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numerical integration of array

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Muna Tageldin
Muna Tageldin 2023-4-14
移动：Torsten 2023-4-14
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"

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Torsten
Torsten 2023-4-14
移动：Torsten 2023-4-14
Ran in:
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

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