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96年 - 96 淡江大學 轉學考 機率與統計學#56036
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題組內容
6. (15 points) Consider a uniform distribution U(θ, 20 ).
(a) Find the maximum likelihood estimator of θ .
其他申論題
(a) Find the value of c
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(b) Find the marginal p. d f. of X.
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【已刪除】(c) Find
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5. (15 points) Let the random vector (X， Y) has a bivariate normal distribution. Show that the best linear predictor of Y with respect to X is given by E[Y|X]. [Note]: For any real-valued functions, g and h，we say that the predictor g(X) is a better estimator of Y than h(X) does，if the m. s. e. of g(X) is less than that of h(X), that is E[Y-g(X)]2 ≤E[Y -h(X)]2.
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(b) Does that MLE of θ converges to θ in probability (it is a consistent estimator)? Prove it, if it does.
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【已刪除】7.
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(1) Inventory turnover.
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(2) Profit margin.
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(3) Return on total assets.
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