This paper studies the relationship between the unconditional and conditional distribution of the same random variable, say Y, when the distribution of the conditioning random variable X is of a known form. The problem is tackled in the general case where the distribution of Y and Y given X are...

The main goal of this article is to generalize the bivariate lack-of-memory property introduced in Marshall & Olkin (1967). Several characterizations of bivariate continuous distributions possessing such a property are established and illustrated by examples.

It turns out that there exist general covariance matrices associated not only to a random vector itself but also to its general moments. In this paper we introduce and characterize general covariance matrices of a random vector that are associated to some important general moments, which are...

Barley straw was successfully converted to bio-crude by hydrothermal liquefaction at temperature of 280–400 °C using an alkali catalyst (K2CO3) in our previous work, and the maximum bio-crude yield was obtained at 300 °C. This paper extends previous work on studying liquefaction behavior...