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CS 224N: Machine Translation (PA2)
CS 224N: Machine Translation (PA2)

Precise Large Deviations of Aggregate Claims in a Size
Precise Large Deviations of Aggregate Claims in a Size

... dependence structures among claims so as to more accurately reflect insurance practice. To the best of our knowledge, the present work should be the first attempt to extend the study of precise large deviations to the case allowing (both positive and negative) dependence between claims and their int ...
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... Discrete Random Variables and Their Probability Distributions A discrete random variable X takes a fixed set of possible values with gaps between. The probability distribution of a discrete random variable X lists the values xi and their probabilities pi: ...
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... 1. The pattern predicted by H2 [is/is not] observed in the sample data. The tau-b is [x.xx] which indicates that the relationship is [weak/moderate/strong]. 2. This sample finding [is/is not] statistically significant. The chi-squared probability of random-sampling error [is/is not] less than 0.05 ( ...
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... Two events are mutually exclusive if they have no sample points in common or if the probability of their intersection is 0. P(A ∩ B) = P(A)= .50 + .10 + .05 = .65. Since this is not 0, A and B are not mutually exclusive. P(A ∩ C) = 0. Since this is 0, A and C are mutually exclusive. P(A ∩ D) = .05. ...
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< 1 ... 161 162 163 164 165 166 167 168 169 ... 412 >

Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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