DOIAbstract
Khatri and Rao's theorem on a characterization of multivariate normal distribution through independence of linear functions of random vectors is extended to independence of more general functions satisfying an associativity equation
Khatri and Rao's theorem on a characterization of multivariate normal distribution through independence of linear functions of random vectors is extended to independence of more general functions satisfying an associativity equation
AbstractIn this paper, it is shown that two random matrices have a joint matrix variate normal distr...
In this paper we will prove a characterization for the independence of random vectors with positive ...
A multivariate t vector X is represented in two different forms, one associated with a normal vector...
AbstractIt is established that a vector variable (X1, …, Xk) has a multivariate normal distribution ...
AbstractLet Xj (j = 1,…,n) be i.i.d. random variables, and let Y′ = (Y1,…,Ym) and X′ = (X1,…,Xn) be ...
It is established that a vector variable (X<SUB>1</SUB>,..., X<SUB>k</SUB>) has a multivariate norma...
AbstractGeneral functional equations of the type ∑φi(Ai′t+Bi′u)=Ca(u|t)+Db(t|u)+Pk(t,u) and Σφi(Ci′t...
AbstractIt is established that a vector (X′1, X′2, …, X′k) has a multivariate normal distribution if...
AbstractThe main aim of this paper is to solve the functional equations ∑i=1kCαihi(ti)+∑j=1rBαjgi∑i=...
Let $X$ be a $k$-dimensional random vector. We assume that some conditionals of $X$ are normal. Then...
General functional equations of the type [summation operator][phi]i(Ai't+Bi'u)=Ca(ut)+Db(tu)+Pk(t,u)...
The normal distribution is a very important distribution in probability theory and statisticsand has...
The joint normality of two random vectors is obtained based on normal conditional with linear regres...
AbstractThis paper introduces a new characterization of multivariate normality of a random vector ba...
This paper gives results for the population value of a measure of the goodness-of-fit of a general m...
AbstractIn this paper, it is shown that two random matrices have a joint matrix variate normal distr...
In this paper we will prove a characterization for the independence of random vectors with positive ...
A multivariate t vector X is represented in two different forms, one associated with a normal vector...
AbstractIt is established that a vector variable (X1, …, Xk) has a multivariate normal distribution ...
AbstractLet Xj (j = 1,…,n) be i.i.d. random variables, and let Y′ = (Y1,…,Ym) and X′ = (X1,…,Xn) be ...
It is established that a vector variable (X<SUB>1</SUB>,..., X<SUB>k</SUB>) has a multivariate norma...
AbstractGeneral functional equations of the type ∑φi(Ai′t+Bi′u)=Ca(u|t)+Db(t|u)+Pk(t,u) and Σφi(Ci′t...
AbstractIt is established that a vector (X′1, X′2, …, X′k) has a multivariate normal distribution if...
AbstractThe main aim of this paper is to solve the functional equations ∑i=1kCαihi(ti)+∑j=1rBαjgi∑i=...
Let $X$ be a $k$-dimensional random vector. We assume that some conditionals of $X$ are normal. Then...
General functional equations of the type [summation operator][phi]i(Ai't+Bi'u)=Ca(ut)+Db(tu)+Pk(t,u)...
The normal distribution is a very important distribution in probability theory and statisticsand has...
The joint normality of two random vectors is obtained based on normal conditional with linear regres...
AbstractThis paper introduces a new characterization of multivariate normality of a random vector ba...
This paper gives results for the population value of a measure of the goodness-of-fit of a general m...
AbstractIn this paper, it is shown that two random matrices have a joint matrix variate normal distr...
In this paper we will prove a characterization for the independence of random vectors with positive ...
A multivariate t vector X is represented in two different forms, one associated with a normal vector...
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