A Modified Chi‐squared Approach for Fitting WEIBULL Models to Synthetic Life Tables1

Daniel H. Freeman, Jean L. Freeman, Gary G. Koch

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

WEIBULL models are fitted to synthetic life table data by applying weighted least squares analysis to log log functions which are constructed from appropriate underlying contingency tables. As such, the resulting estimates and test statistics are based on the linearized minimum modified X21‐criterion and thus have satisfactory properties in moderately large samples. The basic methodology is illustrated in terms of an example which is bivariate in the sense of involving two simultaneous, but non‐competing, vital events. For this situation, the estimation of WEIBULL model parameters is described for both marginal as well as certain conditional distributions either individually or jointly.

Original languageEnglish (US)
Pages (from-to)29-40
Number of pages12
JournalBiometrical Journal
Volume20
Issue number1
DOIs
StatePublished - 1978

Keywords

  • Weighted least squares
  • bivariate WEIBULL model
  • cross sectional analysis
  • respiratory data analysis

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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