Point Estimation

Normal Estimation Experiment  ****
The experiment is to generate a random sample X1, X2, ..., Xn of size n from the normal distribution with mean µ and standard deviation d.The statistic M is a point estimator of the distribution mean µ and the statistics S2, T2, and W2 are point estimators of the distribution variance d2.

Uniform Estimation Experiment  ****
The experiment is to generate a random sample X1, X2, ..., Xn of size n from the uniform distribution on (0, a).Three estimators are calculated to estimate the parameter a.

Gamma Estimation Experiment  ***
The experiment is to generate a random sample X1, X2, ..., Xn of size n from the gamma distribution with shape parameter k and scale parameter b.Statistic U is a point estimator of k and statistics V and W are point estimators of b.***

Beta Estimation Experiment  ***
The experiment is to generate a random sample X1, X2, ..., Xn of size n from the beta distribution with parameters a and b = 1.Statistics U and V are point estimators of a.
See also Beta Coin Experiment.