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Continuous Distributions in Engineering and the Applied Sciences -- Part II (Hardcover)
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Continuous Distributions in Engineering and the Applied Sciences -- Part II (Hardcover)
Series: Synthesis Lectures on Mathematics and Statistics
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This is the second part of our book on continuous statistical
distributions. It covers inverse-Gaussian, Birnbaum-Saunders,
Pareto, Laplace, central X2, T, F, Weibull, Rayleigh, Maxwell, and
extreme value distributions. Important properties of these
distribution are documented, and most common practical applications
are discussed. This book can be used as a reference material for
graduate courses in engineering statistics, mathematical
statistics, and econometrics. Professionals and practitioners
working in various fields will also find some of the chapters to be
useful. Although an extensive literature exists on each of these
distributions, we were forced to limit the size of each chapter and
the number of references given at the end due to the publishing
plan of this book that limits its size. Nevertheless, we gratefully
acknowledge the contribution of all those authors whose names have
been left out. Some knowledge in introductory algebra and college
calculus is assumed throughout the book. Integration is extensively
used in several chapters, and many results discussed in Part I
(Chapters 1 to 9) of our book are used in this volume. Chapter 10
is on Inverse Gaussian distribution and its extensions. The
Birnbaum-Saunders distribution and its extensions along with
applications in actuarial sciences is discussed in Chapter 11.
Chapter 12 discusses Pareto distribution and its extensions. The
Laplace distribution and its applications in navigational errors is
discussed in the next chapter. This is followed by central
chi-squared distribution and its applications in statistical
inference, bioinformatics and genomics. Chapter 15 discusses
Student's T distribution, its extensions and applications in
statistical inference. The F distribution and its applications in
statistical inference appears next. Chapter 17 is on Weibull
distribution and its applications in geology and reliability
engineering. Next two chapters are on Rayleigh and Maxwell
distributions and its applications in communications, wind energy
modeling, kinetic gas theory, nuclear and thermal engineering, and
physical chemistry. The last chapter is on Gumbel distribution, its
applications in the law of rare exceedances.
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