• DocumentCode
    1349297
  • 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.
  • Issue
    4
  • fYear
    1982
  • Firstpage
    373
  • Lastpage
    375
  • 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;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1982.5221379
  • Filename
    5221379