In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually...

from an abstract representation Realization (metrology), a physical form of a measurement standard Realization (probability), an actually observed value...

probability of occurrence of the other or, equivalently, does not affect the odds. Similarly, two random variables are independent if the realization...

Rayleigh distribution Rayleigh mixture distribution Raw score Realization (probability) Recall bias Receiver operating characteristic Reciprocal distribution...

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes...

Probability space – Mathematical concept Realization (probability) – Observed value of a random variable "Outcome - Probability - Math Dictionary". HighPointsLearning...

In probability and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the...

In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random...

In probability and statistics, a random variate or simply variate is a particular outcome or realization of a random variable; the random variates which...

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...

cumulative probability is formally written P ( X ≤ x ) {\displaystyle P(X\leq x)} to distinguish the random variable from its realization. The probability is...

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally...

In probability theory and statistics, Student's t distribution (or simply the t distribution)   t ν   {\displaystyle \ t_{\nu }\ } is a continuous probability...

In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...

normalization constant to ensure that the total probability is 1. In the above equations x {\displaystyle x} is a realization—an observed value that actually occurred—of...

In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If...

The graph realization problem is a decision problem in graph theory. Given a finite sequence ( d 1 , … , d n ) {\displaystyle (d_{1},\dots ,d_{n})} of...

The term random walk was first introduced by Karl Pearson in 1905. Realizations of random walks can be obtained by Monte Carlo simulation. A popular...

discipline of probability management in 2006. The topic is also explored at length in. Vectors of simulated realizations of probability distributions...

calculating the probability of seeing that data under different parameter values of the model. It is constructed from the joint probability distribution...

from the probability of a particular event occurring from a random variable. It can be thought of as an alternative way of expressing probability, much like...

Appendix:Glossary of probability and statistics in Wiktionary, the free dictionary. This glossary of statistics and probability is a list of definitions...

expectation of an unknown distribution from a realization of the sequence, but also any feature of the probability distribution. By applying Borel's law of...

The main target of this type of experiments is to highlight the realization probability of a coherent amplification of THz sound. The THz stimulated phonon...

Wiener process for any nonzero constant α. The Wiener measure is the probability law on the space of continuous functions g, with g(0) = 0, induced by...

realization of the Boolean model B {\displaystyle {\mathcal {B}}} . More precisely, the parameters are λ {\displaystyle \lambda } and a probability distribution...

rather than matching which has 52% of winning (where p is the probability of positive realization, the result of matching would be p 2 + ( 1 − p ) 2 {\displaystyle...

effect, it is the Wigner–Weyl transform of the density matrix, so the realization of that operator in phase space. It was later rederived by Jean Ville...

stochastic processes whose realizations are probability distributions. In other words, a Dirichlet process is a probability distribution whose range is...

Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical...