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The 107 pages that link to Expected value, each with the reason it gives.

• Placebo effectRelated: Expected relief recruits the same neural machinery as active drugs, especially in pain.

• Random variableRelated: It compresses the distribution into a central numerical summary.

• Monte Carlo methodRelated: Many Monte Carlo estimates target an expectation and approximate it with a sample average.

• IronyRelated: Situational irony depends on an outcome that diverges from an established expectation.

• Probability theoryRelated: It captures a distribution’s long-run average and supports decision calculations.

• Probability distributionRelated: It extracts a central summary directly from the distribution’s probabilities.

• VarianceRelated: The expectation defines both the mean and the averaging operation in variance.

• ProbabilityRelated: It summarizes the long-run average outcome implied by a probability distribution.

• Lebesgue integralRelated: Expected values are Lebesgue integrals on probability spaces.

• Normal distributionNarrower topic: For a normal distribution, the expected value is its center of symmetry.

• Binomial distributionRelated: For this distribution, the average success count is the number of trials times the success probability.

• Central limit theoremRelated: The classical theorem centers each summand by subtracting its expected value.

• Probability measureRelated: It summarizes a random quantity by integrating it against its probability measure.

• Characteristic functionRelated: The defining formula takes an expected value of a complex exponential.

• Law of large numbersRelated: It is the destination of the sample averages described by the law.

• Measure theoryRelated: Expectation is Lebesgue integration on a probability space.

• Arithmetic meanRelated: It generalizes averaging to outcomes weighted by their probabilities.

• Blaise PascalRelated: The fair division of an interrupted game depends on valuing each player’s chances of winning.

• Poisson distributionRelated: For a Poisson distribution, the expected count equals its rate parameter.

• Random walkRelated: Expected step size determines whether a walk has a directional drift.

• Shannon entropyRelated: Entropy is the expected value of the negative log probability.

• Indicator functionRelated: An event’s indicator has expectation equal to the event’s probability.

• Probability spaceRelated: It summarizes a random variable using the space's measure.

• Cumulative distribution functionRelated: Distributional summaries such as expectation can be recovered from the CDF under suitable conditions.

• Conditional expectationNarrower topic: Conditional expectation extends ordinary expectation by restricting the available information.

• Expected utilityCompared with: It averages outcomes directly, whereas expected utility averages their desirability.

• Jensen's inequalityRelated: The integral form applies the function either before or after taking expectation.

• Randomized algorithmRelated: Expected running time averages an algorithm's costs across its random choices.

• CovarianceRelated: Covariance is defined using an expectation of paired deviations.

• Probability mass functionRelated: The mass function supplies the weights used to calculate this average.

• Effective altruismRelated: It provides a framework for weighing uncertain benefits and harms.

• Moment-generating functionRelated: Taking the expectation of the exponential defines the moment-generating function.

• Risk aversionRelated: The comparison holds this quantity equal between the sure and risky outcomes.

• Expected utility hypothesisCompared with: It values outcomes directly, unlike expected utility, which first transforms them through preferences.

• Exponential distributionRelated: An exponential waiting time has mean equal to the reciprocal of its rate.

• Geometric distributionRelated: For success probability p, the expected number of trials is 1/p.

• Markov's inequalityNarrower topic: The inequality uses this average to bound the chance of a large value.

• Strong law of large numbersRelated: It is the target value approached by the sample averages.

• Bernoulli distributionRelated: A Bernoulli variable has expected value p, its probability of success.

• MisdirectionRelated: An expected action can draw focus away from the unexpected method.

• Convex combinationRelated: For a finite distribution, the expectation is a convex combination of its outcomes.

• HopeRelated: Expectation captures hope's prospective element while leaving out whether the outcome is valued.

• Probabilistic methodNarrower topic: Existence arguments often compare an expected quantity with a threshold that some outcome must reach.

• GamblingRelated: It shows whether a bet pays less or more, on average, than its price.

• LotteryRelated: It compares a ticket’s average monetary return with its purchase price.

• Probability-generating functionRelated: Writing the function as E[z^X] defines its coefficients through probability-weighted outcomes.

• Texas hold ’emRelated: It provides a standard for comparing bets, calls, and folds.

• Beta distributionRelated: For parameters α and β, the beta distribution’s mean is α/(α+β).

• Chernoff boundNarrower topic: The deviation being bounded is measured relative to this central quantity.

• Correlation functionRelated: Correlation functions are built from averages of products of field values.