This paper considers the heteroscedastic multivariate linear model with errors following elliptically contoured distributions. The marginal likelihood function of the unknown covariance parameters and the predictive distribution of future responses have been derived. The predictive distribution obtained is a product of m multivariate Student’s t distributions. It is interesting to note that whe...

A b s t r a c t . We give a general result to characterize a multivariate distribution from a relationship between the left truncated mean function and the hazard gradient function. This result allows us to obtain new characterizations of multivariate distributions. In particular, we show that, for the multivariate normal distribution, the simple relationship, obtained in standardized form by M...

many environmental and physiological factors affect plant temperature. the objective of this study was to use thermal imagery to investigate robust features for early diagnosis of botrytis cinerea infection in cut rose flowers under the postharvest application of methyl jasmonate (meja). three cases treated with different concentrations of meja (0.1, 0.2, and 0.3 µl.l−1), a control (0 µl.l−1 me...

This paper considers the derivation of the p.d.f. of the trace of a non-central multivariate quadratic form using a polynomial P (T,A) defined by Ie the author and compares with the results of Katz et al and Ruben. The come plex case is also discussed.