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'''Complete spatial randomness''' ('''CSR''') describes a [[point process]] whereby point events occur wit ...in the context of examining certain point patterns, whereas in most other statistical contexts it is referred to the concept of a spatial Poisson process.<ref na ...

...ndom variable. Mergers are currently used in order to explicitly construct randomness extractors. ...e to having at least <math>m</math> [[min-entropy]]; this means that its [[statistical distance]] from a string with <math>m</math> min-entropy is no larger than ...

{{Short description|Extensions of the concept of randomness}} ...nguage=en}}</ref> This classification builds upon the three main states of randomness: mild, slow, and wild. ...

{{Short description|Statistical rule of thumb}} In [[statistics]] the rule of five is a statistical [[rule of thumb]] used to quickly estimate the [[median]] of a population. ...

[[Category:Statistical randomness]] ...

...re of macromolecules of different length and sequence and are analysed via statistical measures (e. g. the degree of polymerization, comonomer composition or dyad ...riad-based resonances allows a quantitative determination of the degree of randomness and the average block length via integration of the distinguishable resonan ...

...ntel Pentium 4. Although SWIFFT satisfies many desirable cryptographic and statistical properties, it was not designed to be an "all-purpose" cryptographic hash f ==Statistical properties== ...

===Origins in statistical mechanics=== ...gs like a [[gas]], which have intractably large numbers of [[molecules]]. Statistical mechanics, however, doesn't attempt to track properties of individual parti ...

...et processes. In particular, by applying operations that preserve complete randomness to the underlying Poisson processes: superposition, subsampling and point t ...ern, "Dependent Nonparametric Processes", in ''Proceedings of the Bayesian Statistical Science Section'', 1999 ...

...wer bound on their entropy rate can be established. For a given source, a randomness extractor can even be considered to be a true random number generator ([[Ha ...neously keeping the seed length low. Intuitively, this means that as much randomness as possible has been "extracted" from the source. ...

.../sample_space.html |url-status=dead }}</ref> An experiment is said to be [[Randomness|''random'']] if it has more than one possible outcome, and [[Deterministic ...nts that can occur in the experiment and apply the methods of [[Statistics|statistical analysis]]. ...

...t of observed data is considered to be a realisation of a probabilistic or statistical model. However, in <math>\{ H_n(\theta) \}</math>, ''&theta;'' relates to t ...

{{Short description|Statistical function}} ...n determine its end) in <math>\log |S|+O(1)</math> bits.) Therefore, the ''randomness deficiency'' <math> \log |S|-K(x|S) </math> of <math>x</math> in <math>S</m ...

...]] and the types of [[inference]]s that can be drawn from the test scores. Statistical methods are used to increase the understanding of the facts and the proof d ...s [[critical rationalism]]. These methods of reason have direct bearing on statistical proof and its interpretations in the broader philosophy of science.<ref nam ...

[[Category:Statistical randomness]] ...

...y estimation: An overview]. In ''International Journal of Mathematical and Statistical Sciences'', Volume 6, pp. 17– ...14">Marek Lesniewicz (2014) Expected Entropy as a Measure and Criterion of Randomness of Binary Sequences [http://pe.org.pl/abstract_pl.php?nid=8206] In ''Przegl ...

...y]] of the strong notions of privacy with regard to [[Statistical database|statistical databases]].<ref>{{cite book |last=Dwork |first=Cynthia |author-link=Cynthi ===Statistical distance=== ...

The '''Ising model''', a [[mathematical model]] in statistical mechanics, is utilized to study magnetic [[Phase transition|phase transitio ...t=Christian P. |last2=Casella |first2=George |date=2004 |title=Monte Carlo Statistical Methods |url=http://dx.doi.org/10.1007/978-1-4757-4145-2 |journal=Springer ...

In statistical [[decision theory]], a '''randomised decision rule''' or '''mixed decision ...n [[Bayesian statistics]], although [[frequentist statistics|frequentist]] statistical theory sometimes requires the use of randomised rules to satisfy optimality ...

== The main statistical model== The central statistical model of Computational Anatomy in the context of [[medical imaging]] has be ...