Ole E. Barndorff-Nielsen: Sand, Wind and Inference

TL;DR

This paper reviews Ole E. Barndorff-Nielsen's extensive research, highlighting his foundational work in statistical inference, wind-blown sand modeling, hyperbolic distributions, and their influence on financial econometrics.

Contribution

It provides a comprehensive overview of his lifelong research themes and their development into modern econometric models.

Findings

Foundations of statistical inference with focus on conditional inference and exponential families

Development of models for turbulent wind fields and wind-blown sand

Application of hyperbolic distributions in financial econometrics

Abstract

This paper reviews Ole Eiler Barndorff-Nielsen's research in the first decades of his career. The focus is on topics that he kept returning to throughout his scientific life, and on papers that he built on in later important contributions. First his early contributions to the foundations of statistical inference are reviewed with focus on conditional inference and exponential families, two topics in which he had a lifelong interest. The second half of the paper reviews his research on wind blown sand and hyperbolic distributions and processes, including his early contributions to modelling of turbulent wind fields. This research laid the foundations for his later work on financial econometrics and ambit processes.