Optimal designs for inspection times of interval-censored data
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Date
2018
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Abstract
We treat optimal equidistant and optimal non-equidistant inspection
times for interval-censored data with exponential distribution.We provide
in particular a recursive formula for calculating the optimal non-equidistant
inspection times which is similar to a formula for optimal spacing of quantiles
for asymptotically best linear estimates based on order statistics. This formula
provides an upper bound for the standardized Fisher information which
is reached for the optimal non-equidistant inspection times if the number of
inspections is converging to infinity. The same upper bound is also shown for
the optimal equidistant inspection times. Since optimal equidistant inspection
times are easier to calculate and easier to handle in practice, we study the
efficiency of optimal equidistant inspection times with respect to optimal nonequidistant
inspection times. Moreover, since the optimal inspection times are
only locally optimal, we provide also some results concerning maximin efficient
designs.
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Keywords
optimal inspection times, maximin effcient designs, optimal spacing of quantiles, exponential distribution