Introduction to Random Processes

Name: Introduction to Random Processes
Brand: Springer, Berlin
SKU: 9780387907574
Price: 52.83 EUR
Availability: InStock

Автор: E. Wong, J.B. Thomas

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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For most people, intuitive notions concerning probabilities are connected with relative frequencies...

Информация за книгата

Автор

E. Wong, J.B. Thomas

Език

Английски език

Корици

Книга - С меки корици

Издадена

2013

страници

176

EAN

9780387907574

ISBN

0387907572

Enbook ID

01383749

Издател

Springer, Berlin

Теглоt

265

Размери

155 x 233 x 9

Пълно описание

For most people, intuitive notions concerning probabilities are connected with relative frequencies of occurrence. For example, when we say that in toss ing a coin, the probability of its coming up "heads" is 1/2, we usually mean that in a large number of tosses, about 1/2 of the tosses will come up heads. Unfortunately, relative frequency of occurrence has proved to be an unsatis factory starting point in defining probability. Although there have been attempts to make frequency of occurrence part of the axiomatic structure of probability theory, the currently accepted formu1ation is one based on measure theory due to Ko1mogorov. In this formulation frequency of occurrence is an interpretation for probability rather than adefinition. This inter pretation is justified under suitab1e conditions by the 1aw of 1arge numbers. The starting point of probability theory is usua11y taken to be an experi ment the outcome of which is not fixed apriori. Some fami1iar examples inc1ude tossing a die, observation of a noise vo1tage at a fixed time, the error in measuring a physica1 parameter, and the exact touchdown time of an aircraft. Let ~ denote the set of all possib1e outcomes of an experiment. For examp1e, for the experiment of tossing one die, ~ = {1, 2, 3, 4, 5, 6}, whi1e for the touchdown time of an aircraft, ~ might be chosen to be 0 ~ t 00. We note that for a given experiment on1y one outcome is ever observed.

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Introduction to Random Processes

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