Value at risk estimation via statistics

debosch123

New Member
Hi guys,

For my (master) project I am trying to find the probability that a random variable, which is normally distributed, exceeds a quantile that is estimated by a limited number of observations. See attached for my attempt.
- Is it correct?
- How to incorporate the fact that the mean and variance of the normal distribution are unknown in reality?

Thanks in advance!!
 

Attachments

  • Derivation_quantile.pdf
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