the empirical bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. it was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. a bootstrap analysis was performed to ill...

Asymptotic analysis methods for performance prediction of so-called subspace direction-of-arrival estimation methods has been developed earlier, assuming that a large-enough number of array measurements, or snapshots, is collected. This paper also addresses the problem of making performance predictions, but for beamspace-based subspace methods. The novel approach in this paper assumes the numbe...

If an acoustic field is governed by the equation V 2 u + w 2 u + u2al (x)u + V (az(x)Vu) = -S(x-y) in R and U is measured on the surface of the earth, i.e. on the plane x3 = 0 for all positions of the source y and receiver x and for all frequencies, then: (i) we show that the low frequency portion of the data determines a 2 ( x ) while the high frequency portion of the data determines ( a , -a2...

An exponential approximation for a time of the 1st loss of a call and the behaviour of a ow of lost calls for a Markov retrial state-dependent queueing system with nite capacity, operating in Markov environment and in conditions of "fast" service, is studied. The method of proof is based on the results about asymptotic behaviour of the 1st exit time from a xed subset of a semi-Markov process fo...