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STAT 4190

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STAT 4190 is the second semester in a two-semester sequence on Mathematical Statistics. This second course applies the concepts learned in STAT 3150 to develop the theory of statistical inference.

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Course Syllabus

Text:  Mathematical Statistics and Data Analysis, 3rd ed.  John A. Rice  ISBN:  0-534-39942-8

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Date Assigned

Date Due

Assignment                                   

1/15/09

1/22/09

p. 198  1, 4, 5

1/20/09

1/22/09

p. 198  6, 9

1/22/09

1/29/09

p. 239  1, 3, 5, 6, 10, 12a, 35ab

1/29/09

2/5/09

p. 239  16, 17, 18, 22, 35c

2/5/09

2/12/09  The 12th is the first exam, so this homework will be collected 2/17/09.

p. 312  3ab, 4ab, 7a, 10, 16a, 18a

p. 312  4cd, 7b, 16b, 21ab, 26

2/24/09

2/26/09

Suppose X is a binomial random variable.  Assume n is known.  Find the mle for p.  Find I(p).  Find a 95% confidence interval for p assuming n is large.

 

On your exam, you found the mle for sigma if you have a normal random sample with mean zero.  Find I(sigma).  (Note:  You will need a higher order moment of the normal distribution.  Find this using derivatives of the moment generating function.)

 

p. 324  52b,c

3/3/09

3/5/09

p. 326  60a,d,e

3/5/09 3/19/09 p. 316 16d, 21d, 47, 52d, 68, 69
3/17/09 3/26/09 p. 362 1,3
  3/24/09 Test 2 is scheduled for March 24
4/2/09 4/9/09 p 362  5, 7, 9, 10, 12, 13
4/21/09 4/23/09 p 459  1, 2, 6
4/21/09 4/28/09 p 464  33, 35, 36