Statistics Graduate Level Quiz
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STATISTICAL INFERENCE
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A proposed family on 0<x<10<x<1 has density proportional to xθx^\theta, where θ>−1\theta>-1. For three independent observations, the data satisfy ∑i=13log⁡xi=−4\sum_{i=1}^3\log x_i=-4.
After correctly normalizing the density, which score and maximum likelihood estimate result?
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