language:
Find link is a tool written by Edward Betts.Longer titles found: Standard probability space (view), Gaussian probability space (view)
searching for Probability space 101 found (308 total)
alternate case: probability space
Pitman–Yor process
(436 words)
[view diff]
exact match in snippet
view article
find links to article
parameter, a strength parameter θ > −d and a base distribution G0 over a probability space X. When d = 0, it becomes the Dirichlet process. The discount parameterMarkov kernel (2,074 words) [view diff] exact match in snippet view article find links to article
{\displaystyle *} as the terminal object. From this point of view a probability space ( Ω , A , P ) {\displaystyle (\Omega ,{\mathcal {A}},\mathbb {P} )}Stopping time (1,938 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \tau } be a random variable, which is defined on the filtered probability space ( Ω , F , ( F n ) n ∈ N , P ) {\displaystyle (\Omega ,{\mathcal {F}}Snell envelope (404 words) [view diff] exact match in snippet view article find links to article
Snell envelope is named after James Laurie Snell. Given a filtered probability space ( Ω , F , ( F t ) t ∈ [ 0 , T ] , P ) {\displaystyle (\Omega ,{\mathcalPredictable process (273 words) [view diff] exact match in snippet view article find links to article
left-continuous processes.[clarification needed] Given a filtered probability space ( Ω , F , ( F n ) n ∈ N , P ) {\displaystyle (\Omega ,{\mathcal {F}}Probability Sun (667 words) [view diff] case mismatch in snippet view article find links to article
her 2000 publication Probability Moon. It was followed in 2002 by Probability Space, which won the John W. Campbell Memorial Award. The novel concernsRandom regular graph (519 words) [view diff] exact match in snippet view article find links to article
G n , r {\displaystyle {\mathcal {G}}_{n,r}} , which denotes the probability space of all r-regular graphs on n {\displaystyle n} vertices, where 3 ≤Doob's martingale inequality (2,106 words) [view diff] exact match in snippet view article find links to article
inequality is a submartingale relative to a filtration of the underlying probability space. The probability measure on the sample space of the martingale willJeffreys prior (2,564 words) [view diff] exact match in snippet view article find links to article
}}} . That is, the relative probability assigned to a volume of a probability space using a Jeffreys prior will be the same regardless of the parameterizationMultiple-try Metropolis (1,265 words) [view diff] exact match in snippet view article find links to article
uses a Gaussian distribution centered on the current point in the probability space, of the form Q ( x ′ ; x t ) = N ( x t ; σ 2 I ) {\displaystyleDivergence-from-randomness model (2,245 words) [view diff] exact match in snippet view article find links to article
But, more commonly, in order to establish the simpler case when the probability space is invariant in IR, the term independence assumption is often madeNovikov's condition (334 words) [view diff] exact match in snippet view article find links to article
(X_{t})_{0\leq t\leq T}} is a real valued adapted process on the probability space ( Ω , ( F t ) , P ) {\displaystyle \left(\Omega ,({\mathcal {F}}_{t})Consistent pricing process (289 words) [view diff] exact match in snippet view article find links to article
"prices" of assets in a market. It is a stochastic process in a filtered probability space ( Ω , F , { F t } t = 0 T , P ) {\displaystyle (\Omega ,{\mathcalGirsanov theorem (1,564 words) [view diff] exact match in snippet view article find links to article
W t } {\displaystyle \{W_{t}\}} be a Wiener process on the Wiener probability space { Ω , F , P } {\displaystyle \{\Omega ,{\mathcal {F}},P\}} . Let XAlgorithmic Lovász local lemma (2,501 words) [view diff] exact match in snippet view article find links to article
limited dependence. Given a finite set of bad events {A1, ..., An} in a probability space with limited dependence amongst the Ais and with specific bounds onConditional probability distribution (2,144 words) [view diff] exact match in snippet view article find links to article
Let ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} be a probability space, G ⊆ F {\displaystyle {\mathcal {G}}\subseteq {\mathcal {F}}} a σFree convolution (1,138 words) [view diff] exact match in snippet view article find links to article
