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Inference in step-stress models based on failure rates

Maria Kateri () and Udo Kamps

Statistical Papers, 2015, vol. 56, issue 3, 639-660

Abstract: In step-stress modeling with the cumulative exposure model it is well known that, for underlying exponential distributions, explicit expressions can be obtained for maximum likelihood estimators of parameters as well as for their conditional density functions or conditional moment generation functions, given their existence. Applying a failure rate based approach instead, similar results can be also obtained for underlying lifetime distributions out of a general scale family of distributions, which allows for a flexible modeling. Exemplarily, respective results are presented for Type-I and Type-II censored experiments. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Maximum likelihood estimation; Link function; Exponential distribution; Scale family of distributions (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00362-014-0601-y

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