Mathematics · Mathematical Statistics
Let X 1 , ..., X 10 be a random sample from a distribution with the probability density function: f(x|θ) = θx θ-1 for 0 0 is an unknown parameter). The prior distribution of θ is given by: π(θ) = θe -θ for θ > 0, and 0 otherwise. The Bayes estimator of θ under squared error loss is:
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- 12 + Σ i=1 10 ln X i 11
- 23 + Σ i=1 10 ln X i 13
- 311 2 - Σ i=1 10 ln X i
- 412 1 - Σ i=1 10 ln X i✓
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12 1 - Σ i=1 10 ln X i
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