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Total variation distance and the distribution of relative information
2014 Information Theory and Applications Workshop (ITA), 2014We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed accorκding to P and Q respectively.
Sérgio Verdú
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Dynamic programming with total variational distance uncertainty
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012The aim of this paper is to address optimality of stochastic control strategies via dynamic programming subject to total variational distance uncertainty on the conditional distribution of the controlled process. Utilizing concepts from signed measures, the maximization of a linear functional on the space of probability measures on abstract spaces is ...
Charalambous, Charalambos D. +5 more
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Wasserstein and total variation distance between marginals of Lévy processes
Electronic Journal of Statistics, 2018 32 pages.
Ester Mariucci, Markus Reiss
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Testing for scale families using total variation distance
Journal of Statistical Computation and Simulation, 2006Total variation distance is used to make inferences about scale families. We examine the distribution of the test statistic for both large and small samples and show that, for large samples, the test statistic converges to a half normal distribution.
Sneh Gulati, Jie Mi
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Convergence in total variation distance for (in)homogeneous Markov processes
Statistics & Probability Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mao, Yong-Hua +3 more
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Local probabilities and total variation distance for random permutations
The Ramanujan Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eugenijus Manstavičius +1 more
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Total Variation Distance and Improved Random Coding Union Bounds
2019 IEEE Global Communications Conference (GLOBECOM), 2019This paper presents two new upper bounds on the probability of error for maximum likelihood decoding in the finite blocklength regime. The first bound applies to fixed channel codes and uses the well-known union bound to express the probability of decoding error in terms of the total variation distance between the conditional transition probabilities ...
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The distribution of total variation distance, with applications to simultaneous confidence intervals
Computers & Operations Research, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact Evaluation of Total Variation Distance in Covert Communications
2021 International Conference on Networking and Network Applications (NaNA), 2021Ahmed Salem 0003 +2 more
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Lipschitz Variational Approximation of Total Variation Distance
International Conference on Statistics: Theory and Applications, 2023openaire +1 more source