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Algorithms for calculating variance information


Algorithms for calculating variance play a major role in computational statistics. A key difficulty in the design of good algorithms for this problem is that formulas for the variance may involve sums of squares, which can lead to numerical instability as well as to arithmetic overflow when dealing with large values.

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Algorithms for calculating variance

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Algorithms for calculating variance play a major role in computational statistics. A key difficulty in the design of good algorithms for this problem is...

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Standard deviation

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Mathematics portal 68–95–99.7 rule Accuracy and precision Algorithms for calculating variance Chebyshev's inequality An inequality on location and scale...

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List of algorithms

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simulations Glauber dynamics: a method for simulating the Ising Model on a computer Algorithms for calculating variance: avoiding instability and numerical...

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Kahan summation algorithm

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using SIMD processor instructions, and parallel multi-core. Algorithms for calculating variance, which includes stable summation Strictly, there exist other...

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Variance

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equation are similar in magnitude. For other numerically stable alternatives, see Algorithms for calculating variance. If the generator of random variable...

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Online algorithm

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Greedy algorithm Adversary model Metrical task systems Odds algorithm Page replacement algorithm Algorithms for calculating variance Ukkonen's algorithm A...

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Yamartino method

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The Yamartino method is an algorithm for calculating an approximation of the circular variance of wind direction during a single pass through the incoming...

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Squared deviations from the mean

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Algorithms for calculating variance Errors and residuals Least squares Mean squared error Residual sum of squares Root-mean-square deviation Variance...

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List of statistics articles

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Algebraic statistics Algorithmic inference Algorithms for calculating variance All models are wrong All-pairs testing Allan variance Alignments of random...

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Numerical stability

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numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving...

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Median

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minimum-variance mean (for large normal samples), which is to say the variance of the median will be ~50% greater than the variance of the mean. For any real-valued...

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HyperLogLog

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HyperLogLog is an algorithm for the count-distinct problem, approximating the number of distinct elements in a multiset. Calculating the exact cardinality...

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Analysis of variance

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means and variances, dividing two variances and comparing the ratio to a handbook value to determine statistical significance. Calculating a treatment...

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Allan variance

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The Allan variance (AVAR), also known as two-sample variance, is a measure of frequency stability in clocks, oscillators and amplifiers. It is named after...

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Huffman coding

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be very large. It is generally beneficial to minimize the variance of codeword length. For example, a communication buffer receiving Huffman-encoded data...

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Demosaicing

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demosaicing algorithm at work animation Interpolation of RGB components in Bayer CFA images, by Eric Dubois Color Demosaicing Using Variance of Color Differences...

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Monte Carlo integration

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naive Monte Carlo works for simple examples, an improvement over deterministic algorithms can only be accomplished with algorithms that use problem-specific...

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Covariance

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analysis to reduce feature dimensionality in data preprocessing. Algorithms for calculating covariance Analysis of covariance Autocovariance Covariance function...

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Principal component analysis

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typically involve the use of a computer-based algorithm for computing eigenvectors and eigenvalues. These algorithms are readily available as sub-components...

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Normal distribution

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9}}+\cdots \right)} for calculating Φ(x) with arbitrary precision. The drawback of this algorithm is comparatively slow calculation time (for example it takes...

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Nonlinear dimensionality reduction

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problems. Algorithms that operate on high-dimensional data tend to have a very high time complexity. Many machine learning algorithms, for example, struggle...

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Streaming algorithm

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In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be...

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Markov chain Monte Carlo

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Various algorithms exist for constructing such Markov chains, including the Metropolis–Hastings algorithm. MCMC methods are primarily used for calculating numerical...

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Numerical integration

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In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral. The term numerical...

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Heritability

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effect of single alleles. Additive variance represents, therefore, the genetic component of variance responsible for parent-offspring resemblance. The...

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Estimator

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In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity...

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