Overload List
| # | Signature | Description |
|---|---|---|
| 1 | double BinomCDF(int x, int N, double p); | Binomial cumulative distribution function (CDF). |
| 2 | void BinomCDF(TMtxVecInt *X, int n, double P, TDenseMtxVec *Res); | Binomial CDF (vectorized). |
Overload 1: double BinomCDF(int x, int N, double p);
Binomial cumulative distribution function (CDF).
| # | Name | Type | Description |
|---|---|---|---|
| 1 | x | int | Function domain, integer on the closed interval [0,N]. |
| 2 | N | int | Number of trials; N must be a positive integer. |
| 3 | p | double | Success probability; p must lie on the closed interval [0,1]. |
Returns: the binomial cumulative distribution function (CDF). Returns NAN when p is outside [0,1], N<=0, or x>N.
Remarks:
Computes the binomial CDF, the probability of observing up to x successes in N independent trials with success probability p:
CDF(x| N,p)=sum_(j=0)^xbinomNj p^j (1-p)^(N-j)=I_(1-p)(N-x, x+1)
where I_z(a,b) is the regularized incomplete beta function (the implementation evaluates 1-I_p(x+1,N-x)). Domain: x in {0,...,N}, N >= 1, p in [0,1]; otherwise the result is NaN.
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler
Overload 2: void BinomCDF(TMtxVecInt *X, int n, double P, TDenseMtxVec *Res);
Binomial CDF (vectorized).
| # | Name | Type | Description |
|---|---|---|---|
| 1 | X | TMtxVecInt * | Defines distribution domain, real vector or matrix with integer values on closec interval [0,n]. |
| 2 | n | int | Defines number of trials. n must be a positive integer. |
| 3 | P | double | Defines success probability. p must lie on the [0,1] closed interval. |
| 4 | Res | TDenseMtxVec * | After calculation stores the CDF calculated using X, n and p. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X. |
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler