factorial moment
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Factorial moment — In probability theory, the nth factorial moment of a probability distribution, also called the nth factorial moment of any random variable X with that probability distribution, is[1] where is the falling factorial (confusingly, this same notation … Wikipedia
Factorial moment generating function — In probability theory and statistics, the factorial moment generating function of the probability distribution of a real valued random variable X is defined as:M X(t)=operatorname{E}igl [t^{X}igr] for all complex numbers t for which this… … Wikipedia
Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… … Wikipedia
Moment (mathematics) — Second moment redirects here. For the technique in probability theory, see Second moment method. See also: Moment (physics) Increasing each of the first four moments in turn while keeping the others constant, for a discrete uniform distribution… … Wikipedia
List of factorial and binomial topics — This is a list of factorial and binomial topics in mathematics, by Wikipedia page. See also binomial (disambiguation).*Alternating factorial *Antichain *Beta function *Binomial coefficient *Binomial distribution *Binomial proportion confidence… … Wikipedia
List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
List of probability topics — This is a list of probability topics, by Wikipedia page. It overlaps with the (alphabetical) list of statistical topics. There are also the list of probabilists and list of statisticians.General aspects*Probability *Randomness, Pseudorandomness,… … Wikipedia
Probability-generating function — In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are… … Wikipedia
Bunching parameter — In statistics as applied in particular in particle physics, when fluctuations of some observables are measured,it is convenient to transform the multiplicity distribution to the bunching parameters::eta q =frac{q}{q 1}frac{P q P {q 2{P {q… … Wikipedia
Superprocess — An (alpha,d,eta) superprocess, X(t,dx), is a stochastic process on mathbb{R} imes mathbb{R}^d that is usually constructed as a special limit of branching diffusion where the branching mechanism is given by its factorial moment generating… … Wikipedia
