The Use of Sample Quasi-Ranges in Setting Confidence Intervals for the Population Standard Deviation

The problem is the determination of an optimal selection method of quasi-range for setting one-sided confidence bounds and confidence intervals for the standard deviation from a given distribution. The proposed methods of optimal selection are applied to random ordered samples from the normal, exponential and rectangular distributions. Tables of confidence bounds for the standard deviation of these distributions are given for confidence levels commonly used in statistical work. These are compared with the results of standard procedures.