Complete Probability Space
A probability space is said to be a complete probability space if for all with and all one has . Often, the study of probability spaces is restricted to complete probability spaces.
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Famous quotes containing the words complete, probability and/or space:
“What I expect from my male friends is that they are polite and clean. What I expect from my female friends is unconditional love, the ability to finish my sentences for me when I am sobbing, a complete and total willingness to pour their hearts out to me, and the ability to tell me why the meat thermometer isn’t supposed to touch the bone.”
—Anna Quindlen (20th century)
“The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.”
—Andrew Michael Ramsay (1686–1743)
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—Laurent A. Daloz (20th century)