Theorem 4: Properties of linear transformations

Click here to see proof:theorem-4

Constructive comments welcomed.

Theorem 3: Results involving two convergent sequences

Click here to see proof:theorem-3

Constructive comments welcomed.

Proof request: Maximum likelihood estimates are chi-square distributed

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 isĀ  proof somewhere that mle’s are also chi-square distributed?

Theorem 2: Every convergent sequence is bounded

Every convergent sequence is bounded.

Click here to see proof: theorem2

Constructive comments welcomed.