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The Distribution of the Determinant of a Complex Wishart Distributed Matrix
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“As predicted by an exact analytical bias expression valid for N > 3d,80,81 the joint information bias depends only on N and d but is independent of the information level (Figure 2B, right).”
From Sampling bias corrections for discrete and Gaussian partial information decompositions (2026) · cites this paper as [81]
In the citing paper
“In the Gaussian case, an exact expression is available81 for the mutual information bias, which grows steeply and supralinearly when increasing the dimension d of sources and targets and decreases when increasing N (Figure S14).”
From Sampling bias corrections for discrete and Gaussian partial information decompositions (2026) · cites this paper as [81]
In the citing paper
“We chose it to replace the QE (used in the discrete PID) for the Gaussian PID, as we verified that QE does not work well for the Gaussian information because its bias is non-polynomial.81”
From Sampling bias corrections for discrete and Gaussian partial information decompositions (2026) · cites this paper as [81]
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Research works printed but not linked: 1
- [1][1] GooDmMAN, N. R. (1957). On the Joint Estimation of the Spectra, Cospectrum and Quadrature Spectrum of a Two-Dimensional Stationary Gaussian Process. Scientific Paper No. 10, Engineering Statistics Laboratory, New York University. (Also Ph.D. Dissertation, Princeton University. Copies may be obtained by writing to the Office of Scientific and Engineering Relations (Reprints), Space Technology Laboratories, Inc., P.O. Box 95001, Los Angeles 45, California.) -
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Sampling bias corrections for discrete and Gaussian partial information decompositions
Lorenz, G. M., Engel, N. M., Koçillari, L., Celotto, M., Orsenigo, D., Curreli, S., Malerba, S. B., Engel, A. K., Kayser, C., Fellin, T., et al. (2026) · Patterns · doi:10.1016/j.patter.2026.101619 · Cited by 9
Metadata
- Authors
- Goodman, N. R.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1963-03
- Volume
- 34
- Issue
- 1
- Pages
- 178-180
- ISSN
- 0003-4851
- Cited by
- 136
- References
- 0
- Language
- en
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- The paper
- Goodman, N. R. (1963). The Distribution of the Determinant of a Complex Wishart Distributed Matrix. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177704251
