Value-at-Risk Theory and Practice

The first advanced book on value-at-risk

Chapter 4, Page 170
Exercise 4

Suppose a distribution has known mean (perhaps obtained by some symmetry argument) but unknown variance 2. Calculate the bias of the following estimator for 2:

[4.26]

Solution

[s1]

[s2]
[s3]
[s4]
[s5]
[s6]
[s7]
[s8]

The estimator is unbiased.

 

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