On a characterization of symmetric stable processes.
On a characterization of symmetric stable processes. (Short Communication).
On a Class of Discrete Distributions Arising from the Birth-Death-with-Immigration Process.
On a class of perimeter-type distances of probability distributions
On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions.
On a functional equation for characteristic functions
On a functional equation which occurs in a characterization problem.
On a functional equation which occurs in a characterization problem. (Short Communication).
On a multivariate version of Bernstein's inequality.
On a non-Markovian queueing problem under a control operating policy and start-up times
A non-Markovian queueing system with Poisson input is studied under a modified operating rule called “control operating policy” in which the server begins “start-up” only when the queue length reaches a fixed number . By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic...
On a probability inequality for multivariate normal distribution
On a problem by Schweizer and Sklar
We give a representation of the class of all -dimensional copulas such that, for a fixed , , all their -dimensional margins are equal to the independence copula. Such an investigation originated from an open problem posed by Schweizer and Sklar.
On a problem of J. Schnitzer
On a theorem of Kłosowska about generalised convolutions
On a Transformation for Probability Generating Functions of some Infinitely Divisible Distributions
On a Transformation of Analytic Characteristic Functions
On a two-variable zeta function for number fields
This paper studies a two-variable zeta function attached to an algebraic number field , introduced by van der Geer and Schoof, which is based on an analogue of the Riemann-Roch theorem for number fields using Arakelov divisors. When this function becomes the completed Dedekind zeta function of the field . The function is a meromorphic function of two complex variables with polar divisor , and it satisfies the functional equation . We consider the special case , where for this function...
On an Analogue of the Sato Conjecture.
On an exponential inequality and a strong law of large numbers for monotone measures
An exponential inequality for Choquet expectation is discussed. We also obtain a strong law of large numbers based on Choquet expectation. The main results of this paper improve some previous results obtained by many researchers.
On an inequality and the related characterization of the gamma distribution
In this paper we derive conditions upon the nonnegative random variable under which the inequality holds for a fixed nonnegative constant and for any absolutely continuous function . Taking into account the characterization of a Gamma distribution we consider the functional and establishing some of its properties we show that and that iff the random variable has a Gamma distribution.