In this paper a higher class of monotone dependence functions is defined and their properties are investigated. A class of monotone dependence functions is introduced in Kowalczyk (1987) and Kowalczyk et al. (1977). Another, one parameter class is considered in Krajka et al. (1992). The higher...

The method of projection, proposed in Part I, is applied to derive sharp moment bounds for the expectations of order statistics based onindependentsamples from restricted families of distributions. Three families are considered: life distributions with decreasing failure density, decreasing...

We give here an almost sure central limit theorem for associated sequences, strongly mixing and p-mixing sequences under the same conditions that assure that the central limit theorem holds.