Multivariate Distributions
Example:
Note:
Often written
Note:
Multivariate Distributions
Definition:
Definition: Marginal density function of X
Definition: X and Y are independent if and only if
Or
Note:
Estimators and Estimates
Definition: An estimator is a function or procedure for
deriving an estimate from
observed data. An estimator is a random variable whereas
an estimate is a real
number.
Example:
Now:
Other Estimators
Commonly Employed Estimators:
Probability Theory
Example: Two coins tossed possibly multiple times and
outcome is ordered pair
Let:
Then:
Definition: Events A and B are independent if