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Question: Solving double integral with nested random variables

Question:Solving double integral with nested random variables

Dmitry 20 Maple
statistics integration
February 26 2024
0

I have the following double integral:

In the above integral, r and sigma are the random variables: r is distributed normally with a mean and standard deviation equal to sigma, which is a random variable by itself (k near sigma in integral is a known parameter). Sigma is distributed lognormally, with a known mean and standard deviation. The probability density function of the sigma is defined by fs(sigma) in the above integral. How is it possible to solve this integral in Maple?

Thanks in advance 
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