In this paper a new form of multivariate gamma is defined whose components are positively
correlated and have a three parameter gamma distribution. Explicit forms of moments, …

… No competing interests declared by Panagis Moschopoulos and Gideon Koren. … Panagis
Moschopoulos provided statistical advice and analyses. All of the authors approved the final …

A Gaussian approximation to the distribution of the nonnegative random variable Y is
developed using the Wilson and Hilferty (1931) approach. This approximation uses the …

Suppose we are given n independent observations (X 1 , Y 1 ), …, (X n , Y n ) from a
conditionally specified distribution with density f(x, y). The problem of estimating the unknown …

Let X 1 ,X 2 , …, X p be jointly distributed according to a multivariate normal distribution, and
let ? denote the multiple correlation coefficient between X 1 and X 2 , X 3 ,…, X p Let X li ,…, …

In this paper, we study the application of a power transformation for the purpose of accelerating
the rate of convergence of a statistics sampling distribution to that of its limiting normal. …

SYNOPTIC ABSTRACT Let λ* be the modified likelihood ratio criterion for testing the
multisample sphericity hypothesis H: Σ j = σ 2 I, j = 1, …, k, where Σ j is the positive definite …

Abstract Models, mathematical or stochastic, which move from one functional form to another
through pathway parameters, so that in between stages can be captured, are examined in …

The p × p real matrix Σ is called block-spherical if it is diagonal with q blocks, 1 ≤ q ≤ p each
containing $p_{i}$ elements equal to $\sigma _{i}^{2},\,i=1,..,q,p_{1}+p_{2}+..+p_{q}=p$ . …

A general procedure for deriving the exact and asymptotic distributions of a certain class of
test statistics in multivariate analysis is proposed. The method is based on an asymptotic …