(combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as "n choose k"

(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

plural of binomial name

plural of binomial distribution

(mathematics) The Maclaurin series expansion of the function f(x) = (1 + x)^α, for arbitrary complex α; the series ∑ₖ₌₀ ᪲𝛼 choose kxᵏ, where 𝛼 choose k=(𝛼(𝛼-1)(𝛼-2)…(𝛼-k+1))/(k!).

(statistics) A discrete probability distribution of the number of successes in a sequence of independent and identically distributed Bernoulli trials before a specified (non-random) number of failures (denoted r) occurs.

plural of negative binomial distribution

A proponent of binomialism.

plural of binomialist