Add to ORKGAbstract. In this paper we introduce new distributions which are solutions of higher-order Laplace equations. It is proved that their densities can be obtained by folding and symmetrizing Cauchy distributions. Another class of probability laws related to higher-order Laplace equations is obtained by composing pseudo-processes with positively-skewed stable distributions which produce asymmetric Cauchy densities in the odd-order case. A special at-tention is devoted to the third-order Laplace equation where the connection between the Cauchy distribution and the Airy functions is obtained and ana-lyzed
this paper see http://www.math.yorku.ca/Who/Faculty/AWong/research.html. First we express the log de...
A new three-parameter family of distributions on the positive numbers is proposed. It includes the s...
In this article, we construct pseudo random walks (symmetric and asymmetric) that converge in law to...
AbstractThe conditional Feynman–Kac functional is used to derive the Laplace transforms of condition...
For processes $X(t),t>0$ governed by signed measures whose density is the fundamental solution of th...
The Laplace distribution is one of the earliest distributions in probability theory. For the first t...
Using the Laplace transform technique, we investigate the generalized solutions of the third-order C...
An interesting class of continuous distributions, called Cauchy-type mixture, with potential applica...
Abstract. We present a class of multivariate laws which is an extension of the symmetric multivariat...
The paper devises a family of leptokurtic bell-shaped distributions which is based on the hyperbolic...
Skew Laplace distributions, which naturally arise in connection with random summation and quantile r...
Abstract. For the fundamental solutions of heat-type equations of order n we give a general stochast...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
This paper is a continuation of cite{KP06}, where we discussed the origins and inter-relations of ma...
The normal-Laplace (NL) distribution results from convolving independent normally distributed and La...
this paper see http://www.math.yorku.ca/Who/Faculty/AWong/research.html. First we express the log de...
A new three-parameter family of distributions on the positive numbers is proposed. It includes the s...
In this article, we construct pseudo random walks (symmetric and asymmetric) that converge in law to...
AbstractThe conditional Feynman–Kac functional is used to derive the Laplace transforms of condition...
For processes $X(t),t>0$ governed by signed measures whose density is the fundamental solution of th...
The Laplace distribution is one of the earliest distributions in probability theory. For the first t...
Using the Laplace transform technique, we investigate the generalized solutions of the third-order C...
An interesting class of continuous distributions, called Cauchy-type mixture, with potential applica...
Abstract. We present a class of multivariate laws which is an extension of the symmetric multivariat...
The paper devises a family of leptokurtic bell-shaped distributions which is based on the hyperbolic...
Skew Laplace distributions, which naturally arise in connection with random summation and quantile r...
Abstract. For the fundamental solutions of heat-type equations of order n we give a general stochast...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
This paper is a continuation of cite{KP06}, where we discussed the origins and inter-relations of ma...
The normal-Laplace (NL) distribution results from convolving independent normally distributed and La...
this paper see http://www.math.yorku.ca/Who/Faculty/AWong/research.html. First we express the log de...
A new three-parameter family of distributions on the positive numbers is proposed. It includes the s...
In this article, we construct pseudo random walks (symmetric and asymmetric) that converge in law to...