL;DR: The problem of constructing tolerance limits for a normal universe is considered in this article, where the tolerance limits are required to be such that the probability is equal to a pre-assigned value (i.e., the probability that the tolerance limit includes at least a given proportion of the population).