20世纪50年代的贝叶斯问题:卡尔·波普尔与吉米·萨维奇的一段往事

Bayesian issues in the 1950s: an episode involving Karl Popper and Jimmie Savage

Journal of the Royal Statistical Society. Series A: Statistics in Society · 2024
被引 0
ABS 3

中文导读

本文回顾了1958年哲学家波普尔对主观贝叶斯推断提出的悖论,以及萨维奇在通信中指出的错误,揭示了当时贝叶斯统计学家寻求普遍接受时面临的争议。

Abstract

Abstract In the 1950s, the growing importance of Bayesian inference attracted both supporters and critics. In 1958, the philosopher Karl Popper published what he called a paradox that purported to show the foolishness of subjectivist Bayesian inference. In correspondence, Jimmie Savage pointed out what he considered an error in his reasoning, but Popper was unmoved and did not change his example when he reprinted it. It is argued that Popper did not acknowledge that the new subjectivists reasoned with distributions, not simply expected values. Excerpts from Jimmie Savage’s correspondence at the time with Popper and with Allen Wallis highlight the issues involved at this time when Bayesian statisticians were seeking general acceptance.

贝叶斯统计科学哲学数理经济学计算机科学人工智能