theorem of total probability

  • 61Sum of normally distributed random variables — In probability theory, if X and Y are independent random variables that are normally distributed, then X + Y is also normally distributed; i.e. if :X sim N(mu, sigma^2),and :Y sim N( u, au^2),and X and Y are independent, then:Z = X + Y sim N(mu + …

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  • 62Typical set — In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the… …

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  • 63Zero-point energy — is the lowest possible energy that a quantum mechanical physical system may have; it is the energy of its ground state. All quantum mechanical systems undergo fluctuations even in their ground state and have an associated zero point energy, a… …

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  • 64Detection theory — Detection theory, or signal detection theory, is a means to quantify the ability to discern between signal and noise. According to the theory, there are a number of determiners of how a detecting system will detect a signal, and where its… …

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  • 65Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …

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  • 66Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …

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  • 67Feynman diagram — The Wick s expansion of the integrand gives (among others) the following termNarpsi(x)gamma^mupsi(x)arpsi(x )gamma^ upsi(x )underline{A mu(x)A u(x )};,whereunderline{A mu(x)A u(x )}=int{d^4pover(2pi)^4}{ig {mu u}over k^2+i0}e^{ k(x x )}is the… …

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  • 68Doomsday argument — World population from 10,000 BC to AD 2000 The Doomsday argument (DA) is a probabilistic argument that claims to predict the number of future members of the human species given only an estimate of the total number of humans born so far. Simply… …

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  • 69analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …

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  • 70Info-gap decision theory — is a non probabilistic decision theory that seeks to optimize robustness to failure – or opportuneness for windfall – under severe uncertainty,[1][2] in particular applying sensitivity analysis of the stability radius type[3] to perturbations in… …

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