Add to ORKGThis note deals with finding the solution of a functional equation, where the function involved has the additional property of being a probability generating function. It turns out that the unique solution of this particular functional equation is the probability generating function of the logarithmic series distributio
A real-variable proof of a functional generalised law of the iterated logarithm due to Kesten, Kuelb...
In this note we discuss the development of a new Gamma exponentiated functional GE ( α , h ) ...
A series representation of the Macdonald function is obtained using the properties of a probability ...
This paper considers a model where an original observation from a discrete distribution generates, a...
Abstract. Making use of the theory of Schwartz distributions we consider a class of generalized loga...
This paper discusses a characterization of the members of a subfamily of power series distributions ...
19 pages, 1 article*On a Group Formation Model Leading to the Logarithmic Series Distribution* (Blyt...
N.B. When citing this work, cite the original published paper. Permanent link to this version: http:...
AbstractIn this paper, we shall apply an operator method for casting and solving the distributional ...
Generating functions are suitable mathematical apparatus to describe the distribution of random vari...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
summary:In this paper it is proved that the distribution of the logarithmic series is not invertible...
We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(...
Following earlier work by Abel and others, Kummer gave in 1840 functional equations for the polyloga...
AbstractGiven a sequence (ξn,ηn) of independent identically distributed vectors of random variables ...
A real-variable proof of a functional generalised law of the iterated logarithm due to Kesten, Kuelb...
In this note we discuss the development of a new Gamma exponentiated functional GE ( α , h ) ...
A series representation of the Macdonald function is obtained using the properties of a probability ...
This paper considers a model where an original observation from a discrete distribution generates, a...
Abstract. Making use of the theory of Schwartz distributions we consider a class of generalized loga...
This paper discusses a characterization of the members of a subfamily of power series distributions ...
19 pages, 1 article*On a Group Formation Model Leading to the Logarithmic Series Distribution* (Blyt...
N.B. When citing this work, cite the original published paper. Permanent link to this version: http:...
AbstractIn this paper, we shall apply an operator method for casting and solving the distributional ...
Generating functions are suitable mathematical apparatus to describe the distribution of random vari...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
summary:In this paper it is proved that the distribution of the logarithmic series is not invertible...
We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(...
Following earlier work by Abel and others, Kummer gave in 1840 functional equations for the polyloga...
AbstractGiven a sequence (ξn,ηn) of independent identically distributed vectors of random variables ...
A real-variable proof of a functional generalised law of the iterated logarithm due to Kesten, Kuelb...
In this note we discuss the development of a new Gamma exponentiated functional GE ( α , h ) ...
A series representation of the Macdonald function is obtained using the properties of a probability ...