bernoulli utility function

  • 1Utility — This article is about the economic concept. For other uses, see Utility (disambiguation). Part of a series on Utilitarianism …

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  • 2Expected utility hypothesis — In economics, game theory, and decision theory the expected utility hypothesis is a theory of utility in which betting preferences of people with regard to uncertain outcomes (gambles) are represented by a function of the payouts (whether in… …

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  • 3Marginal utility — In economics, the marginal utility of a good or service is the utility gained (or lost) from an increase (or decrease) in the consumption of that good or service. Economists sometimes speak of a law of diminishing marginal utility, meaning that… …

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  • 4St. Petersburg paradox — In economics, the St. Petersburg paradox is a paradox related to probability theory and decision theory. It is based on a particular (theoretical) lottery game (sometimes called St. Petersburg Lottery ) that leads to a random variable with… …

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  • 5Marginalism — Economics …

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  • 6probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …

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  • 7Mean squared error — In statistics, the mean squared error (MSE) of an estimator is one of many ways to quantify the difference between values implied by a kernel density estimator and the true values of the quantity being estimated. MSE is a risk function,… …

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  • 8Statistical inference — In statistics, statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference,… …

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  • 9Decision theory — in economics, psychology, philosophy, mathematics, and statistics is concerned with identifying the values, uncertainties and other issues relevant in a given decision, its rationality, and the resulting optimal decision. It is closely related to …

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  • 10Checking whether a coin is fair — In statistics, the question of checking whether a coin is fair is one whose importance lies, firstly, in providing a simple problem on which to illustrate basic ideas of statistical inference and, secondly, in providing a simple problem that can… …

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