Binomial number information

theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence...

In mathematics, specifically in number theory, a binomial number is an integer which can be obtained by evaluating a homogeneous polynomial containing...

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem...

mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is...

theory and statistics, the negative binomial distribution is a discrete probability distribution that models the number of failures in a sequence of independent...

In statistics, the binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations...

words, a binomial proportion confidence interval is an interval estimate of a success probability   p   {\displaystyle \ p\ } when only the number of experiments...

In taxonomy, binomial nomenclature ("two-term naming system"), also called binary nomenclature, is a formal system of naming species of living things by...

In computer science, a binomial heap is a data structure that acts as a priority queue. It is an example of a mergeable heap (also called meldable heap)...

In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses...

In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences. It is closely...

binomial regression is a regression analysis technique in which the response (often referred to as Y) has a binomial distribution: it is the number of...

In mathematics, the binomial series is a generalization of the polynomial that comes from a binomial formula expression like ( 1 + x ) n {\displaystyle...

In probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials...

Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients...

filters) Binomial series Binomial theorem Binomial transform Binomial type Carlson's theorem Catalan number Fuss–Catalan number Central binomial coefficient...

The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that ( 1 + x ) α ≈ 1 + α x . {\displaystyle...

In mathematics the nth central binomial coefficient is the particular binomial coefficient ( 2 n n ) = ( 2 n ) ! ( n ! ) 2 = ∏ k = 1 n n + k k  for all ...

The binomial system (Spanish: Sistema binominal) is a voting system that was used in the legislative elections of Chile between 1989 and 2013. From an...

which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities p n ( x + y ) = ∑ k = 0...

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success"...

limit of a binomial distribution, for which the probability of success for each trial equals λ divided by the number of trials, as the number of trials...

A binomial process is a special point process in probability theory. Let P {\displaystyle P} be a probability distribution and n {\displaystyle n} be a...