Ebook: An Introduction to Geometrical Probability - Distributional Aspects with Application

This book is intended as a reference for use by researchers in the fields
of Probability and Statistics. It may also serve as supplementary reading
for students who have already taken a good calculus-based course on Probability
Theory. A working knowledge of multivariable calculus is necessary
for following the intricate mathematical developments that are presented in
this book. Since any rigorous discussion on geometrical probability would
require the reader to have a sophisticated mathematical background (like
measure theory and integral geometry), the discussion in this book is kept
at a semi-rigorous and introductory level, so that the exposition will appeal
to a wider audience including applied researchers. The level and nature of
the discussion is kept at a pace which will make the book suitable for selfstudy.
In addition, each section includes several illustrative examples with
additional results being presented as exercises. This should facilitate the
use of the book as a text for a special topics course either at the senior
undergraduate or graduate level.
Applied researchers will find this book to be both functional and practical
through the use of a large number of problems chosen from different
disciplines. Geometrical probabilities encompass a large number of topics
which would entail a very lengthy discussion even at an introductory level.
The author, therefore, has carefully chosen some of the important topics
which would appeal to the general readership. A few topics such as packing
and covering problems which have a vast literature are introduced here at
a peripheral level for the purpose of familiarizing readers who are new to
this area of research.