# Random Numbers from a Discrete Distribution

버전 1.7.0.0 (2.11 KB) 작성자:
Simple algorithm to generate random numbers from a user-defined discrete probability distribution.
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업데이트 날짜: 2012/3/21

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GENDIST - generate random numbers according to a discrete probability distribution
Tristan Ursell, 2011.

T = gendist(P,N,M)
T = gendist(P,N,M,'plot')

The function gendist(P,N,M) takes in a positive vector P whose values form a discrete probability distribution for the indices of P. The function outputs an N x M matrix of integers corresponding to the indices of P chosen at random from the given underlying distribution.

P will be normalized, if it is not normalized already. Both N and M must be greater than or equal to 1. The optional parameter 'plot' creates a plot displaying the input distribution in red and the generated points as a blue histogram.

Conceptual EXAMPLE:

If P = [0.2 0.4 0.4] (note sum(P)=1), then T can only take on values of 1, 2 or 3, corresponding to the possible indices of P. If one calls gendist(P,1,10), then on average the output T should contain two 1's, four 2's and four 3's, in accordance with the values of P, and a possible output might look like:

T = gendist(P,1,10)
T = 2 2 2 3 3 3 1 3 1 3

If, for example, P is a probability distribution for position, with positions X = [5 10 15] (does not have to be linearly spaced), then the set of generated positions is X(T).

EXAMPLE 1:

P = rand(1,50);
T = gendist(P,100,1000,'plot');

EXAMPLE 2:

X = -3:0.1:3;
P = 1+sin(X);
T = gendist(P,100,1000,'plot');
Xrand = X(T);

### 인용 양식

Tristan Ursell (2024). Random Numbers from a Discrete Distribution (https://www.mathworks.com/matlabcentral/fileexchange/34101-random-numbers-from-a-discrete-distribution), MATLAB Central File Exchange. 검색됨 .

개발 환경: R2009b
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버전 게시됨 릴리스 정보
1.7.0.0

plot fixed

1.6.0.0

replaced older for loop implementation with histc implementation

1.2.0.0

minor code reorganization, a little faster, a little cleaner.

1.0.0.0