Clear Filters
Clear Filters

numerical integration of array

7 views (last 30 days)
Muna Tageldin
Muna Tageldin on 14 Apr 2023
Moved: Torsten on 14 Apr 2023
I'm trying to integrate the following series to compute the expected value
$F_Z(z)=\sum_{i=0}^n \frac{n!}{i!(n-i)! (\lambda-n*\mu)} (-\epsilon)^{i} (1-e^{-\mu z})^{n-i}*(e^{-\lambda z}-e^{-\mu*z})$
using expected value denfition
Throught my research and looking up the integral defition, I can use integral function in MATLAB. I tried finding the integration for a simple model by the following steps
1) define array function for
nCk = @(n,kVec,z)arrayfun(@(k)nchoosek(n,k)*exp(-lam*k*z),kVec);
integral(@(z) nCk(10,1:5),0,1,'ArrayValued',true)
However, I got the error "Not enough input arguments"

Accepted Answer

Torsten
Torsten on 14 Apr 2023
Moved: Torsten on 14 Apr 2023
lam = 0.5;
nCk = @(n,kVec,z)arrayfun(@(k)nchoosek(n,k)*exp(-lam*k*z),kVec);
integral(@(z) nCk(10,1:5,z),0,1,'ArrayValued',true)
ans = 1×5
7.8694 28.4454 62.1496 90.7898 92.5258

More Answers (0)

Categories

Find more on Numerical Integration and Differential Equations in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!