EAN: 9783030969318

SPRINGERBRIEFS IN STATISTICS LECTURES ON DEPE...

This short book elaborates on selected aspects of stochastic-statistical dependencies in
multivariate statistics. Each chapter provides a rigorous and self-contained treatment of one
specific topic  poses a particular problem within its scope  and concludes by presenting its
solution. The presented problems are not only relevant for research in mathematical statistics
but also entertaining  with elegant proofs and appealing solutions. The chapters cover
correlation coefficients of bivariate normal distributions  empirical likelihood ratio tests
for the population correlation  the rearrangement algorithm  covariances of order statistics 
equi-correlation matrices  skew-normal distributions and the weighted bootstrap. This book is
primarily intended for early-career researchers in mathematical statistics  but will also be
interesting for lecturers in the field. Its goal is to rouse the reader's interest  further
their knowledge of the subject and provide them with some useful mathematical techniques.

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