Advances in Degradation Modeling

Part of the series Statistics for Industry and Technology pp 397-414


Probability Plotting with Independent Competing Risks

  • Francis G. PascualAffiliated withDepartment of Statistics, Washington State University
  • , Christopher GastAffiliated withAxio Research Acquisition Co. LLC

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In this chapter, we discuss probability plotting for competing risk data in the presence of Type I or right censoring. The construction of probability plots is based on the linearization of the cumulative distribution function of the first-order statistic. We consider the case when risks are independent. We describe procedures for constructing pointwise confidence intervals based on large-sample properties of maximum likelihood estimators. The proposed method is compared with traditional probability plotting that assumes that causes of failure can be eliminated.

Keywords and phrases

Competing risks maximum likelihood estimation probability plotting right censoring