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A Graphical Classification of Survival Distributions

In: Lifetime Data: Models in Reliability and Survival Analysis

Author

Listed:
  • Shawn S. Yu

    (Syntex Inc., Center of Biometrics
    Medical University of South Carolina, Department of Biometry and Epidemiology)

  • Eberhard O. Vorr

    (Syntex Inc., Center of Biometrics
    Medical University of South Carolina, Department of Biometry and Epidemiology)

Abstract

The S-distribution is defined in the form of a four-parameter nonlinear differential equation, with the cumulative distribution function of the survival time as the dependent variable and the survival time as the independent variable. The first parameter characterizes the location, the second the scale, and the other two the shape of the model. The S-distribution covers the logistic distribution and the exponential distribution as special cases and approximates other common survival models with rather high precision. The S-distribution is used to classify common survival distributions within a two-dimensional space in which characteristics related to the shape of the density function and the hazard function can be studied. Nonlinear regression methods are used in the classification procedure.

Suggested Citation

  • Shawn S. Yu & Eberhard O. Vorr, 1996. "A Graphical Classification of Survival Distributions," Springer Books, in: Nicholas P. Jewell & Alan C. Kimber & Mei-Ling Ting Lee & G. A. Whitmore (ed.), Lifetime Data: Models in Reliability and Survival Analysis, pages 385-392, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_50
    DOI: 10.1007/978-1-4757-5654-8_50
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