References
- Eberhardt , K. R. , Mee , R. W. , Reeve , C. P. ( 1989 ). Computing factors for exact two-sided tolerance limits for a normal distribution . Commun. Statist. Simul. Computat. 18 : 397 – 413 .
- Graybill , F. A. , Wang , C. M. ( 1980 ). Confidence intervals on nonnegative linear combinations of variances . J. Amer. Statist. Assoc. 75 : 869 – 873 .
- Guo , H. , Krishnamoorthy , K. ( 2004 ). New approximate inferential methods for the reliability parameter in a stress-strength model: The normal case . Commun. Statist. Theor. Meth. 33 : 1715 – 1731 .
- Hall , I. J. ( 1984 ). Approximate one-sided tolerance limits for the difference or sum of two independent normal variates . J. Qual. Technol. 16 : 15 – 19 .
- Howe , W. G. ( 1969 ). Two-sided tolerance limits for normal populations – some improvements . J. Amer. Statist. Assoc. 64 : 610 – 620 .
- Liao , C. T. , Lin , T. Y. , Iyer , H. K. ( 2005 ). One- and two-sided tolerance intervals for general balanced mixed models and unbalanced one-way random models . Technometrics 47 : 323 – 335 .
- Mendenhall , W. ( 1983 ). Introduction to Probability and Statistics . London : Duxbury Press .
- Owen , D. B. (1964). Control of percentages in both tails of the normal distribution (Corr: V8 p. 570). Technometrics 6:377–387.
- Reiser , B. J. , Guttman , I. ( 1986 ). Statistical inference for Pr(Y < X): the normal case . Technometrics 28 : 253 – 257 .
- Wald , A. ( 1943 ). An extension of Wilks' method for setting tolerance limits . Ann. Mathemat. Statist. 14 : 45 – 55 .
- Wald , A. , Wolfowitz , J. ( 1946 ). Tolerance limits for a normal distribution . Ann. Mathemat. Statist. 17 : 208 – 215 .
- Weerahandi , S. , Johnson , R. A. ( 1992 ). Testing reliability in a stress-strength model when X and Y are normally distributed . Technometrics 34 : 83 – 91 .