The product moments of existing and new noncentral bimatrix variate beta distributions with bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained by using the Mellin transform. These distributions add value to multivariate statistical analysis with specific reference to factors of Wilks’ statistics and the product of generalized statistics.

This report contains properties and approximations of some matrix valued probability density functions. Expected values of functions of generalised Beta type II distributed random variables are derived. In two Theorems, approximations of matrix variate distributions are derived. A third theorem contain a marginalisation result.

Some remarkable properties of the beta distribution are based on relations involving independence between beta random variables such that a parameter of one among them is the sum of the parameters of an other (see (1.1) et (1.2) below). Asci, Letac and Piccioni [1] have used the real beta-hypergeometric distribution on IR to give a general version of these properties without the condition on th...

killifish (aphanius sophiae) of the cheshme-ali of damghan and shour river of eshteherd were studied and compared from morphological point of view. for morphometric studies, 34 truss morphometric measurements and  10 traditional  measurements  were made for each individual. nine meristic traits were counted. multi-variate analysis of variance (manova) revealed a significant different between va...

 This paper considers the problem of estimating the population mean Ybar of the study variate Y using information on different parameters such as population mean $(bar{X})$, coefficient of variation $(C_x)$, kurtosis  $beta_{2(x)}$, standard deviation $(S_x)$ of the auxiliary variate x and on the correlation coefficient, $rho$, between the study variate $Y$ and the auxiliary variate $...