Dear List members,

I wonder if anyone could help me with the following question. Is it
possible to calculate confidence intervals for missing data itself? So not
for the underlying parameters, but for a single missing value?
I have a dataset with stock prices of some 20 equities over a period of 65
days. For one equity the prices are missing in a consecutive period of 11
days. I would like to 'reconstruct' the missing prices using Multiple
imputation (or the EM algorithm). I'm using the fact that the daily returns
(log of relative price changes) are distributed in a multivariate normal
way. Using the EM algorithm I can create a sequence of 11 returns, which
can be considered as the 'most likely' values, or point estimates, but I do
not get a confidence interval for these values.
Is it justifyable to use Multiple Imputation, regarding each missing value
as a parameter and simply calculate the point estimate and variance using
the well-known combining rules? Or is this approach too simple?


Chiel Bakkeren


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