commutative probability space with law μ {\displaystyle \mu } and Y {\displaystyle Y} is a random variable in the same non commutative probability space withKubilius model (255 words) [view diff] exact match in snippet view article find links to article
Kubilius model relies on a clarification and extension of a finite probability space on which the behaviour of additive arithmetic functions can be modeledErgodic theory (3,727 words) [view diff] exact match in snippet view article find links to article
(For a probability space, μ ( X ) = 1. ) {\displaystyle {\bar {f}}={\frac {1}{\mu (X)}}\int f\,d\mu .\quad {\text{ (For a probability space, }}\mu (X)=1Bhattacharyya angle (210 words) [view diff] exact match in snippet view article find links to article
of distance between two probability measures defined on a finite probability space. It is defined as Δ ( p , q ) = arccos BC ( p , q ) {\displaystyleFree independence (688 words) [view diff] exact match in snippet view article find links to article
on. Let ( A , ϕ ) {\displaystyle (A,\phi )} be a non-commutative probability space, i.e. a unital algebra A {\displaystyle A} over C {\displaystyle \mathbbFeller process (697 words) [view diff] exact match in snippet view article find links to article
needed] Every adapted right continuous Feller process on a filtered probability space ( Ω , F , ( F t ) t ≥ 0 ) {\displaystyle (\Omega ,{\mathcal {F}},({\mathcalGraph dynamical system (1,389 words) [view diff] exact match in snippet view article find links to article
corresponding probabilities. The matching probability space of update sequences induces a probability space of SDS maps. A natural object to study inMartingale pricing (618 words) [view diff] exact match in snippet view article find links to article
Suppose the state of the market can be represented by the filtered probability space, ( Ω , ( F t ) t ∈ [ 0 , T ] , P ~ ) {\displaystyle (\Omega ,({\mathcalMartingale representation theorem (584 words) [view diff] exact match in snippet view article find links to article
{\displaystyle B_{t}} be a Brownian motion on a standard filtered probability space ( Ω , F , F t , P ) {\displaystyle (\Omega ,{\mathcal {F}},{\mathcalSmall-bias sample space (2,439 words) [view diff] exact match in snippet view article find links to article
space, ϵ {\displaystyle \epsilon } -biased generator, or small-bias probability space) is a probability distribution that fools parity functions. In otherOrbit (dynamics) (1,067 words) [view diff] exact match in snippet view article
dynamics, when one has a "nice" group G {\displaystyle G} acting on a probability space X {\displaystyle X} in a measure-preserving way, an orbit G . x ⊂Nancy Kress (727 words) [view diff] case mismatch in snippet view article find links to article
Oct./Nov. 2008 John W. Campbell Memorial Award Best Novel (2003): Probability Space, (Tor Sep. 2002) Theodore Sturgeon Memorial Award Best Short ScienceDegenerate distribution (752 words) [view diff] exact match in snippet view article find links to article
probabilistic framework. Let X: Ω → R be a random variable defined on a probability space (Ω, P). Then X is an almost surely constant random variable ifOptimal stopping (2,545 words) [view diff] exact match in snippet view article find links to article
) t ≥ 0 {\displaystyle G=(G_{t})_{t\geq 0}} defined on a filtered probability space ( Ω , F , ( F t ) t ≥ 0 , P ) {\displaystyle (\Omega ,{\mathcal {F}}Quantum nonlocality (9,415 words) [view diff] exact match in snippet view article find links to article
Q} . Contrary to the classical set of correlations, when viewed in probability space, Q {\displaystyle Q} is not a polytope. On the contrary, it containsLovász local lemma (2,000 words) [view diff] exact match in snippet view article find links to article
{\mathcal {A}}=\{A_{1},\ldots ,A_{n}\}} be a finite set of events in the probability space Ω. For A ∈ A {\displaystyle A\in {\mathcal {A}}} let Γ ( A ) {\displaystyleChain rule (probability) (2,325 words) [view diff] exact match in snippet view article
, P ) {\displaystyle (\Omega ,{\mathcal {A}},\mathbb {P} )} be a probability space. Recall that the conditional probability of an A ∈ A {\displaystyleCharacterization of probability distributions (1,031 words) [view diff] exact match in snippet view article find links to article
