processes, a stationary sequence is a random sequence whose joint probability distribution is invariant over time. If a random sequence X j is stationary then...

{\textstyle X_{n}=Y_{n}-Y_{n-1}} where Y n {\textstyle Y_{n}} are another stationary sequence. There is a stronger version of the theorem: the assumption E ⁡ [...

2\})} Linear stationary iterative methods are also called relaxation methods. Krylov subspace methods work by forming a basis of the sequence of successive...

stationary state that is the limit of the sequence of distributions for some initial distribution. The values of a stationary distribution π i {\displaystyle \textstyle...

{\displaystyle (X_{n},n\in {\mathbb {N}})} be a strictly stationary ϕ {\displaystyle \phi } -mixing sequence, for which E ( X 0 2 ) < ∞ {\displaystyle \mathbb...

generally converge if the sample sequence comes from sampling almost any stationary process, in which case the sample sequence is not square summable, and...

process also gives rise to a sequence of conditional entropies, comprising more and more random variables. For strongly stationary stochastic processes, the...

Y_{n}=X_{1}X_{2}\cdots X_{n}} be the product of the first n elements of an ergodic stationary sequence of random k × k {\displaystyle k\times k} matrices. With Furstenberg...

Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectral...

multiple particularly dangerous situation (PDS) watches issued across the sequence. On May 19, strong tornadoes occurred with isolated supercells in Colorado...

classes are stationary, and stationary classes are unbounded, but there are stationary classes that are not closed and stationary classes that have no closed...

time-invariant (LTI) filtering of an observed noisy process, assuming known stationary signal and noise spectra, and additive noise. The Wiener filter minimizes...

there exists a ◊-sequence, a family of sets Aα ⊆ α for α < ω1 such that for any subset A of ω1 the set of α with A ∩ α = Aα is stationary in ω1. There are...

theorem Behrens–Fisher problem Linnik, Yu.V. (1971), Independent and stationary sequences of random variables, Series of Monographs and Textbooks on Pure and...

Rosenblatt, M. Stationary Sequences and Random Fields Birkhauser, ISBN 0-8176-3264-6. Grenander Ulf, Rosenblatt M. Statistical Analysis of Stationary Time Series...

whose underlying dynamics are given by a stationary finite Markov chain. An information source is a sequence of random variables ranging over a finite...

Addison-Wesley. Ibragimov, I.; Linnik, Yu (1971). Independent and Stationary Sequences of Random Variables. Wolters-Noordhoff Publishing Groningen, The...

A music sequencer (or audio sequencer or simply sequencer) is a device or application software that can record, edit, or play back music, by handling...

released, it strikes the stationary spheres, compressing them and thereby transmitting a pressure wave through the stationary spheres, which creates a...

Most commonly, a time series is a sequence taken at successive equally spaced points in time. Thus it is a sequence of discrete-time data. Examples of...

the future. It is a component quantity of various measurements used to sequence events, to compare the duration of events (or the intervals between them)...

in sequence. When displaying a natively progressive broadcast or recorded signal, the result is the optimum spatial resolution of both the stationary and...

software Static analysis Stationary distribution Stationary ergodic process Stationary process Stationary sequence Stationary subspace analysis Statistic...

This sequence differs considerably from previous versions: it is incorporated into the film's narrative; it begins with Bond standing stationary (although...

{\displaystyle a^{J}} as the original sequence c J {\displaystyle c^{J}} is required before defining the stationary wavelet transform. a j − 1 = H [ J −...

}\mathrm {E} [-\log c(n,n,X)]} exist and are equal for any stationary process including the stationary ergodic process X. Denote it as H. Argue that both c...

{\displaystyle X_{n}} outside the stationary distribution and initialize another process Y n {\displaystyle Y_{n}} inside the stationary distribution. Couple these...

known as the stationary bootstrap. Other related modifications of the moving block bootstrap are the Markovian bootstrap and a stationary bootstrap method...

obtaining a sequence of random samples from a probability distribution from which direct sampling is difficult. New samples are added to the sequence in two...

process with stationary increments with Hurst index H > 0.5, its increments (consecutive differences of the process) is a stationary LRD sequence. This also...