Expansions for the Density of the Absolute Value of a Strictly Stable Vector

DOI10.1214/AOMS/1177692651zbMath0238.60009OpenAlexW2103186492MaRDI QIDQ5649154

Bert E. Fristedt

Publication date: 1972

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177692651

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

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The asymptotics of stable measures on \(\mathbb R^n\) for small values of the exponent ⋮ Variations of processes with stationary, independent increments ⋮ Infinitely divisible and stable laws in separable Banach spaces. II ⋮ Nonuniform estimate of rate of convergence to stable laws in certain Banach spaces ⋮ On two approaches to approximation of multidimensional stable laws ⋮ New large-deviation local theorems for sums of independent and identically distributed random vectors when the limit distribution is \(\alpha\)-stable ⋮ Asymptotes of multidimensional stable distributions relative to parameter a ⋮ Nonuniform estimate of the rate of convergence to a stable law in the multidimensional central limit theorem ⋮ More on \(P\)-stable convex sets in Banach spaces

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