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a question on chi-square distribution

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pmonon

pmonon

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chi squared distribution question

Let's say I have a set of random variable x(i), a set of deterministic quantities y(i )and another random variable z(i) with the relation:

z(i)=Σ y(i)*x(i)

I have that x(i)'s are chi-square distributed. So what can be the distribution of z(i)?
 

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