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In 1957, R.J. Buehler gave a method of constructing honest upper confidence limits for a parameter that are as small as possible subject to a pre-specified ordering restriction. In reliability theory, these 'Buehler bounds' play a central role in setting upper confidence limits for failure...
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We adopt the frequentist approach to statistical inference together with a recognition of the validity of conditional inference as described by Cox (1958). We describe a type of model which shows clearly the nature of a form of information which may be lost due to basing inference solely on a...
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