distribution was described by V.M. Zolotarev [ru] in such manner. On the probability space we define the space X = { X } {\displaystyle {\mathcal {X}}=\{X\}}Random graph (2,187 words) [view diff] exact match in snippet view article find links to article
random forest. Consider a given random graph model defined on the probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} and let PSemimartingale (1,792 words) [view diff] exact match in snippet view article find links to article
semimartingales. A real valued process X defined on the filtered probability space (Ω,F,(Ft)t ≥ 0,P) is called a semimartingale if it can be decomposedRobust statistics (5,778 words) [view diff] exact match in snippet view article find links to article
population: ( Ω , A , P ) {\displaystyle (\Omega ,{\mathcal {A}},P)} is a probability space, ( X , Σ ) {\displaystyle ({\mathcal {X}},\Sigma )} is a measurableBinomial regression (2,055 words) [view diff] exact match in snippet view article find links to article
zero to one; it is sometimes used for this type of data when the probability space is where interpretation occurs or when the analyst lacks sufficientErdős–Tetali theorem (1,718 words) [view diff] exact match in snippet view article find links to article
that the above formula is well-defined. A detailed discussion on the probability space associated with this type of construction may be found on HalberstamVariance swap (2,172 words) [view diff] exact match in snippet view article find links to article
W=(W_{t})_{0\leq t\leq T}} is a Brownian motion under the filtered probability space ( Ω , F , F , Q ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {F}Field of sets (3,670 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mu } is in fact a probability measure we speak of a probability space and call its underlying measurable space a sample space. The pointsMonte Carlo methods in finance (4,057 words) [view diff] exact match in snippet view article find links to article
also Monte Carlo method). Thus if we suppose that our risk-neutral probability space is P {\displaystyle \mathbb {P} } and that we have a derivative HNoncrossing partition (758 words) [view diff] exact match in snippet view article find links to article
ϕ ) {\displaystyle ({\mathcal {A}},\phi )} be a non-commutative probability space (See free probability for terminology.), a ∈ A {\displaystyle a\inPettis integral (2,100 words) [view diff] exact match in snippet view article find links to article
{\displaystyle (\Omega ,{\mathcal {F}},\operatorname {P} )} be a probability space, and let V {\displaystyle V} be a topological vector space with aUniform integrability (2,166 words) [view diff] exact match in snippet view article find links to article
Suppose ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a probability space. A classed C {\displaystyle {\mathcal {C}}} of random variables isMarkov's inequality (2,097 words) [view diff] exact match in snippet view article find links to article
(|X|^{n})}{a^{n}}}.} We separate the case in which the measure space is a probability space from the more general case because the probability case is more accessibleBound state (2,320 words) [view diff] exact match in snippet view article find links to article
space ( X , A , μ ) {\displaystyle (X,{\mathcal {A}},\mu )} be a probability space associated with separable complex Hilbert space H {\displaystyle H}Calibration (statistics) (1,427 words) [view diff] exact match in snippet view article
Martin (2009). Multivariate calibration of classifier scores into the probability space (PDF) (PhD thesis). University of Dortmund. M.P. Naeini, G. CooperOdds (4,198 words) [view diff] exact match in snippet view article find links to article
given odds as a ratio of integers, this can be represented by a probability space of a finite number of equally likely outcomes. These definitions areVolatility swap (1,748 words) [view diff] exact match in snippet view article find links to article
W=(W_{t})_{0\leq t\leq T}} is a Brownian motion under the filtered probability space ( Ω , F , F , Q ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {F}Affiliated operator (800 words) [view diff] exact match in snippet view article find links to article
