probability bound

  • 1Universal probability bound — A universal probability bound is a probabilistic threshold whose existence is asserted by William A. Dembski and is used by him in his works promoting intelligent design. It is defined as A degree of improbability below which a specified event of …

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  • 2Probability box — A p box (probability box). A probability box (or p box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used in risk analys …

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  • 3Probability-generating function — In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are… …

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  • 4Bound state — In physics, a bound state is a composite of two or more building blocks (particles or bodies) that behaves as a single object. In quantum mechanics (where the number of particles is conserved), a bound state is a state in the Hilbert space that… …

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  • 5Chernoff bound — In probability theory, the Chernoff bound, named after Herman Chernoff, gives exponentially decreasing bounds on tail distributions of sums of independent random variables. It is better than the first or second moment based tail bounds such as… …

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  • 6Cramér–Rao bound — In estimation theory and statistics, the Cramér–Rao bound (CRB) or Cramér–Rao lower bound (CRLB), named in honor of Harald Cramér and Calyampudi Radhakrishna Rao who were among the first to derive it,[1][2][3] expresses a lower bound on the… …

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  • 7Copula (probability theory) — In probability theory and statistics, a copula can be used to describe the dependence between random variables. Copulas derive their name from linguistics. The cumulative distribution function of a random vector can be written in terms of… …

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  • 8Wigner quasi-probability distribution — See also Wigner distribution, a disambiguation page. The Wigner quasi probability distribution (also called the Wigner function or the Wigner Ville distribution) is a special type of quasi probability distribution. It was introduced by Eugene… …

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  • 9Chapman–Robbins bound — In statistics, the Chapman–Robbins bound or Hammersley–Chapman–Robbins bound is a lower bound on the variance of estimators of a deterministic parameter. It is a generalization of the Cramér–Rao bound; compared to the Cramér–Rao bound, it is both …

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  • 10Cheeger bound — In mathematics, the Cheeger bound is a bound of the second largest eigenvalue of the transition matrix of a finite state, discrete time, reversible stationary Markov chain. It can be seen as a special case of Cheeger inequalities in expander… …

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