Further Investingation in Conditional Probability
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منابع مشابه
Conditional Probability
A fair die is about to be tossed. The probability that it lands with ‘5’ showing up is 1/6; this is an unconditional probability. But the probability that it lands with ‘5’ showing up, given that it lands with an odd number showing up, is 1/3; this is a conditional probability. In general, conditional probability is probability given some body of evidence or information, probability relativised...
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The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS’s) [Blume, Brandenburger, and Dekel 1991a; Blume, Brandenburger, and Dekel 1991b], and nonstandard probability spaces (NPS’s) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS’s are equivalent; without the as...
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An important field of probability logic is the investigation of inference rules that propagate point probabilities or, more generally, interval probabilities from premises to conclusions. Conditional probability logic (CPL) interprets the common sense expressions of the form “if . . . , then . . . ” by conditional probabilities and not by the probability of the material implication. An inferenc...
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The concept of conditional probability has been employed for hundreds of years. Thomas Bayes used the expression "the probability that [B] on the supposition that [A]" in the statement of a basic law (1763, p. 378). Frank Ramsey, developing the application of probability to uncertain epistemic attitudes, the "logic of partial belief (1926, p. 166), wrote of your "degree of belief in [B] given [...
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The intuition of chance and probability develops at very early ages.1 However, a formal, precise definition of the probability is elusive. If the experiment can be repeated potentially infinitely many times, then the probability of an event can be defined through relative frequencies. For instance, if we rolled a die repeatedly, we could construct a frequency distribution table showing how many...
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عنوان ژورنال
دوره 13 شماره 2
صفحات 68- 76
تاریخ انتشار 2009-03
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