Bounds for the Rate of Convergence in the Generalized Rényi Theorem
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- Grandell, Jan, 2000. "Simple approximations of ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 157-173, May.
- Kozubowski, Tomasz J., 1998. "Mixture representation of Linnik distribution revisited," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 157-160, June.
- Victor Korolev, 2020. "Some Properties of Univariate and Multivariate Exponential Power Distributions and Related Topics," Mathematics, MDPI, vol. 8(11), pages 1-27, November.
- Irina Shevtsova & Mikhail Tselishchev, 2020. "A Generalized Equilibrium Transform with Application to Error Bounds in the Rényi Theorem with No Support Constraints," Mathematics, MDPI, vol. 8(4), pages 1-21, April.
- Korolev, Victor & Zeifman, Alexander, 2021. "Bounds for convergence rate in laws of large numbers for mixed Poisson random sums," Statistics & Probability Letters, Elsevier, vol. 168(C).
- Victor Korolev & Andrey Gorshenin, 2020. "Probability Models and Statistical Tests for Extreme Precipitation Based on Generalized Negative Binomial Distributions," Mathematics, MDPI, vol. 8(4), pages 1-30, April.
- Yury Khokhlov & Victor Korolev & Alexander Zeifman, 2020. "Multivariate Scale-Mixed Stable Distributions and Related Limit Theorems," Mathematics, MDPI, vol. 8(5), pages 1-29, May.
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Keywords
Rényi theorem; law of large numbers; convergence rate; Zolotarev zeta-metric; geometric random sum; mixed Poisson random sum; convergence rate bound; mixed exponential distribution; geometric stability;All these keywords.
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