A note on the infinite divisibility of a class of transformations of normal variables
Antonio Murillo-Salas, Francisco J. Rubio
Abstract
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Antonio Murillo-Salas, Francisco J. Rubio
Abstract
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This note examines the infinite divisibility of density-based transformations of normal random variables. We characterize a class of density-based transformations of normal variables which produces non-infinitely divisible distributions. We relate our result with some known skewing mechanisms.
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This note examines the infinite divisibility of density-based transformations of normal random variables. We characterize a class of density-based transformations of normal variables which produces non-infinitely divisible distributions. We relate our result with some known skewing mechanisms.
Key concepts: Infinite divisibility, Divisibility rule, Class (philosophy), Mathematics, Random variable, Pure mathematics, Statistical physics, Statistics