Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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STATISTICAL EVIDENCE METHODOLOGY FOR MODEL ACCEPTANCE BASED ON RECORD VALUES

  • Doostparast M. (Department of Statistics, Ferdowsi University of Mashhad) ;
  • Emadi M. (Department of Statistics, Ferdowsi University of Mashhad)
  • Published : 2006.06.01
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Abstract

An important role of statistical analysis in science is interpreting observed data as evidence, that is 'what do the data say?'. Although standard statistical methods (hypothesis testing, estimation, confidence intervals) are routinely used for this purpose, the theory behind those methods contains no defined concept of evidence and no answer to the basic question 'when is it correct to say that a given body of data represent evidence supporting one statistical hypothesis against another?' (Royall, 1997). In this article, we use likelihood ratios to measure evidence provided by record values in favor of a hypothesis and against an alternative. This hypothesis is concerned on mean of an exponential model and prediction of future record values.

Keywords

References

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