Random Processes and Their Application to Demography and Insurance

Let me thank the organizers of this symposium for the honor they have done me by inviting me to present nay report before this eminent audience. I would also like to express my thanks to all who are present here for the confidence shown to me as reporter. The genesis and development of the theory of random processes is closely related to the problems of demography and insurance. Numerous problems stimulating the development of the theory of probability and the theory of random processes--the latter constituting one of the essential parts of the modern theory of probability--are connected with these two fields of research and activity.