Abstract
Characteristic functions and Laplace transforms, equi-continuity and tightness, linear projections, null arrays, Poisson convergence, positive and symmetric terms, central limit theorem, local CLT, Lindeberg condition, Gaussian convergence, weak laws of large numbers, domain of Gaussian attraction, slow variation, Helly’s selection theorem, vague and weak convergence, tightness and weak compactness, extended continuity theorem
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Kallenberg, O. (2021). Gaussian and Poisson Convergence. In: Foundations of Modern Probability . Probability Theory and Stochastic Modelling, vol 99. Springer, Cham. https://doi.org/10.1007/978-3-030-61871-1_7
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DOI: https://doi.org/10.1007/978-3-030-61871-1_7
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