On independent events in families of discrete distributions
Oleg Pavlovich Vinogradov · Discrete Mathematics and Applications · 2014
Discrete spaces of elementary events with families of probabilities depending on a parameter ë are considered. We introduce the notion of events independent relative to a family of distributions and the notion of families of distributions without independent events. A simple necessary condition of the existence of events independent relative to the family of power series distributions is given. It permits to investigate a question on the existence of events independent relative to these families of distributions. Examples of families of distributions having independent events, families without independent events, and also the families not belonging to both classes are given.