# Infinite divisibility

Known as: Infinitely divisible, Infinitely divisible distributions, Infinitely divisible probability distributions
Infinite divisibility arises in different ways in philosophy, physics, economics, order theory (a branch of mathematics), and probability theory… (More)
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## Papers overview

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2014
2014
• IEEE Transactions on Information Theory
• 2014
We adopt an innovation-driven framework and investigate the sparse/compressible distributions obtained by linearly measuring or… (More)
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2014
2014
• IEEE Transactions on Signal Processing
• 2014
A new shrinkage-based construction is developed for a compressible vector \mmb x ∈ \BBRn, for cases in which the components of… (More)
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2013
2013
Abstract This paper is concerned with the distribution properties of the binomial aX + bXα, where X is a gamma random variable… (More)
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2011
2011
Using an approach based, amongst other things, on Proposition 1 of Kaluza (1928), Goldie (1967) and, using a different approach… (More)
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2010
2010
We prove that the q-Gaussian distribution is freely infinitely divisible for all q ∈ [0, 1].
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2008
2008
Given an arithmetical function f , by f(a, b) and f [a, b] we denote the function f evaluated at the greatest common divisor (a… (More)
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Highly Cited
2007
Highly Cited
2007
Corrections are made to formulations and proofs of some theorems about convolution equivalence closure for random sum… (More)
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2006
2006
• By R. Averkamp
• 2006
where ‖ · ‖2 is the Euclidean norm. Thus the risk of the estimator x + g(x) can be estimated unbiasedly by nσ+g(x)+2σ ∑n i=1 ∂gi… (More)
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2006
2006
We define a notion of approximate sufficiency and approximate ancillarity and show that such statistics are approximately… (More)
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Highly Cited
2002
Highly Cited
2002
We define a large class of multifractal random measures and processes with arbitrary loginfinitely divisible exact or asymptotic… (More)
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