The binomial approximation is useful for approximately calculating powers of numbers close to 1. It states that if is a
:
This approximation can be obtained by using the
The left-hand side of this relation is always greater than or equal to the right-hand side for and a non-negative integer, by
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Binomial probability — typically deals with the probability of several successive decisions, each of which has two possible outcomes. Definition The probability of an event can be expressed as a binomial probability if its outcomes can be broken down into two… … Wikipedia
Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… … Wikipedia
Approximation De Bernstein — L approximation de Bernstein est une méthode d approximation polynomiale permettant d approcher uniformément une fonction continue définie sur l intervalle par une famille de polynômes, appelés polynômes de Bernstein. Cela donne une version… … Wikipédia en Français
Approximation de bernstein — L approximation de Bernstein est une méthode d approximation polynomiale permettant d approcher uniformément une fonction continue définie sur l intervalle par une famille de polynômes, appelés polynômes de Bernstein. Cela donne une version… … Wikipédia en Français
Binomial proportion confidence interval — In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for … Wikipedia
Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… … Wikipedia
Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… … Wikipedia
Approximation de Bernstein — En analyse, l approximation de Bernstein est une méthode d approximation polynomiale, permettant d approcher uniformément une fonction continue f définie sur l intervalle [0,1] par une suite de combinaisons linéaires des polynômes de Bernstein.… … Wikipédia en Français
Binomial options pricing model — BOPM redirects here; for other uses see BOPM (disambiguation). In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and… … 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
