QED Mathematics and Statistics http://qedstats.wordpress.com Detailed and well explained mathematics and statistics proofs Tue, 22 Jul 2008 17:40:54 +0000 http://wordpress.com/ en hourly 1 http://www.gravatar.com/blavatar/0d9d65b3576f43af322a3c40d3a507a6?s=96&d=http://s.wordpress.com/i/buttonw-com.png QED Mathematics and Statistics http://qedstats.wordpress.com Theorem 4: Properties of linear transformations http://qedstats.wordpress.com/2008/07/21/theorem-4-properties-of-linear-transformations/ http://qedstats.wordpress.com/2008/07/21/theorem-4-properties-of-linear-transformations/#comments Mon, 21 Jul 2008 10:58:44 +0000 leinad78 http://qedstats.wordpress.com/?p=23 ]]>

Click here to see proof:theorem-4

Constructive comments welcomed.

]]> http://qedstats.wordpress.com/2008/07/21/theorem-4-properties-of-linear-transformations/feed/ 0 leinad78 Theorem 3: Results involving two convergent sequences http://qedstats.wordpress.com/2008/07/08/theorem-3-results-involving-two-convergent-sequences/ http://qedstats.wordpress.com/2008/07/08/theorem-3-results-involving-two-convergent-sequences/#comments Tue, 08 Jul 2008 21:16:38 +0000 leinad78 http://qedstats.wordpress.com/?p=20 ]]>

Click here to see proof:theorem-3

Constructive comments welcomed.

]]> http://qedstats.wordpress.com/2008/07/08/theorem-3-results-involving-two-convergent-sequences/feed/ 0 leinad78 Proof request: Maximum likelihood estimates are chi-square distributed http://qedstats.wordpress.com/2008/07/03/maximum-likelihood-estimates-are-chi-square-distributed/ http://qedstats.wordpress.com/2008/07/03/maximum-likelihood-estimates-are-chi-square-distributed/#comments Thu, 03 Jul 2008 07:31:12 +0000 leinad78 http://qedstats.wordpress.com/?p=18 ]]>

Hi there.

When I use proc logistic in SAS, the coefficients are evaluated using a chi-square distribution. Now I know that given certain conditions maximum likelihood estimates are asymptotically normally distributed. I am assuming that there is  proof somewhere that mle’s are also chi-square distributed?

]]> http://qedstats.wordpress.com/2008/07/03/maximum-likelihood-estimates-are-chi-square-distributed/feed/ 0 leinad78 Theorem 2: Every convergent sequence is bounded http://qedstats.wordpress.com/2008/07/01/theorem-2/ http://qedstats.wordpress.com/2008/07/01/theorem-2/#comments Tue, 01 Jul 2008 08:13:44 +0000 leinad78 http://qedstats.wordpress.com/?p=3 ]]>

Every convergent sequence is bounded.

Click here to see proof: theorem2

Constructive comments welcomed.

]]> http://qedstats.wordpress.com/2008/07/01/theorem-2/feed/ 0 leinad78