Theory and Applications of Hazard Plotting for Censored Failure Data

This paper presents theory and applications of a simple graphical method, called hazard plotting, for the analysis of multiply censored life data consisting of failure times of failed units intermixed with running times on unfailed units. Applications of the method are given for multiply censored data on service life of equipment, for strength data on an item with different failure modes, and for biological data multiply censored on both sides from paired comparisons. Theory for the hazard plotting method, which is based on the hazard function of a distribution, is developed from the properties of order statistics from Type II multiply censored samples.

[1]  R. Tibshirani,et al.  An Introduction to the Bootstrap , 1995 .

[2]  James R. King,et al.  Probability Charts for Decision Making , 1981 .

[3]  R. Robertiello.  Theory and technique. , 1976, Psychoanalytic review.

[4]  Wayne Nelson,et al.  Hazard Plotting Methods for Analysis of Life Data with Different Failure Modes , 1970 .

[5]  Richard E. Barlow,et al.  A Note on Tests for Monotone Failure Rate Based on Incomplete Data , 1969 .

[6]  Wayne Nelson,et al.  Hazard Plotting for Incomplete Failure Data , 1969 .

[7]  J. C. Cluley,et al.  Probabilistic Reliability: an Engineering Approach , 1968 .

[8]  C. L. Chiang,et al.  Introduction to stochastic processes in biostatistics. , 1968 .

[9]  K. Grace,et al.  Probabilistic Reliability: An Engineering Approach , 1968 .

[10]  Otto Dykstra,et al.  Theory and Technique of Variation Research , 1965 .

[11]  W. R. Buckland,et al.  Statistical Assessment of the Life Characteristic, a Bibliographic Guide. , 1965 .

[12]  W. R. Buckland,et al.  Statistical assessment of the life characteristic : a bibliographic guide , 1965 .

[13]  W. R. Buckland,et al.  Theory and Technique of Variation Research. , 1965 .

[14]  Zakkula Govindarajulu,et al.  A Supplement to Mendenhall's Bibliography on Life Testing and Related Topics , 1964 .

[15]  Benjamin Epstein.  Statistical Assessment of the Life Characteristic (A Bibliographic Guide) , 1964 .

[16]  Sigmund J. Amster,et al.  The Statistical Treatment of Fatigue Experiments , 1964 .

[17]  A. Cohen,et al.  Progressively Censored Samples in Life Testing , 1963 .

[18]  Susumu Nagata.  QUALITY CONTROL OF DAM CONCRETE , 1962 .

[19]  J. Taylor,et al.  Censored Observations in Randomized Block Experiments , 1959 .

[20]  William Mendenhall,et al.  A BIBLIOGRAPHY ON LIFE TESTING AND RELATED TOPICS , 1958 .

[21]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[22]  J. Sherman,et al.  A Six-place Table of the Einstein Functions. , 1942 .