The 2005 Neyman Lecture: Dynamic Indeterminism in Science

TL;DR

This paper reviews Jerzy Neyman's contributions to applied statistics, emphasizing the importance of stochastic processes in scientific research and data analysis across various real-world examples.

Contribution

It highlights the significance of stochastic process theory in applied statistics and illustrates its application through diverse case studies from Neyman's and the author's work.

Findings

Stochastic processes are essential in modern scientific research.

Application of stochastic data analysis to ecological and environmental data.

Demonstrated the practical relevance of stochastic process theory.

Abstract

Jerzy Neyman's life history and some of his contributions to applied statistics are reviewed. In a 1960 article he wrote: ``Currently in the period of dynamic indeterminism in science, there is hardly a serious piece of research which, if treated realistically, does not involve operations on stochastic processes. The time has arrived for the theory of stochastic processes to become an item of usual equipment of every applied statistician.'' The emphasis in this article is on stochastic processes and on stochastic process data analysis. A number of data sets and corresponding substantive questions are addressed. The data sets concern sardine depletion, blowfly dynamics, weather modification, elk movement and seal journeying. Three of the examples are from Neyman's work and four from the author's joint work with collaborators.