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- W2090875431 abstract "Convergence in Mallows distance is of particular interest when heavy-tailed distributions are considered. For 1≤α<2, it constitutes an alternative technique to derive Central Limit type theorems for non-Gaussian α-stable laws. In this note, for properly stabilized martingale sums and sequences of ϕ-mixing random variables, we establish Mallows convergence to stable laws. Sufficient conditions are presented in the setting of familiar Lindeberg-like conditions and extend earlier results for the independent case." @default.
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- W2090875431 date "2010-07-01" @default.
- W2090875431 modified "2023-10-14" @default.
- W2090875431 title "Convergence to stable laws in Mallows distance for mixing sequences of random variables" @default.
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- W2090875431 doi "https://doi.org/10.1214/09-bjps026" @default.
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