operator with ATA = A. Of course in the classical case when X is a probability space and M = L∞ (X), we simply recover the *-algebra of measurable functionsG-expectation (856 words) [view diff] exact match in snippet view article find links to article
differential equation (BSDE) originally developed by Shige Peng. Given a probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {P} )}Wasserstein metric (5,169 words) [view diff] exact match in snippet view article find links to article
further to yield: Theorem (Kantorovich-Rubenstein duality) — When the probability space Ω {\displaystyle \Omega } is a metric space, then for any fixed KSelf-financing portfolio (692 words) [view diff] exact match in snippet view article find links to article
arbitrage-free derivative pricing. Assume we are given a discrete filtered probability space ( Ω , F , { F t } t = 0 T , P ) {\displaystyle (\Omega ,{\mathcalBayesian game (3,233 words) [view diff] exact match in snippet view article find links to article
be essentially modelled as having incomplete information and the probability space of the game still follows the law of total probability. Bayesian gamesΣ-Algebra of τ-past (333 words) [view diff] exact match in snippet view article find links to article
theory. Let τ {\displaystyle \tau } be a stopping time on the filtered probability space ( Ω , A , ( F t ) t ∈ T , P ) {\displaystyle (\Omega ,{\mathcal {A}}Dubins–Schwarz theorem (386 words) [view diff] exact match in snippet view article find links to article
\langle M\rangle _{\infty }=\infty } guarantees that the underlying probability space is rich enough so that the Brownian motion exists. If one removesHenri Lebesgue (2,082 words) [view diff] exact match in snippet view article find links to article
Lebesgue spine Lebesgue's universal covering problem Lebesgue–Rokhlin probability space Lebesgue–Stieltjes integration Lebesgue–Vitali theorem Blaschke–LebesgueStationary process (2,738 words) [view diff] exact match in snippet view article find links to article
Hilbert space of all square-integrable random variables on the given probability space). By the positive definiteness of the autocovariance function, itDoob martingale (1,320 words) [view diff] exact match in snippet view article find links to article
X n } {\displaystyle \left\{X_{1},X_{2},\dots ,X_{n}\right\}} on probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},{\text{P}})}Latin letters used in mathematics, science, and engineering (3,835 words) [view diff] exact match in snippet view article find links to article
arbitrary functor a field an event space sigma algebra as part of a probability space, often as F {\displaystyle {\mathcal {F}}} f represents: the unitNancy Kress bibliography (1,561 words) [view diff] case mismatch in snippet view article find links to article
Probability Moon, (Tor July 2000) Probability Sun, (Tor July 2001) Probability Space, (Tor Sep. 2002) Greentrees Crossfire, (Tor Feb. 2003) Crucible, (TorBierlein's measure extension theorem (362 words) [view diff] exact match in snippet view article find links to article
wikipedia.org/v1/":): {\displaystyle (X,\mathcal{A},\mu)} be a probability space and S ⊂ P ( X ) {\displaystyle {\mathcal {S}}\subset {\mathcal {P}}(X)}Mixing (mathematics) (4,673 words) [view diff] exact match in snippet view article
{\displaystyle (X_{t})_{-\infty <t<\infty }} be a stochastic process on a probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {P} )}Degree-preserving randomization (1,243 words) [view diff] exact match in snippet view article find links to article
degree preserving graphs from the real graph, we can then create a probability space for characteristics, such as reciprocity and average path length,Generic property (1,640 words) [view diff] exact match in snippet view article find links to article
This is the definition in the measure theory case specialized to a probability space. In discrete mathematics, one uses the term almost all to mean cofiniteAcceptance set (790 words) [view diff] exact match in snippet view article find links to article
acceptable to the regulator. It is related to risk measures. Given a probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {P} )}List of probabilistic proofs of non-probabilistic theorems (1,849 words) [view diff] exact match in snippet view article find links to article
