Add to ORKGIn this note, we show that if a sequence of moment generating functions Mn(t) converges pointwise to a moment generating function M(t) for all t in some open interval of R, not necessarily containing the origin, then the distribution functions Fn (corresponding to Mn) converge weakly to the distribution function F (corresponding to M). The proof uses the basic classical result of Curtiss [1942. A note on the theory of moment generating functions. Ann. Math. Statist. 13 (4), 430-433].
Some properties of weakly approaching sequences of distributions are derived. The notion of weakly a...
ABSTRACT. A series representation of the Macdonald function is obtained using the properties of a pr...
Formulae that are given in the literature for the characteristic function of the F distribution are ...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
Two deficiencies in using moment-generating functions are given and illustrated with examples. Many ...
Since histograms give little quantitative information about distribution, more detail descriptions a...
A result by Mead and Papanicolaou is proved without the assumption of absolute continuity and withou...
We present a function ρ (F1, F2, t) which contains Matusita’s affinity and express the «affinity » b...
Characteristic Functions (cf) have been used to establish the convergence of several independent and...
The class of generating functions for completely monotone sequences (moments of finite positive meas...
We apply our recently developed distributional technique [2, 3] to study time-domain asymptotics. Th...
In this paper, another tail-end probability function is proposed using the left tail-end probabiliti...
In the paper we study sequences of random functions which are defined by some interpolation procedur...
In this article we show that if a life has new better than used in expectation (NBUE) ageing propert...
In this article we show that if a life has new better than used in expectation (NBUE) ageing propert...
Some properties of weakly approaching sequences of distributions are derived. The notion of weakly a...
ABSTRACT. A series representation of the Macdonald function is obtained using the properties of a pr...
Formulae that are given in the literature for the characteristic function of the F distribution are ...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
Two deficiencies in using moment-generating functions are given and illustrated with examples. Many ...
Since histograms give little quantitative information about distribution, more detail descriptions a...
A result by Mead and Papanicolaou is proved without the assumption of absolute continuity and withou...
We present a function ρ (F1, F2, t) which contains Matusita’s affinity and express the «affinity » b...
Characteristic Functions (cf) have been used to establish the convergence of several independent and...
The class of generating functions for completely monotone sequences (moments of finite positive meas...
We apply our recently developed distributional technique [2, 3] to study time-domain asymptotics. Th...
In this paper, another tail-end probability function is proposed using the left tail-end probabiliti...
In the paper we study sequences of random functions which are defined by some interpolation procedur...
In this article we show that if a life has new better than used in expectation (NBUE) ageing propert...
In this article we show that if a life has new better than used in expectation (NBUE) ageing propert...
Some properties of weakly approaching sequences of distributions are derived. The notion of weakly a...
ABSTRACT. A series representation of the Macdonald function is obtained using the properties of a pr...
Formulae that are given in the literature for the characteristic function of the F distribution are ...
