Title :
Distribution of a Life Ratio and Its Application
Author :
Hosono, Y. ; Ohta, H. ; Kase, S.
Author_Institution :
Dept. of Industrial Engineering; Musashi Institute of Technology; Tamazutsumi, Setagaya-ku, Tokyo 158 JAPAN.
Abstract :
This paper consists of two parts, both of which are concerned with a ratio of two lives from life test data. Part 1 derives an exact distribution of the quotient of two random variables, each of which follows the truncated extreme-value distribution. Then graph of the cumulative distribution function is given for several values of a parameter. Part 2 develops a control chart for sample ratios to be used in controlling the deterioration of quality characteristics having an extreme-value distribution.
Keywords :
Centralized control; Computer errors; Control charts; Distribution functions; Error correction; Life testing; Random variables; Shape; Statistical analysis; Statistical distributions; Control chart; Life ratio; Life test data; Nomogram; Truncated extreme-value distribution;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1982.5221379
