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1645统计中等derivationmedium

MLE of a Laplace Location Parameter

题目

Suppose short-horizon pricing errors are modeled as i.i.d. Laplace(μ,b)(\mu,b) with known scale b=2b=2, so the density is proportional to exμ/2e^{-|x-\mu|/2}. The observed sample is 1,  0,  2,  2,  3,  5,  7.-1,\;0,\;2,\;2,\;3,\;5,\;7. Find the MLE of μ\mu.

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