Infinite Previsions and Finitely Additive Expectations
Mark J. Schervish
Teddy Seidenfeld
Joseph B. Kadane
10.1184/R1/6492005.v1
https://kilthub.cmu.edu/articles/journal_contribution/Infinite_Previsions_and_Finitely_Additive_Expectations/6492005
<p>We give an extension of de Finettiās concept of coherence to unbounded (but real-valued) random variables that allows for gambling in the presence of infinite previsions. We present a finitely additive extension of the Daniell integral to unbounded random variables that we believe has advantages over Lebesgue-style integrals in the finitely additive setting. We also give a general version of the Fundamental Theorem of Prevision to deal with conditional previsions and unbounded random variables.</p>
2014-01-01 00:00:00
coherence
Daniell integral
finitely additive probability
infinite expectation
prevision
unbounded random variables