Choosing the most efficient statistical test is one of the basic problems of statistics.
Asymptotic efficiency is an indispensable technique for comparing and ordering statistical …

We study the lower bounds of efficiency for the moderate deviation probabilities of tests and
estimators. These bounds cover both the logarithmic and strong asymptotics. For the …

Hotelling's T 2 tests in paired and independent survey samples are compared using the
traditional asymptotic efficiency concepts of Hodges–Lehmann, Bahadur and Pitman, as …

The paper deals with the asymptotic behaviour of estimators, statistical tests and confidence
intervals for L^ 2 L 2-distances to uniformity based on the empirical distribution function, the …

Recently, we have shown that the Hajek-Le Cam lower bound for asymptotic efficiency in
estimation and the lower bound for the Pitman efficiency in hypothesis testing can be …

For the problem of signal detection in Gaussian white noise, we obtain lower bounds for the
asymptotics of moderate deviation probabilities of type I and type II errors. These …

Linear rank statistics for the two-sample problem are considered. Under general conditions
on the score function and the distribution of the observations large deviation asymptotics for …

A RELATION BETWEEN THE CHERNOFF INDEX AND THE PITMAN EFFICACY lim t log (P,(e)
+h,) = -e(e). (1.2) e(e)=i(ee,)‘2(1+0(1)}. Page 1 Statistics & Probability Letters 9 (1990) 391-395 …

Zusammenfassung Es werden Effizienzbegriffe zum Vergleich von statistischen Tests
basierend auf verschiedenen statistischen Experimenten eingeführt. Dabei handelt es sich …

Researchers are often interested in comparing a set of competing treatments. This type of
inference falls under the heading of subset selection or multiple comparisons. In the one …