Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2913313
Abstract: We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson $\chi ^{2}$ -distance. The results are based on proper non-uniform estimates… read more here.
Keywords: approximation applications; poisson approximation; uniform bounds; applications informational ... See more keywords
A Priori Uniform Bounds as Measure-Theoretic Tools: Long-Term Analysis via Classical-Enhanced Synthesis
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DOI: 10.3390/math13193095
Abstract: This work presents a systematic study of nonlinear differential equations within Sobolev spaces, focusing on mild solutions and their qualitative properties. An iterative reconstruction method is developed to obtain uniform a priori bounds, which ensure… read more here.
Keywords: priori uniform; theoretic tools; measure theoretic; tools long ... See more keywords