mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes. Bernoulli schemes appear naturally...

chain is isomorphic to a Bernoulli scheme; thus, one might equally claim that Markov chains are a "special case" of Bernoulli schemes. The isomorphism generally...

generalization is known as the Bernoulli scheme. The problem of determining the process, given only a limited sample of Bernoulli trials, may be called the...

Jacob Bernoulli (also known as James in English or Jacques in French; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was a Swiss mathematician...

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success"...

of Bernoulli Bernoulli distribution Bernoulli process Bernoulli scheme Bernoulli trial Bernoulli map Bernoulli operator Bernoulli sampling Bernoulli random...

processes Basic affine jump diffusion Bernoulli process: discrete-time processes with two possible states. Bernoulli schemes: discrete-time processes with N...

is the Bernoulli scheme. The transfer operator L k {\displaystyle {\mathcal {L}}_{k}} corresponding to the shift operator on the Bernoulli scheme is given...

theorem is a deep result in ergodic theory. It states that if two Bernoulli schemes have the same Kolmogorov entropy, then they are isomorphic. The result...

Bernoulli family of Basel. Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli Society...

that every stationary stochastic process is equivalent to a Bernoulli scheme (a Bernoulli process with an N-sided (and possibly unfair) gaming die). Other...

transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e., recurrence relation)...

continued fractions and is closely related to the Riemann zeta function. Bernoulli scheme Shift of finite type Krein–Rutman theorem Transfer-matrix method Gaspard...

(so that the random variable may take one of N possible values) is a Bernoulli scheme. Other examples of a discrete-time stationary process with continuous...

Gibbs measure of the Ising model, percolation theory, and finite Bernoulli schemes, within which he proved an approximate version of the classical Kolmogorov's...

Girl paradox Adapted process Basic affine jump diffusion Bernoulli process Bernoulli scheme Branching process Point process Chapman–Kolmogorov equation...

the unit circle, and T a rotation. See equidistribution theorem; the Bernoulli scheme; the interval exchange transformation; with the definition of an appropriate...

Bayesian structural time series Bees algorithm Behavioral clustering Bernoulli scheme Bias–variance tradeoff Biclustering BigML Binary classification Bing...

Berkson's paradox Berlin procedure Bernoulli distribution Bernoulli process Bernoulli sampling Bernoulli scheme Bernoulli trial Bernstein inequalities (probability...

of the adjacency matrix are 1. The full n-shift corresponds to the Bernoulli scheme without the measure. By convention, the term shift is understood to...

BLISS (short for Bimodal Lattice Signature Scheme) is a digital signature scheme proposed by Léo Ducas, Alain Durmus, Tancrède Lepoint and Vadim Lyubashevsky...

Almost surely / (1:C) (LS:D) Asymptotic equipartition property / (S:DC) Bernoulli scheme / (S:D) Branching process / (S:D) Chinese restaurant process / (S:D)...

In statistics, a Pólya urn model (also known as a Pólya urn scheme or simply as Pólya's urn), named after George Pólya, is a family of urn models that...

usually the Crank–Nicolson scheme is the most accurate scheme for small time steps. For larger time steps, the implicit scheme works better since it is...

Frequency Model BB2 Bernoulli-Einstein model with Bernoulli after-effect and normalization 2. IFB2 Inverse Term Frequency model with Bernoulli after-effect and...

Newton. Bernoulli’s original uses the French word "comme" and not the Latin "tanquam". In his June 1697 "Lettre de Mr. Bernoulli à l’Auteur" Bernoulli writes...

numerical scheme, a low CFL number is not required for stability, however, it is required for numerical accuracy. We can now write the scheme as ( 1 +...

a Bernoulli process, which has a geometric distribution starting at 0. The best choice of parameter M is a function of the corresponding Bernoulli process...

in document classification (include spam filtering), multinomial and Bernoulli distributions are popular. These assumptions lead to two distinct models...

continuously distributed values Basic distributions: Bernoulli distribution, for the outcome of a single Bernoulli trial (e.g. success/failure, yes/no) Binomial...