This book discusses diverse concepts and notions - and their
applications - concerning probability and random variables at the
intermediate to advanced level. It explains basic concepts and
results in a clearer and more complete manner than the extant
literature. In addition to a range of concepts and notions
concerning probability and random variables, the coverage includes
a number of key advanced concepts in mathematics. Readers will also
find unique results on e.g. the explicit general formula of joint
moments and the expected values of nonlinear functions for normal
random vectors. In addition, interesting applications of the step
and impulse functions in discussions on random vectors are
presented. Thanks to a wealth of examples and a total of 330
practice problems of varying difficulty, readers will have the
opportunity to significantly expand their knowledge and skills. The
book is rounded out by an extensive index, allowing readers to
quickly and easily find what they are looking for. Given its scope,
the book will appeal to all readers with a basic grasp of
probability and random variables who are looking to go one step
further. It also offers a valuable reference guide for experienced
scholars and professionals, helping them review and refine their
expertise.
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