negative binomial distribution
1Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …
2Extended negative binomial distribution — In probability and statistics the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution.The distribution appeared in its general form in a paper by K. Hess, A. Liewald and K.D …
3Negative multinomial distribution — notation: parameters: k0 ∈ N0 the number of failures before the experiment is stopped, p ∈ Rm m vector of “success” probabilities, p0 = 1 − (p1+…+pm) the probability of a “failure”. support …
4Binomial 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… …
5Binomial 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… …
6Binomial 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… …
7Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …
8Discrete phase-type distribution — The discrete phase type distribution is a probability distribution that results from a system of one or more inter related geometric distributions occurring in sequence, or phases. The sequence in which each of the phases occur may itself be a… …
9Geometric distribution — Probability distribution two name =Geometric type =mass pdf cdf | parameters =0< p leq 1 success probability (real) support =k in {1,2,3,dots}! pdf =(1 p)^{k 1},p! cdf =1 (1 p)^k! mean =frac{1}{p}! median =leftlceil frac{ log(2)}{log(1 p)} ight… …
10Logarithmic distribution — Probability distribution name =Logarithmic type =mass pdf cdf parameters =0 < p < 1! support =k in {1,2,3,dots}! pdf =frac{ 1}{ln(1 p)} ; frac{;p^k}{k}! cdf =1 + frac{Beta p(k+1,0)}{ln(1 p)}! mean =frac{ 1}{ln(1 p)} ; frac{p}{1 p}! median = mode …
