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4 questions
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Conditional Density Function on Underlying Exponential
Problem Statement: Suppose $Y_1, Y_2,\dots, Y_n$ are a random sample from an exponential distribution with mean $\theta.$ Let $\displaystyle U=\sum_{i=1}^n Y_i.$ Find the conditional density function ...
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joint and conditional density function
Let $f(x,y,z)$ be the joint density function. I found a reference that this joint density can be written as
$f(x,y,z) = f_1(x|y,z)f_2(y|z)f_3(z)$
I'm wondering if there are alternative forms to ...
1
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Changing a conditional probability to a deterministic function
Suppose that we have a conditional density function $p(y|x;\theta^*)$, where $\theta^*$ represents distribution parameters and are assumed to be deterministic. Is it possible that we write this ...
3
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pdf from a set of conditional pdfs
I have an interesting problem, i have seen in many text books ways of calculating conditional pdfs but not many where given a set of conditional pdfs for a variable we wish to calculate it's pdf. In ...