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1 |
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Point estimation by the method of maximum likelihood. Unbiased estimation. Method-of-moments estimates as first approximations to maximum-likelihood estimates. Bayesian estimation. Robust methods of estimation. |
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2 |
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Sufficiency and completeness. Mean squared error and admissibility. Rao-Blackwell and Lehmann Scheffe theorems. |
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3 |
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Confidence intervals. Bayesian credible intervals. |
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4 |
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Hypothesis testing. |
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5 |
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Categorical data analysis. Chi-square goodness-of-fit tests. |
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6 |
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Regression and analysis of variance. |
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7 |
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Non-parametric methods. |
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