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|
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References
|
|
| |
| 1. |
Vallander S. S., “Calculation of the Wasserstein distance between probability distributions on the line”, Theory of Probability & Its Applications, 18:4 (1974), 784–786   |
| 2. |
Rachev S. T., “The Monge – Kantorovich mass transference problem and its stochastic applications”, Theory of Probability & Its Applications, 29:4 (1985), 647–676  |
| 3. |
Givens C. R., Shortt R. M., “A class of Wasserstein metrics for probability distributions”, The Michigan Mathematical Journal, 31:2 (1984), 231–240 |
| 4. |
Olkin I., Pukelsheim F., “The distances between two random vectors with given dispersion matrices”, Linear Algebra and its Applications, 48 (1982), 257–263 |
| 5. |
Dowson D. C., Landau B. V., “The Fréchet distance between multivariate Normal distributions”, Journal of Multivariate Analysis, 12:3 (1982), 450–455 |
| 6. |
Cai Y., Lim L.-H., “Distances between probability distributions of different dimensions”, IEEE Transactions on Information Theory, 68:6 (2022), 4020–4031 |
| 7. |
Dwivedi A., Wang S., Tajer A., “Discriminant analysis under $f$-divergence measures”, Entropy, 24:2 (2022), 188, 26 pp. |
| 8. |
Devroye L., Mehrabian A., Reddad T., The total variation distance between high-dimensional Gaussians, 2020, 12 pp., arXiv: 1810.08693v5 |
| 9. |
Endres D. M., Schindelin J. E., “A new metric for probability distributions”, IEEE Transactions on Information Theory, 49:7 (2003), 1858–1860 |
| 10. |
Stuhl I., Suhov Y., Yasaei Sekeh S., Kelbert M., “Basic inequalities for weighted entropies”, Aequationes Mathematicae, 90:4 (2016), 817–848 |
| 11. |
Stuhl I., Kelbert M., Suhov Y., Yasaei Sekeh S., “Weighted Gaussian entropy and determinant inequalities”, Aequationes Mathematicae, 96:1 (2022), 85–114 |
