On Choosing and Bounding Probability Metrics
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[1] Ernst Hellinger,et al. Die Orthogonalinvarianten quadratischer Formen von unendlichvielen Variabelen , 2022 .
[2] Istituto italiano degli attuari. Giornale dell'Istituto italiano degli attuari , 1930 .
[3] AN Kolmogorov-Smirnov,et al. Sulla determinazione empírica di uma legge di distribuzione , 1933 .
[4] S. Kakutani. On Equivalence of Infinite Product Measures , 1948 .
[5] C. E. SHANNON,et al. A mathematical theory of communication , 1948, MOCO.
[6] Yu. V. Prokhorov. Convergence of Random Processes and Limit Theorems in Probability Theory , 1956 .
[7] J. Linnik. An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions , 1959 .
[8] S. Kullback,et al. A lower bound for discrimination information in terms of variation (Corresp.) , 1967, IEEE Trans. Inf. Theory.
[9] R. Dudley. Distances of Probability Measures and Random Variables , 1968 .
[10] L. Cam,et al. Théorie asymptotique de la décision statistique , 1969 .
[11] S. Orey. Lecture Notes on Limit Theorems for Markov Chain Transition Probabilities , 1971 .
[12] John Wiley,et al. A wiley-interscience publication , 1972 .
[13] Lauwerens Kuipers,et al. Uniform distribution of sequences , 1974 .
[14] D. A. Edwards. On the existence of probability measures with given marginals , 1978 .
[15] R. Z. Khasʹminskiĭ,et al. Statistical estimation : asymptotic theory , 1981 .
[16] P. Diaconis,et al. Updating Subjective Probability , 1982 .
[17] A. Szulga. On Minimal Metrics in the Space of Random Variables , 1983 .
[18] E. Nummelin. General irreducible Markov chains and non-negative operators: List of symbols and notation , 1984 .
[19] V. M. Zolotarev,et al. Addendum: Probability Metrics , 1984 .
[20] L. L. Cam,et al. Asymptotic Methods In Statistical Decision Theory , 1986 .
[21] A. Barron. ENTROPY AND THE CENTRAL LIMIT THEOREM , 1986 .
[22] A. Shiryaev,et al. Limit Theorems for Stochastic Processes , 1987 .
[23] P. Diaconis,et al. Strong uniform times and finite random walks , 1987 .
[24] R. Graham,et al. Random Walks Arising in Random Number Generation , 1987 .
[25] P. Diaconis. Group representations in probability and statistics , 1988 .
[26] R. Reiss. Approximate Distributions of Order Statistics , 1989 .
[27] David Williams,et al. Probability with Martingales , 1991, Cambridge mathematical textbooks.
[28] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[29] Jim Freeman. Probability Metrics and the Stability of Stochastic Models , 1991 .
[30] T. Lindvall. Lectures on the Coupling Method , 1992 .
[31] P. Diaconis,et al. Comparison Techniques for Random Walk on Finite Groups , 1993 .
[32] B. Lindsay. Efficiency versus robustness : the case for minimum Hellinger distance and related methods , 1994 .
[33] L. Tierney. Markov Chains for Exploring Posterior Distributions , 1994 .
[34] Jeffrey S. Rosenthal,et al. Convergence Rates for Markov Chains , 1995, SIAM Rev..
[35] Walter R. Gilks,et al. Introduction to general state-space Markov chain theory , 1995 .
[36] V. V. Petrov. Limit Theorems of Probability Theory: Sequences of Independent Random Variables , 1995 .
[37] P. Diaconis,et al. LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS , 1996 .
[38] Peter Green,et al. Markov chain Monte Carlo in Practice , 1996 .
[39] Huaiyu Zhu. On Information and Sufficiency , 1997 .
[40] J. Hartigan. The maximum likelihood prior , 1998 .
[41] SU Francisedward. CONVERGENCE OF RANDOM WALKS ON THE CIRCLE GENERATED BY AN IRRATIONAL ROTATION , 1998 .
[42] Ludger Rüschendorf,et al. Distributions with fixed marginals and related topics , 1999 .
[43] V. Statulevičius,et al. Limit Theorems of Probability Theory , 2000 .
[44] Alison L. Gibbs,et al. Convergence of Markov chain Monte Carlo algorithms with applications to image restoration , 2000 .
[45] F. Su. Discrepancy Convergence for the Drunkard's Walk on the Sphere , 2001, math/0102205.
[46] Dudley,et al. Real Analysis and Probability: Measurability: Borel Isomorphism and Analytic Sets , 2002 .
[47] T. N. Sriram. Asymptotics in Statistics–Some Basic Concepts , 2002 .
[48] B. Ripley,et al. Robust Statistics , 2018, Wiley Series in Probability and Statistics.