Many multivariate statistical methods call upon the assumption of multivariate normality. However, many researchers fail to test this assumption. This omission could be due either to ignorance of the existence of tests of multivariate normality or confusion about which test to use. Although at least 50 tests of multivariate normality exist, relatively little is known about the power of these pr...

Reference values seem crucial to both veterinary medicine and human medicine. The main critique is that the theoretical connections between the concepts of reference values, normality, and health are weak. In this paper, we analyze especially one attempt in veterinary medicine to establish such a theoretical connection. We find that this attempt fails because it is circular. In conclusion, we w...

For a regression model Yt = gO(x t) + e t , the unknown function gO is estimated consistently using varying degree polynomial regression. Consistency is with respect to a class of norms similar to weighted Sobolev norms, and the method of proof involves metric entropy calculations that enable the development of rates of convergence in these norms. The estimator is viewed as the solution to some...

Disaster Tolerance is the characteristic attributed to a system that can withstand a catastrophic failure and still function with some degree of normality. Disaster tolerance of computer and communication systems is described and methods for modeling this form of system robustness are described. Definitions and descriptions of disaster tolerant computing and communications systems are provided ...