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Books > Science & Mathematics > Mathematics > Probability & statistics
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Discrete q-Distributions (Hardcover)
Loot Price: R2,598
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Discrete q-Distributions (Hardcover)
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A self-contained study of the various applications and developments
of discrete distribution theory Written by a well-known researcher
in the field, Discrete q-Distributions features an organized
presentation of discrete q-distributions based on the stochastic
model of a sequence of independent Bernoulli trials. In an effort
to keep the book self-contained, the author covers all of the
necessary basic q-sequences and q-functions. The book begins with
an introduction of the notions of a q-power, a q-factorial, and a
q-binomial coefficient and proceeds to discuss the basic
q-combinatorics and q-hypergeometric series. Next, the book
addresses discrete q-distributions with success probability at a
trial varying geometrically, with rate q, either with the number of
previous trials or with the number of previous successes. Further,
the book examines two interesting stochastic models with success
probability at any trial varying geometrically both with the number
of trials and the number of successes and presents local and global
limit theorems. Discrete q-Distributions also features: *
Discussions of the definitions and theorems that highlight key
concepts and results * Several worked examples that illustrate the
applications of the presented theory * Numerous exercises at
varying levels of difficulty that consolidate the concepts and
results as well as complement, extend, or generalize the results *
Detailed hints and answers to all the exercises in an appendix to
help less-experienced readers gain a better understanding of the
content * An up-to-date bibliography that includes the latest
trends and advances in the field and provides a collective source
for further research * An Instructor s Solutions Manual available
on a companion website A unique reference for researchers and
practitioners in statistics, mathematics, physics, engineering, and
other applied sciences, Discrete q-Distributions is also an
appropriate textbook for graduate-level courses in discrete
statistical distributions, distribution theory, and combinatorics.
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