nbinrnd
Negative binomial random numbers
Syntax
RND = nbinrnd(R,P)
RND = nbinrnd(R,P,m,n,...)
RND = nbinrnd(R,P,[m,n,...])
Description
RND = nbinrnd(R,P)
is a matrix of random numbers chosen from a negative binomial distribution with corresponding number of successes,R
and probability of success in a single trial,P
.R
andP
can be vectors, matrices, or multidimensional arrays that have the same size, which is also the size ofRND
. A scalar input forR
orP
is expanded to a constant array with the same dimensions as the other input.
RND = nbinrnd(R,P,m,n,...)
orRND = nbinrnd(R,P,[m,n,...])
generates anm
-by-n
-by-... array. TheR
,P
parameters can each be scalars or arrays of the same size asR
.
The simplest motivation for the negative binomial is the case of successive random trials, each having a constant probabilityP
of success. The number ofextratrials you must perform in order to observe a given numberR
of successes has a negative binomial distribution. However, consistent with a more general interpretation of the negative binomial,nbinrnd
allowsR
to be any positive value, including nonintegers.
Examples
Suppose you want to simulate a process that has a defect probability of 0.01. How many units might Quality Assurance inspect before finding three defective items?
r = nbinrnd(3,0.01,1,6)+3 r = 496 142 420 396 851 178