Multivariate Characteristic and Correlation Functions / / Zoltán Sasvári.
In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on character...
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| Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
|---|---|
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2013 |
| Year of Publication: | 2013 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
50 |
| Online Access: | |
| Physical Description: | 1 online resource (366 p.) |
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| 100 | 1 | |a Sasvári, Zoltán, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Multivariate Characteristic and Correlation Functions / |c Zoltán Sasvári. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (366 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 50 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Chapter 1. Characteristic functions -- |t Chapter 2. Correlation functions -- |t Chapter 3. Special properties -- |t Chapter 4. The extension problem -- |t Chapter 5. Selected applications -- |t Appendix A. Basic notation -- |t Appendix B. Basic analysis -- |t Appendix C. Advanced analysis -- |t Appendix D. Functional analysis -- |t Appendix E. Measure theory -- |t Appendix F. Probability -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Characteristic functions. | |
| 650 | 0 | |a Correlation (Statistics). | |
| 650 | 0 | |a Multivariate analysis. | |
| 650 | 0 | |a Variables (Mathematics). | |
| 650 | 4 | |a Fouriertransformation. | |
| 650 | 4 | |a Wahrscheinlichkeitsverteilung. | |
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General. |2 bisacsh | |
| 653 | |a Characteristic Functions. | ||
| 653 | |a Fourier Transform. | ||
| 653 | |a Moment Problem. | ||
| 653 | |a Probability Distribution. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Studies in Mathematics eBook-Package |z 9783110494938 |o ZDB-23-GSM |
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| 776 | 0 | |c print |z 9783110223989 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110223996 |
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