The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The One-Sided Barrier Problem for Gaussian Noise
Abstract
This paper is concerned with the probability, P[T, r(τ)], that a stationary Gaussian process with mean zero and covariance function r(τ) be nonnegative throughout a given interval of duration T. Several strict upper and lower bounds for P are given, along with some comparison theorems that relate P's for different covariance functions. Similar results are given for F[T, r(τ)], the probability distribution for the interval between two successive zeros of the process.
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Citations
Cites
A reduction formula for normal multivariate integrals
Plackett, R. L. (1954) · Biometrika · doi:10.2307/2332716 · Cited by 262
Cited by
Negative Association of Random Variables with Applications
Joag-Dev, K., & Proschan, F. (1983) · The Annals of Statistics · doi:10.1214/aos/1176346079 · Cited by 1,486
A general approach to serial correlation
Gourieroux, C., Monfort, A., & Trognon, A. (1985) · Econometric Theory · doi:10.1017/s0266466600011245 · Cited by 64
Metadata
- Authors
- Slepian, D.
- Venue
- Bell System Technical Journal
- Published
- 1962-03
- Volume
- 41
- Issue
- 2
- Pages
- 463-501
- ISSN
- 0005-8580 (ISSN-L)
- OpenAlex
- W2069754508
- Cited by
- 784
- References
- 1
- FWCI
- 7.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Slepian, D. (1962). The One-Sided Barrier Problem for Gaussian Noise. Bell System Technical Journal. https://doi.org/10.1002/j.1538-7305.1962.tb02419.x
Data sources
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.
