Showing papers by "Rahul Mukerjee published in 1997"
TL;DR: In this paper, the authors consider priors obtained by ensuring approximate frequentist validity of posterior quantiles and the posterior distribution function, and show that, at the second order of approximation, the two approaches do not necessarily lead to identical conclusions.
Abstract: SUMMARY The paper considers priors obtained by ensuring approximate frequentist validity of (a) posterior quantiles, and of (b) the posterior distribution function. It is seen that, at the second order of approximation, the two approaches do not necessarily lead to identical conclusions. Examples are given to illustrate this. The role of invariance in the context of probability matching is also discussed.
108 citations
TL;DR: In this paper, higher order power in a possibly non-iid set-up was studied for the likelihood ratio and score tests under the criteria of secondorder local maximinity and third-order local average power, respectively.
40 citations
TL;DR: In this article, it was shown that unblocked partial diallel crosses are uniquely E-optimal in general and also uniquely D- and A-optimality in the saturated case.
Abstract: Even in the absence of blocks, each cross in a partial diallel cross design can be formally identified with a 'block' of size two and thus the design itself can be identified with a binary block design. We show that unblocked partial diallel crosses, so linked with a certain class of group divisible designs, are uniquely E-optimal in general and also uniquely D- and A-optimal in the saturated case. Further results on E-optimality, applicable even when the number of parental lines does not admit a factorisation, are also derived. The issue of optimal or efficient blocking of partial diallel crosses is discussed.
34 citations