Abstract
The Kiefer-Wolfowitz approach is used to construct D-optimal designs for lifetime experiments with exponential distribution and censoring. If the expected lifetime is simply the reciprocal of the stress, then the optimal design does not depend on the unknown parameter and the censoring. However, the situation is more complicated for the more frequent assumption that the logarithm of the expected lifetime is linear in the stress. Conditions are given here where the locally D-optimal designs for experiments with censoring coincide with those in the classical approach of normally distributed errors. In particular, this is the case when the censoring variable is not too small and the slope of the regression is not too large.
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Müller, C.H. (2013). D-Optimal Designs for Lifetime Experiments with Exponential Distribution and Censoring. In: Ucinski, D., Atkinson, A., Patan, M. (eds) mODa 10 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00218-7_21
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DOI: https://doi.org/10.1007/978-3-319-00218-7_21
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