In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation...

In probability theory, the multidimensional Chebyshev's inequality is a generalization of Chebyshev's inequality, which puts a bound on the probability...

inequalities Chebyshev's bias Chebyshev's inequality in probability and statistics Chebyshev–Cantelli inequality Multidimensional Chebyshev's inequality...

analysis Multicollinearity Multidimensional analysis Multidimensional Chebyshev's inequality Multidimensional panel data Multidimensional scaling Multifactor...

E<1-{\frac {\log n}{n}}} a similar inequality holds for p > 2. For p = ∞ there is an extension to multidimensional polynomials. Proof: Applying Nazarov's...

and Chebyshev inequalities often give much weaker information than is otherwise available. For example, in the case of an unweighted dice, Chebyshev's inequality...

scarcely recognizable form, and studied in detail by Pafnuty Chebyshev in 1859. Chebyshev's work was overlooked, and they were named later after Charles...

these random vectors are independent and identically distributed. The multidimensional central limit theorem states that when scaled, sums converge to a multivariate...

one-sided Chebyshev inequality; it appears in an inequality on location and scale parameters. This formula also follows directly from Cantelli's inequality. For...

Marcinkiewicz–Zygmund inequality / mnt Markov's inequality / (1:R) McDiarmid's inequality Multidimensional Chebyshev's inequality Paley–Zygmund inequality / (1:R) Pinsker's...

Chebyshev's inequality. Since cos , sin {\displaystyle \cos ,\sin } are bounded, there is a stronger convergence guarantee by Hoeffding's inequality.: Claim...

information that a variance does not. For inequalities associated with the semivariance, see Chebyshev's inequality § Semivariances. The term variance was...

canonical transform List of Fourier-related transforms Mellin transform Multidimensional transform NGC 4622, especially the image NGC 4622 Fourier transform...

two-dimensional function with many local minima Shekel function — multimodal and multidimensional Mathematical Optimization Society Numerical integration — the numerical...

volume elements d3ri are also written "dVi" or "dxi dyi dzi". The multidimensional Fourier transforms of the position or position–spin space wave functions...

ISBN 9780471485537. Samet, Hanan (2006). "1.4 Quadtrees". Foundations of Multidimensional and Metric Data Structures. Morgan Kaufmann. pp. 28–48. ISBN 9780123694461...

ISBN 978-3-540-04758-2. Peter K. Friz; Nicolas B. Victoir (2010). Multidimensional Stochastic Processes as Rough Paths: Theory and Applications. Cambridge...