FW Fred Steutel
Abstract
The principles of infinite divisibility are discussed, and illustrated by their occurrence in statistical models. A number of conditions for infinite divisibility are presented, and used to prove the infinite divisibility of many well-known distributions in statistics. Some recent results in this area are presented and some open problems are proposed.
OpenAlex reports 52 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The principles of infinite divisibility are discussed, and illustrated by their occurrence in statistical models. A number of conditions for infinite divisibility are presented, and used to prove the infinite divisibility of many well-known distributions in statistics. Some recent results in this area are presented and some open problems are proposed.
Key concepts: Divisibility rule, Mathematics, Infinite divisibility, Pure mathematics, Calculus (dental), Applied mathematics, Statistical physics, Discrete mathematics