TA8 - ECO2121: Methods of Economic Statistics TA 8 – 11...

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Unformatted text preview: ECO2121: Methods of Economic Statistics TA 8 – 11 March 2009 1. Parametric Distributions (revisited) Throughout the semester, we deal with parametric distributions, for instance, for Normal distribution N ( μ , σ 2 ), μ and σ 2 are the parameters; while for Bernoulli distribution Bernoulli( p ), p is the parameter. Previously, we know parameters are to characterize the distributions, how? And why are there parameters? 2. Some Important Facts (a black-box approach – see TA8a) For a random sample of size n of X ~ N ( μ , σ 2 ) (a) ¡ ~ ¢ ( £ , ¤ ¥ ¦ ⁄ ) (no need large n ) and ( § − 1) ¨ © ª « ⁄ = ∑ ( ¬ ­ − ® ¯ ) ° ± ²³´ µ ¶ ⁄ ~ · ¸ ( ¹ − 1) (b) º » and S 2 (thus ( ¼ − 1) ½ ¾ ¿ À ⁄ = ∑ ( Á Â − Ã Ä ) Å Æ ÇÈÉ Ê Ë ⁄ ) are independent . (c) Hence, ( Ì Í − Î ) ÏÐ Ñ Ò ⁄ ⁄ ~ Ó ( Ô − 1) What are χ 2 and t distributions?...
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TA8 - ECO2121: Methods of Economic Statistics TA 8 – 11...

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