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It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals structured by point processes is a novel addition to the literature on Fourier analysis of stochastic processes. It also connects the theory with recent lines of research such as biological spike signals and ultrawide-band communications.
Although the treatment is mathematically rigorous, the convivial style makes the book accessible to a large audience. In particular, it will be interesting to anyone working in electrical engineering and communications, biology (point process signals) and econometrics (arma models). Each chapter has an exercise section, which makes Fourier Analysis and Stochastic Processes suitable for a graduate course in applied mathematics, as well as for self-study.
It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals structured by point processes is a novel addition to the literature on Fourier analysis of stochastic processes. It also connects the theory with recent lines of research such as biological spike signals and ultrawide-band communications.
Although the treatment is mathematically rigorous, the convivial style makes the book accessible to a large audience. In particular, it will be interesting to anyone working in electrical engineering and communications, biology (point process signals) and econometrics (arma models). Each chapter has an exercise section, which makes Fourier Analysis and Stochastic Processes suitable for a graduate course in applied mathematics, as well as for self-study.
Pierre Brémaud obtained his Doctorate in Mathematics from the University of Paris VI and his PhD from the department of Electrical Engineering and Computer Science of the University of California at Berkeley. He is a major contributor to the theory of stochastic processes and their applications, and has authored or co-authored several reference or textbooks on the subject.
Provides a self-contained mathematically rigorous introduction to the Fourier theory of functions, probability distributions and stochastic processes
Contains applications in signal processing and time series analysis
Includes a new treatment of power spectral measures of point processes and related stochastic processes
Includes supplementary material: [...]
Fourier analysis of functions.- Fourier theory of probability distributions.- Fourier analysis of stochastic processes.- Fourier analysis of time series.- Power spectra of point processes.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Universitext |
| Inhalt: |
xiii
385 S. 2 s/w Illustr. 385 p. 2 illus. |
| ISBN-13: | 9783319095899 |
| ISBN-10: | 3319095897 |
| Sprache: | Englisch |
| Herstellernummer: | 86359370 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brémaud, Pierre |
| Hersteller: |
Springer International Publishing
Universitext |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 22 mm |
| Von/Mit: | Pierre Brémaud |
| Erscheinungsdatum: | 29.10.2014 |
| Gewicht: | 0,604 kg |
Pierre Brémaud obtained his Doctorate in Mathematics from the University of Paris VI and his PhD from the department of Electrical Engineering and Computer Science of the University of California at Berkeley. He is a major contributor to the theory of stochastic processes and their applications, and has authored or co-authored several reference or textbooks on the subject.
Provides a self-contained mathematically rigorous introduction to the Fourier theory of functions, probability distributions and stochastic processes
Contains applications in signal processing and time series analysis
Includes a new treatment of power spectral measures of point processes and related stochastic processes
Includes supplementary material: [...]
Fourier analysis of functions.- Fourier theory of probability distributions.- Fourier analysis of stochastic processes.- Fourier analysis of time series.- Power spectra of point processes.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Universitext |
| Inhalt: |
xiii
385 S. 2 s/w Illustr. 385 p. 2 illus. |
| ISBN-13: | 9783319095899 |
| ISBN-10: | 3319095897 |
| Sprache: | Englisch |
| Herstellernummer: | 86359370 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brémaud, Pierre |
| Hersteller: |
Springer International Publishing
Universitext |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 22 mm |
| Von/Mit: | Pierre Brémaud |
| Erscheinungsdatum: | 29.10.2014 |
| Gewicht: | 0,604 kg |
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