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Artificial Intelligence, Machine Learning, Robotics and more! Algorithms A* Run-length encoding (data compression) Misc Springer LNCS: Information For Authors -namely the...
See first: Posterior Probability. The Bayes rule allows us to compute the conditional probability P(X|Y) from P(Y|X): (1) From Tutorial on Bayesian nets and probability by Norman Fenton: The...
See first: independence Adaptade from CaDDiS: Two events, A and B, are said to be conditionally independent if (1) Where we already have information about the situation (through our knowledge of...
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Adapted from Wikipedia: In probability theory and statistics, correlation, (often measured as a correlation coefficient), indicates the strength and direction of a linear relationship between two...
The covariance of two random variables is a measure of how much two variables change together (or how "closely related" they are): (1)
AKA Mean, Expected Value or First Moment For discrete variables: (1) where Y is a random variable For continuous variables: (2) where X is a random variable and p(X) is the Probability Density...
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From Wikipedia: In probability theory, to say that two events are independent, intuitively means that the occurrence of one event makes it neither more nor less probable that the other...
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Pdf
Probability Density Function (PDF) is a non-negative, integrable function such that: (1) The probability of X, (2)
From OECD Glossary of Statistical Terms: Population is the total membership or population or “universe” of a defined class of people, objects or events.
From Wikipedia: The posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence is taken into account.
From (Wikipedia): The powerset of the set S, P(S) or 2S, is the set of all subsets of S.
Adapted from Wikipedia: In statistics, a sample is a subset of a population. Typically, the population is very large, making a complete enumeration of all the values in the population impractical...
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The standard deviation is a measure of the "spread" (or dispersion) of a distribution. (1) Where Var(X) is the Variance. The standard deviation of a discrete random variable is the...
Probability - The mathematical study of uncertainty. Definitions Sample Population Powerset Independence Conditional Independence Bayes Rule Expectation AKA Mean, Expected Value or First...
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AKA second moment. The variance of a distribution is a measure of the "spread" of the distribution. For discrete random variable: (1) For a continuous random variable: (2) Also, or where is...
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