Overload List
| # | Signature | Description |
|---|---|---|
| 1 | void BinomPDF(TMtxVecInt X, Int32 n, Double P, TDenseMtxVec Res) | Binomial PDF (vectorized). |
| 2 | Double BinomPDF(Int32 x, Int32 N, Double p) | Binomial probability mass function (PMF). |
Overload 1: void BinomPDF(TMtxVecInt X, Int32 n, Double P, TDenseMtxVec Res)
Binomial PDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix with integer values on closec interval [0,n]. |
| 2 | n | Defines number of trials. n must be a positive integer. |
| 3 | P | Defines success probability. p must lie on the [0,1] closed interval. |
| 4 | Res | After calculation stores the PDF calculated using X, n and p. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X. |
Result: stored in self (calling object)
Overload 2: Double BinomPDF(Int32 x, Int32 N, Double p)
Binomial probability mass function (PMF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, integer on the closed interval [0,N]. |
| 2 | N | Number of trials |
| 3 | N must be a positive integer. | |
| 4 | p | Success probability |
| 5 | p must lie on the closed interval [0,1]. |
Returns: Double - the binomial probability mass function (PMF). Returns NAN when p is outside [0,1], N<=0, or x>N.
Remarks:
Computes the binomial PMF, the probability of observing exactly x successes in N independent Bernoulli trials each with success probability p:
PMF(x| N,p)=binomNx p^x (1-p)^(N-x), x=0,1,...,N
Domain: x in {0,1,...,N}, N >= 1, p in [0,1]. For p not in [0,1], N <= 0 or x>N the result is NaN.
To recognize a situation that involves a binomial random variable, the following assumptions must be met:
- The experiment consists of a fixed number, N, of Bernoulli trials that result in either success or failure.
- The trials are identical and independent, so the success probability p remains the same from trial to trial.
- The random variable x denotes the number of successes obtained in the N trials.