generating random numbers from poisson distribution

how i can generate random numbers Poisson distribution pdf :

P(x) = e^(-λt).(λt)^x / x!

[Takim Mustakim]

without "poissrnd"

[John D'Errico]

Homework?

Answer 1

[John D'Errico]

Since the request has now morphed to do so without using poissrnd, that makes it very likely homework.

In that case, you might want to do some reading. For example, here:

https://www.johndcook.com/blog/2010/06/14/generating-poisson-random-values/

If not, then you need to explain why you cannot use the idea shown there, or why you cannot use poissrnd.

help poissrnd

 POISSRND Random arrays from the Poisson distribution.
    R = POISSRND(LAMBDA) returns an array of random numbers chosen from the
    Poisson distribution with parameter LAMBDA.  The size of R is the size
    of LAMBDA.
 
    R = POISSRND(LAMBDA,M,N,...) or R = POISSRND(LAMBDA,[M,N,...]) returns
    an M-by-N-by-... array.
 
    See also POISSCDF, POISSINV, POISSPDF, POISSTAT, RANDOM.

    Documentation for poissrnd
       doc poissrnd

Answer 2

[Paul]

Check out

doc poissrnd

assuming that lamda*t in the question is the same as lamda in that function.