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Discrete Distributions in Engineering and the Applied Sciences (Paperback)
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Discrete Distributions in Engineering and the Applied Sciences (Paperback)
Series: Synthesis Lectures on Mathematics & Statistics
Expected to ship within 10 - 15 working days
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This is an introductory book on discrete statistical distributions
and its applications. It discusses only those that are widely used
in the applications of probability and statistics in everyday life.
The purpose is to give a self-contained introduction to classical
discrete distributions in statistics. Instead of compiling the
important formulas (which are available in many other textbooks),
we focus on important applications of each distribution in various
applied fields like bioinformatics, genomics, ecology, electronics,
epidemiology, management, reliability, etc., making this book an
indispensable resource for researchers and practitioners in several
scientific fields. Examples are drawn from different fields. An
up-to-date reference appears at the end of the book. Chapter 1
introduces the basic concepts on random variables, and gives a
simple method to find the mean deviation (MD) of discrete
distributions. The Bernoulli and binomial distributions are
discussed in detail in Chapter 2. A short chapter on discrete
uniform distribution appears next. The next two chapters are on
geometric and negative binomial distributions. Chapter 6 discusses
the Poisson distribution in-depth, including applications in
various fields. Chapter 7 is on hypergeometric distribution. As
most textbooks in the market either do not discuss, or contain only
brief description of the negative hypergeometric distribution, we
have included an entire chapter on it. A short chapter on
logarithmic series distribution follows it, in which a theorem to
find the kth moment of logarithmic distribution using (k-1)th
moment of zero-truncated geometric distribution is presented. The
last chapter is on multinomial distribution and its applications.
The primary users of this book are professionals and practitioners
in various fields of engineering and the applied sciences. It will
also be of use to graduate students in statistics, research
scholars in science disciplines, and teachers of statistics,
biostatistics, biotechnology, education, and psychology.
General
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