In probability theory, a stochastic process is said to be continuous in probability or stochastically continuous if its distributions converge whenever the values in the index set converge. [1][2]
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Brownian motion, then there is a continuity equation for its probability distribution. The flux in this case is the probability per unit area per unit time...
{\displaystyle s} . Feller processes are continuous inprobability at t = 0 {\displaystyle t=0} . Continuityinprobability is a sometimes used as one of the defining...
particular: continuity with probability one implies continuityinprobability; continuityin mean-square implies continuityinprobability; continuity with probability...
process, continuityinprobability is equivalent to mean-square continuity,: 145 and continuity with probability one is equivalent to sample continuity.: 91...
applied to the conic sections and related shapes Inprobability theory Continuous stochastic process Continuity equations applicable to conservation of mass...
probability distribution functions accurately, continuity corrections played an important role in the practical application of statistical tests in which...
Inprobability theory, there exist several different notions of convergence of sequences of random variables, including convergence inprobability, convergence...
current (i.e. the probability current density) is related to the probability density function via a continuity equation. The probability current is invariant...
Bayesian probability (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or...
subsets of probability 0. Some examples of the use of this concept include the strong and uniform versions of the law of large numbers, the continuity of the...
Inprobability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes...
In calculus and real analysis, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity. The notion...
In quantum mechanics, a probability amplitude is a complex number used for describing the behaviour of systems. The square of the modulus of this quantity...
An additive process, inprobability theory, is a cadlag, continuous inprobability stochastic process with independent increments. An additive process...
Inprobability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...
catalog of articles inprobability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors...
In measure theory, a branch of mathematics, a continuity set of a measure μ is any Borel set B such that μ ( ∂ B ) = 0 , {\displaystyle \mu (\partial B)=0\...
sample data. The binomial test is useful to test hypotheses about the probability ( π {\displaystyle \pi } ) of success: H 0 : π = π 0 {\displaystyle H_{0}\colon...
local Dini continuity implies convergence of a Fourier transform. Stenflo, Örjan (2001). "A note on a theorem of Karlin". Statistics & Probability Letters...
In statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series...
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