Question

Match the term with the appropriate definition.

a. A function of observable random variables (a statistic) used to estimate a parameter - pick one among (Estimator, Error of Estimator, Unbiased Estimator, Sampling Distribution)

b. An estimator whose expected value is equivalent to the population parameter of interest - pick one among (Estimator, Error of Estimator, Unbiased Estimator, Sampling Distribution)

c. The absolute value of the difference between the estimator and the parameter. -pick one among (Estimator, Error of Estimator, Unbiased Estimator, Sampling Distribution)

d. The probability distribution of a statistic - pick one among (Estimator, Error of Estimator, Unbiased Estimator, Sampling Distribution)

Answer 1

a) Estimator

example of estimator is =

, the sample mean is used to estimate , the population mean

is called statistic , is the parameter

b) Unbiased Estimator

example: is the unbiased estimator of   since

c) Error of estimate

example :error of estimate =

d) sampling distribution

example ; distribution of is known as sampling distribution of sample mean