Introduction to Random Processes (Springer Texts in Electrical Engineering) - Tapa blanda

Wong, E.

 
9780387907574: Introduction to Random Processes (Springer Texts in Electrical Engineering)
Tapa blanda
ISBN 10: 0387907572 ISBN 13: 9780387907574
Editorial: Springer, 1983

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1983
Idioma
Inglés
ISBN 10 
0387907572
ISBN 13 
9780387907574
Encuadernación
Tapa blanda
Número de páginas
188
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9783540907572: Introduction to Random Processes

Edición Destacada

ISBN 10:  3540907572 ISBN 13:  9783540907572
Editorial: Springer-Verlag Berlin and Heide..., 1983
Tapa blanda