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On the optimum spacing of sample quantiles from a normal distribution. Part I
Authors:Gunnar Kulldorff
Abstract:Abstract

Assume that a large number of observations are made on a normal random variable with the density function  id= where σ σ 0, When the sample is very large the ordinary estimates of µ and a involve considerable computational work. In order to simplify the estimation of µ and/or σ it is sometimes convenient to select a small number of sample quantiles and to use estimates which are linear functions of these sample quantiles, Such a procedure is particularly convenient when the observations occur naturally in order of magnitude, which happens in life testing, for instance, Let  id=
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