alpha-stable densities are HCM for alpha ∈ ]0,1/4] and [1/3,1/2]
Abstract
We investigate the problem raised by L. Bondesson, about the hyperbolic complete monotonicity of α-stable densities. We prove that densitites of subordinators of order α are HCM for α ∈ ]0,1/4] [1/3,1/2].
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