Our first theorem states that the convolution of two symmetric densities which are k-monotone on (0,∞) is again (symmetric) k-monotone provided 0 < k ≤ 1. We then apply this result, together with an extremality approach, to derive sharp moment and exponential bounds for distributions having such shape constrained densities
14 pagesRecently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone in...
This paper is concerned with the class of distributions, continuous or discrete, whose shape is mono...
This article is focused on properties of monotone convolutions. A criterion for infinite divisibilit...
If a probability density p(x) (x ∈ ℝk) is bounded and R(t) := ∫e〈x, tu〉p(x)dx < ∞ for some linear...
AbstractA variety of convolution inequalities have been obtained since Anderson's theorem. ?In this ...
The classes of monotone or convex (and necessarily monotone) densities on inline image can be viewed...
The k-monotone classes of densities defined on (0,∞) have been known in the mathematical literature ...
The k-monotone classes of densities defined on (0,∞) have been known in the mathematical literature ...
Sharp tail bounds for the sum of d random variables with given marginal distributions and arbitrary ...
It has been known for some time that extremal $\alpha$ stable variables ($S_{\alpha}$) are Genera...
In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3]...
International audienceIn this paper we study the behaviour of convolution powers of probability meas...
AbstractGiven that r and s are natural numbers and X∼Binomial(r,q) and Y∼Binomial(s,p) are independe...
In this thesis, we use martingales to show that the dilation of a sequence of monotone convolutions ...
L.Bondesson [1] conjectured that the density of a positive α-stable distribution is hyperbolically c...
14 pagesRecently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone in...
This paper is concerned with the class of distributions, continuous or discrete, whose shape is mono...
This article is focused on properties of monotone convolutions. A criterion for infinite divisibilit...
If a probability density p(x) (x ∈ ℝk) is bounded and R(t) := ∫e〈x, tu〉p(x)dx < ∞ for some linear...
AbstractA variety of convolution inequalities have been obtained since Anderson's theorem. ?In this ...
The classes of monotone or convex (and necessarily monotone) densities on inline image can be viewed...
The k-monotone classes of densities defined on (0,∞) have been known in the mathematical literature ...
The k-monotone classes of densities defined on (0,∞) have been known in the mathematical literature ...
Sharp tail bounds for the sum of d random variables with given marginal distributions and arbitrary ...
It has been known for some time that extremal $\alpha$ stable variables ($S_{\alpha}$) are Genera...
In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3]...
International audienceIn this paper we study the behaviour of convolution powers of probability meas...
AbstractGiven that r and s are natural numbers and X∼Binomial(r,q) and Y∼Binomial(s,p) are independe...
In this thesis, we use martingales to show that the dilation of a sequence of monotone convolutions ...
L.Bondesson [1] conjectured that the density of a positive α-stable distribution is hyperbolically c...
14 pagesRecently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone in...
This paper is concerned with the class of distributions, continuous or discrete, whose shape is mono...
This article is focused on properties of monotone convolutions. A criterion for infinite divisibilit...
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