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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Poisson Approximation (Hardcover)
Loot Price: R4,981
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Poisson Approximation (Hardcover)
Series: Oxford Studies in Probability, 2
Expected to ship within 12 - 17 working days
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The Poisson "law of small numbers" is a central principle in modern
theories of reliability, insurance, and the statistics of extremes.
It also has ramifications in apparently unrelated areas, such as
the description of algebraic and combinatorial structures, and the
distribution of prime numbers. Yet despite its importance, the law
of small numbers is only an approximation. In 1975, however, a new
technique was introduced, the Stein-Chen method, which makes it
possible to estimate the accuracy of the approximation in a wide
range of situations. This book provides an introduction to the
method, and a varied selection of examples of its application,
emphasizing the flexibility of the technique when combined with a
judicious choice of coupling. It also contains more advanced
material, in particular on compound Poisson and Poisson process
approximation, where the reader is brought to the boundaries of
current knowledge. The study will be of special interest to
postgraduate students and researchers in applied probability as
well as computer scientists.
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