measure-preserving action action of a discrete, countable group on a standard probability space. A number of theorems stating existence of graphs (and other discreteMaximal function (1,467 words) [view diff] exact match in snippet view article find links to article
in Rn. Let ( X , B , m ) {\displaystyle (X,{\mathcal {B}},m)} be a probability space, and T : X → X a measure-preserving endomorphism of X. The maximalJohn W. Campbell Memorial Award for Best Science Fiction Novel (1,861 words) [view diff] case mismatch in snippet view article find links to article
Arabesk Earthlight Connie Willis Passage Bantam Books 2003 Nancy Kress* Probability Space Tor Books David Brin Kiln People Tor Books Robert J. Sawyer HominidsDynamical system (7,067 words) [view diff] exact match in snippet view article find links to article
(usually the non-negative integers), X is a set, and (X, Σ, μ) is a probability space, meaning that Σ is a sigma-algebra on X and μ is a finite measureAssociative algebra (4,449 words) [view diff] exact match in snippet view article find links to article
multiplied pointwise. The set of semimartingales defined on the filtered probability space (Ω, F, (Ft)t≥0, P) forms a ring under stochastic integration.[citationFreehold (novel) (1,108 words) [view diff] case mismatch in snippet view article
behind Thief of Lives but ahead of Engine City, Heirs of Earth and Probability Space. Freehold was nominated for the 2005 Prometheus Award for best libertarianBessel's correction (3,201 words) [view diff] exact match in snippet view article find links to article
the variance if we had a discrete random variable on the discrete probability space { 1 , … , n } {\displaystyle \{1,\ldots ,n\}} that had value x k {\displaystyleRademacher complexity (2,607 words) [view diff] exact match in snippet view article find links to article
the goal of measuring their ability to classify points drawn from a probability space under arbitrary labellings. When the function class is rich enoughPrior probability (6,690 words) [view diff] exact match in snippet view article find links to article
can be taken out of the integral, and as this integral is over a probability space it equals one. Hence we can write the asymptotic form of KL as K LQuantum cognition (3,478 words) [view diff] exact match in snippet view article find links to article
contextual process, hence it cannot be modeled in a single Kolmogorovian probability space, which justifies the employment of quantum probability models in decisionCantor set (6,916 words) [view diff] exact match in snippet view article find links to article
is an image of any probability, making the Cantor set a universal probability space in some ways. In Lebesgue measure theory, the Cantor set is an exampleItô calculus (4,461 words) [view diff] exact match in snippet view article find links to article
continuous-time stochastic processes, it is assumed that an underlying filtered probability space is given ( Ω , F , ( F t ) t ≥ 0 , P ) . {\displaystyle (\Omega ,{\mathcalPoint process (4,546 words) [view diff] exact match in snippet view article find links to article
[clarification needed] To define general point processes, we start with a probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} , and a measurableStochastic ordering (2,289 words) [view diff] exact match in snippet view article find links to article
variables ( X α ) α {\displaystyle (X_{\alpha })_{\alpha }} on the same probability space, such that the distribution of X α {\displaystyle X_{\alpha }} isJohn Kieffer (1,037 words) [view diff] exact match in snippet view article find links to article
Shannon-McMillan theorem for the action of an amenable group on a probability space", Annals of Probability, 3 (6): 1031–1037, doi:10.1214/aop/1176996230Automated trading system (2,914 words) [view diff] exact match in snippet view article find links to article
could be used for trend following strategy: "Consider a complete probability space (Ω, F, P). Let S r {\displaystyle S_{r}} denote the stock price atÉtienne Halphen (1,197 words) [view diff] exact match in snippet view article find links to article
functions 1955b Subjective probability 1957 Properties of a discrete probability space invariant under permutation of its points An overview of Halphen'sHyperfinite equivalence relation (1,671 words) [view diff] exact match in snippet view article find links to article
