Probability Theory

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This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike.

Mathematics Probability & Statistics

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877 afgedrukte pagina’s

Jaar van uitgave: 2013

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Any set of r elements chosen from a population of n elements, without regard for order, is called a subpopulation of size r of the original population. The number of such subpopulations is given by

THEOREM 1.3. A population of n elements has precisely

subpopulations of size r < n.
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The number is sometimes called the number of combinations of n things taken r at a time (without regard for order).
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Roughly speaking, the probability P(A) of the event A equals the fraction of experiments leading to the occurrence of A in a large series of trials.
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