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Conditional Probability
, 2010
"... Definition: Conditional Probability If A and B are two events in a sample space S, and P(A) 6 = 0 then the conditional probability of B given A is: P(BA) = P(A ∩ B) P(A) Intuitively, the conditional probability P(BA) is the probability that the event B will occur given that the event A has occurr ..."
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Definition: Conditional Probability If A and B are two events in a sample space S, and P(A) 6 = 0 then the conditional probability of B given A is: P(BA) = P(A ∩ B) P(A) Intuitively, the conditional probability P(BA) is the probability that the event B will occur given that the event A has
• Conditional probability
"... The goals of this course • Probability is a tool, just like logic or algebra. • Recently, there has been considerable interest in the applicability of probability to linguistics. • Our goal: to discuss the applicability of this tool to semantics, its strengths and weaknesses. • We will consider a nu ..."
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The goals of this course • Probability is a tool, just like logic or algebra. • Recently, there has been considerable interest in the applicability of probability to linguistics. • Our goal: to discuss the applicability of this tool to semantics, its strengths and weaknesses. • We will consider a
Relations among conditional probabilities
 Tech. rep. FIENBERG AND RINALDO ArXiv:0808.1149v1
, 2008
"... We describe a Gröbner basis of relations among conditional probabilities in a discrete probability space, with any set of conditionedupon events. They may be specialized to the partiallyobserved random variable case, the purely conditional case, and other special cases. We also investigate the con ..."
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Cited by 3 (0 self)
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We describe a Gröbner basis of relations among conditional probabilities in a discrete probability space, with any set of conditionedupon events. They may be specialized to the partiallyobserved random variable case, the purely conditional case, and other special cases. We also investigate
ON THE COMPUTABILITY OF CONDITIONAL PROBABILITY
"... Abstract. We study the problem of computing conditional probabilities, a fundamental operation in statistics and machine learning. In the elementary discrete setting, conditional probability is defined axiomatically and the search for more constructive definitions is the subject of a rich literature ..."
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Cited by 5 (4 self)
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Abstract. We study the problem of computing conditional probabilities, a fundamental operation in statistics and machine learning. In the elementary discrete setting, conditional probability is defined axiomatically and the search for more constructive definitions is the subject of a rich
On Quantum Conditional Probability∗
"... ABSTRACT: We argue that quantum theory does not allow for a generalization of the notion of classical conditional probability by showing that the probability defined by the Lüders rule, standardly interpreted in the literature as the quantummechanical conditionalization rule, cannot be interpreted ..."
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ABSTRACT: We argue that quantum theory does not allow for a generalization of the notion of classical conditional probability by showing that the probability defined by the Lüders rule, standardly interpreted in the literature as the quantummechanical conditionalization rule, cannot be interpreted
Inference in conditional probability logic
 Kybernetika
, 2006
"... 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 con ..."
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Cited by 17 (12 self)
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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
ASYMPTOTIC CONDITIONAL PROBABILITIES: THE UNARY
"... Abstract. Motivated by problems that arise in computing degrees of belief, we consider the problem of computing asymptotic conditional probabilities for firstorder sentences. Given firstorder sentences ϕ and θ, we consider the structures with domain {1,..., N} that satisfy θ, and compute the fracti ..."
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Abstract. Motivated by problems that arise in computing degrees of belief, we consider the problem of computing asymptotic conditional probabilities for firstorder sentences. Given firstorder sentences ϕ and θ, we consider the structures with domain {1,..., N} that satisfy θ, and compute
CONDITIONAL PROBABILITIES: INSIGHTS AND DIFFICULTIES
"... Conditional probabilities play a central role in the process of inferring about the uncertain world. The formal definition of P(AI B) is easy and poses no problems. However, upon careful probing into students ' ideas of conditional probabilities, some misconceptions and fallacies are uncovered. ..."
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Conditional probabilities play a central role in the process of inferring about the uncertain world. The formal definition of P(AI B) is easy and poses no problems. However, upon careful probing into students ' ideas of conditional probabilities, some misconceptions and fallacies are uncovered
Results 1  10
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2,499,303