论文信息 - PARAMETER-FREE AND NONPARAMETRIC TOLERANCE LIMITS: THE EXPONENTIAL CASE.

PARAMETER-FREE AND NONPARAMETRIC TOLERANCE LIMITS: THE EXPONENTIAL CASE.

Exact parameter-free tolerance intervals based on the first r ordered observations from a sample of size n from an exponential distribution are developed. Various criteria for goodness of tolerance intervals are examined, and certain optimum properties of these intervals are demonstrated. The asymptotic behavior of these intervals is studied. Comparisons are made between these intervals and nonparametric tolerance intervals. Finally, the effect of assuming an exponential distribution, when in fact the distribution is a mixture of two exponentials, is discussed briefly.

L. A. Goodman | A. Madansky

[1] I. Guttman. Optimum Tolerance Regions and Power When Sampling From Some Non-Normal Universes , 1959 .

[2] K. V. Ramachandran. A Test of Variances , 1958 .

[3] C. C. Craig,et al. Tables for Obtaining Non-parametric Tolerance Limits , 1958 .

[4] D. Fraser. Nonparametric methods in statistics , 1957 .

[5] D. J. Davis,et al. AN ANALYSIS OF SOME FAILURE DATA , 1952 .

[6] G. E. Noether. On a Connection Between Confidence and Tolerance Intervals , 1951 .

[7] R. B. Murphy. Non-Parametric Tolerance Limits , 1948 .

[8] G. E. Noether. On Confidence Limits for Quantiles , 1948 .

[9] J. Wolfowitz,et al. Tolerance Limits for a Normal Distribution , 1946 .

[10] Abraham Wald,et al. Setting of Tolerance Limits When the Sample is Large , 1942 .

[11] S. S. Wilks. Determination of Sample Sizes for Setting Tolerance Limits , 1941 .

[12] S. S. Wilks. Shortest Average Confidence Intervals from Large Samples , 1938 .

[13] W Wallis,et al. Tolerance Intervals for Linear Regression , 1951 .