| Main directions in the theory of probability metrics |
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| Probability distances and probability metrics: Definitions |
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| Primary, simple and compound probability distances, and minimal and maximal distances and norms |
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| A structural classification of probability distances.-Monge-Kantorovich mass transference problem, minimal distances and minimal norms |
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| Quantitative relationships between minimal distances and minimal norms |
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| K-Minimal metrics |
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| Relations between minimal and maximal distances |
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| Moment problems related to the theory of probability metrics: Relations between compound and primary distances |
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| Moment distances |
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| Uniformity in weak and vague convergence |
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| Glivenko-Cantelli theorem and Bernstein-Kantorovich invariance principle |
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| Stability of queueing systems.-Optimal quality usage |
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| Ideal metrics with respect to summation scheme for i.i.d. random variables |
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| Ideal metrics and rate of convergence in the CLT for random motions |
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| Applications of ideal metrics for sums of i.i.d. random variables to the problems of stability and approximation in risk theory |
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| How close are the individual and collective models in risk theory?- Ideal metric with respect to maxima scheme of i.i.d. random elements |
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| Ideal metrics and stability of characterizations of probability distributions |
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| Positive and negative de nite kernels and their properties |
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| Negative definite kernels and metrics: Recovering measures from potential |
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| Statistical estimates obtained by the minimal distances method |
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| Some statistical tests based on N-distances |
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| Distances defined by zonoids |
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| N-distance tests of uniformity on the hypersphere.- |
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| Main directions in the theory of probability metrics |
|
| Probability distances and probability metrics: Definitions |
|
| Primary, simple and compound probability distances, and minimal and maximal distances and norms |
|
| A structural classification of probability distances.-Monge-Kantorovich mass transference problem, minimal distances and minimal norms |
|
| Quantitative relationships between minimal distances and minimal norms |
|
| K-Minimal metrics |
|
