02 Basics Flashcards
Review of Prob & Statistics with Basic Terminology
Statistic Function
function of data and the data alone, essentially with no considerations of any other parameters
Estimator
statistic which takes a guess at the parameter theta (θ)
Sampling Distribution
an estimator is a random variable and it inherits its distribution from that of the data Xi
Consistency vs. Inconsistency
if it converges (in probability) to its true target written theta hat of n to theta it is consistent, on the contrary, if not consistent it is inconsistent
Bias vs. Unbiased
estimator of E(theta heat of n) - theta. if an estimator’s bias value of zero for all theta then it is considered unbiased
The Standard Error
an estimator of its standard deviation or the square root of the variance
Expectation with Continuous Random Variable X