Title: On asymptotic normality of certain linear rank statistics,
Abstract: We consider asymptotic normality of linear rank statistics under various
randomization rules met in clinical trials and designed for patients'
allocation into treatment and placebo arms. Exposition relies on some general
limit theorem due to McLeish (1974) which appears to be well suited for the
problem considered and may be employed for other similar rules undis- cussed in
the paper. Examples of applications include well known results as well as
several new ones.