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The 107 pages that link to Expected value, each with the reason it gives.
Gaussian distributionRelated: For a Gaussian distribution, the expected value is its center and symmetry point.
Minimax theoremBroader topic: The guaranteed payoff is an expectation when players randomize.
Ordinary least squaresRelated: Unbiasedness of OLS is defined by comparing expected coefficient estimates with true parameters.
Schema (psychology)Related: Schemas generate expectations that guide interpretation before all relevant information is available.
Allais paradoxCompared with: The paradox concerns utility-based predictions, not simply maximizing average monetary payoff.
Chebyshev's sum inequalityRelated: The finite inequality yields expectation bounds when ordered functions are evaluated on the same variable.
Hash tableRelated: Expected-time claims for randomized hashing are averages over random choices or inputs.
Jacob BernoulliRelated: Comparing observed frequencies with their expected value clarifies the theorem’s claim.
Coupon collector's problemNarrower topic: The problem asks for the average number of draws until complete collection.
Hypergeometric distributionRelated: The expected success count is sample size multiplied by the population success proportion.
Negative binomial distributionRelated: It gives the distribution's average number of failures before the target is reached.
Source coding theoremRelated: Fidelity constraints commonly bound expected distortion across source outcomes.
St. Petersburg paradoxRelated: Its sum over the lottery’s possible payouts diverges, producing infinite expected monetary value.
BetrayalRelated: A breach counts as betrayal when conduct violates an anticipated duty or assurance.
BluffingRelated: A player weighs the payoff from a successful bluff against the cost of being called.
CasinoRelated: It explains why a game can be fair on each round yet profitable for the casino over time.
Concentration inequalityRelated: Many inequalities measure departures from this central value.
Golf course managementRelated: Choosing a shot often means weighing a likely safe result against a costly miss.
Hoeffding's inequalityRelated: The inequality measures deviations from the sum’s expected value.
Integrable functionRelated: A random variable has finite absolute expectation exactly when its magnitude is integrable.
Linearity of expectationNarrower topic: Linearity applies to expected values, which average each variable over its probability distribution.
Weighted averageRelated: It is a weighted average with probabilities as the weights.
Adaptive expectationsNarrower topic: Adaptive expectations are one specific way economic agents form beliefs about the future.
PromiseRelated: A promise gives its recipient a specific expectation about future conduct.
Five-card drawRelated: It helps evaluate whether a draw or bet is profitable over time.
Poisson limit theoremRelated: The product of trial count and success probability is the binomial mean held fixed.
Poker strategyRelated: It provides a common measure for comparing bets, calls, folds, and raises.
Iterated integralRelated: For several continuous variables, expectation is computed by integrating against their joint density.
Shannon's source coding theoremRelated: The theorem compares entropy with expected code length, not each individual length.
Discrete uniform distributionRelated: For equally likely numeric values, the expected value is their ordinary arithmetic mean.
Draw pokerRelated: Comparing possible draws by expected value clarifies whether discarding is worthwhile.
Hermite–Hadamard inequalityRelated: The inequality bounds the expectation of a convex function of a uniform random variable.
Law of total expectationNarrower topic: The law decomposes this average into averages within cases.
Law of total varianceNarrower topic: Both conditional variance and conditional-mean variance are averaged or computed through expectations.
Regression toward the meanRelated: The phenomenon concerns the expected next measurement, not a guarantee about any particular case.
Snakes and LaddersRelated: It helps calculate how many turns a player can expect to need to finish.
Wiener–Khinchin theoremRelated: Autocorrelation is defined using an expectation over the process.
CrapsRelated: It quantifies the average return built into each craps wager.
Game of chanceRelated: It summarizes the average monetary result of repeated plays.
Slot machineRelated: Expected value explains why a game can pay frequently yet remain unfavorable over time.
Von Neumann–Morgenstern utility theoremRelated: Expected utility applies this averaging operation to utility, rather than directly to outcomes.
Wald's equationNarrower topic: Both the random count and the summed variables are evaluated through expectation.
Continuous uniform distributionRelated: Symmetry places the mean at the interval’s midpoint.
De Moivre–Laplace theoremRelated: The binomial count is centered at its expected value before scaling.
Kolmogorov's inequalityRelated: The mean-zero condition centers each increment before the sums are controlled.
Kolmogorov's two-series theoremRelated: Convergence of the expectations controls the deterministic drift of the partial sums.
Le Cam's theoremRelated: The Poisson approximation uses the sum's expected value as its parameter.
Limits of integrationRelated: For a continuous variable, its density is integrated across the variable's range.
Popoviciu's inequalityRelated: The variance is computed relative to this central value.
Bienaymé's identityRelated: Variance is defined through expectation, which also expands the squared sum.