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Estimating Survival Probability

  1. Massimiliano Giorgio1,
  2. Gianpaolo Pulcini2

Published Online: 15 FEB 2011

DOI: 10.1002/9780470400531.eorms0304

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Giorgio, M. and Pulcini, G. 2011. Estimating Survival Probability. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. 1

    Second University of Naples, Department of Aerospace and Mechanical Engineering, Aversa, Italy

  2. 2

    National Research Council (CNR), Istituto Motori, Rome, Italy

Publication History

  1. Published Online: 15 FEB 2011

Abstract

This article illustrates a number of classical nonparametric and parametric procedures for estimating the survival probability (often called the reliability function) of nonrepairable units. Both point and interval estimation procedures are discussed and some graphical methods are briefly presented. A specific attention is devoted to two frequently used distribution functions: the standard exponential and two-parameter Weibull distributions. Finally, a number of examples are given to illustrate the estimation procedures.

Keywords:

  • survival probability;
  • singly censored;
  • multiply censored;
  • likelihood function;
  • two-parameter Weibull distribution;
  • exponential distribution;
  • probability plots