countable Borel equivalence relation E on a standard non-atomic Borel probability space (X, μ {\displaystyle \mu } ) that admits a Borel transversal is aInformation bottleneck method (3,658 words) [view diff] exact match in snippet view article find links to article
increased from zero, increasing numbers of features, in the category probability space, snap into focus at certain critical thresholds. The following caseContinuous-time Markov chain (4,241 words) [view diff] exact match in snippet view article find links to article
Let ( Ω , A , Pr ) {\displaystyle (\Omega ,{\cal {A}},\Pr )} be a probability space, let S {\displaystyle S} be a countable nonempty set, and let T =Dempster–Shafer theory (4,962 words) [view diff] exact match in snippet view article find links to article
Events of this kind would not be modeled as distinct entities in probability space as they are here in mass assignment space. Rather the event "Red orÉmery topology (288 words) [view diff] exact match in snippet view article find links to article
{\displaystyle (\Omega ,{\mathcal {A}},\{{\mathcal {F_{t}}}\},P)} be a filtred probability space, where the filtration satisfies the usual conditions and T ∈ ( 0Network science (10,277 words) [view diff] exact match in snippet view article find links to article
graph model or p* is a notational framework used to represent the probability space of a tie occurring in a social network. An alternate approach to networkIntensity of counting processes (748 words) [view diff] exact match in snippet view article find links to article
s {\displaystyle \Lambda (t)=\int _{0}^{t}\lambda (s)ds} . Given probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {P} )}List of Touhou Project characters (21,577 words) [view diff] case mismatch in snippet view article find links to article
Kitashirakawa) Species: Human Ability: Artificial Magic Residence: Probability Space Hypervessel Yumemi's assistant who acts overly familiar towards herOption on realized variance (1,072 words) [view diff] exact match in snippet view article find links to article
W=(W_{t})_{0\leq t\leq T}} is a Brownian motion under the filtered probability space ( Ω , F , F , Q ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {F}Itô–Nisio theorem (503 words) [view diff] exact match in snippet view article find links to article
symmetric E{\displaystyle E}-valued random variables defined on the same probability space Sn=∑i=1nXn{\displaystyle S_{n}=\sum _{i=1}^{n}X_{n}} μn{\displaystyleKramkov's optional decomposition theorem (503 words) [view diff] exact match in snippet view article find links to article
(\Omega ,{\mathcal {A}},\{{\mathcal {F}}_{t}\},P)} be a filtered probability space with the filtration satisfying the usual conditions. A d {\displaystyleOption on realized volatility (1,091 words) [view diff] exact match in snippet view article find links to article
W=(W_{t})_{0\leq t\leq T}} is a Brownian motion under the filtered probability space ( Ω , F , F , Q ) {\displaystyle (\Omega ,{\mathcal {F}},\mathbb {F}Conditioning (probability) (6,865 words) [view diff] exact match in snippet view article
where x runs over (−1,1), and these events are a partition of the probability space. In order to avoid paradoxes (such as the Borel's paradox), the followingDeficiency (statistics) (1,261 words) [view diff] exact match in snippet view article
{F}}} . Le Cam defined the statistical model more abstract than a probability space with a family of probability measures. He also didn't use the termFreddy Delbaen (668 words) [view diff] exact match in snippet view article find links to article
he introduced the concept of (coherent) risk measure on a finite probability space. Delbaen later generalized the concept to general probability spacesKernel embedding of distributions (9,735 words) [view diff] exact match in snippet view article find links to article
substantial portion of the probability mass to all regions of the probability space (much of which may not be represented in the training examples). InGerman Army cryptographic systems of World War II (4,418 words) [view diff] exact match in snippet view article find links to article
cryptologists seem to have never realised the true reduction of Enigma's probability space under real conditions, particularly those reductions arising from