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One-Dimensional Stable Distributions
Abstract
This is the first book specifically devoted to a systematic exposition of the essential facts known about the properties of stable distributions. In addition to its main focus on the analytic properties of stable laws, the book also includes examples of the occurrence of stable distributions in applied problems and a chapter on the problem of statistical estimation of the parameters determining stable laws. A valuable feature of the book is the author's use of several formally different ways of expressing characteristic functions corresponding to these laws.
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Citations
Cited by
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Statistical Size Distributions in Economics and Actuarial Sciences
Kleiber, C., & Kotz, S. (2003) · Wiley Series in Probability and Statistics · doi:10.1002/0471457175 · Cited by 1,117
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Carr, P., & Wu, L. (2003) · The Journal of Finance · doi:10.1111/1540-6261.00544 · Cited by 517
Synopses for Massive Data: Samples, Histograms, Wavelets, Sketches
Cormode, G., Garofalakis, M., Haas, P. J., & Jermaine, C. (2011) · Foundations and Trends in Databases · doi:10.1561/1900000004 · Cited by 468
Metadata
- Authors
- Zolotarev, V.
- Venue
- Translations of Mathematical Monographs
- Publisher
- American Mathematical Society
- Published
- 1986-06-30
- ISSN
- 0065-9282 (ISSN-L)
- 2472-5137
- OpenAlex
- W1564609383
- Cited by
- 1,843
- References
- 0
- FWCI
- 10.28
- Type
- book
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: One-Dimensional Stable Distributions. https://app.cochat.ai/papers/10.1090/mmono/065
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- Zolotarev, V. (1986). One-Dimensional Stable Distributions. Translations of Mathematical Monographs. https://doi.org/10.1090/mmono/065
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
