These statistical programs are JavaScript implementations of
statistical procedures that were justified in joint work with Mark
Finkelstein and Howard G. Tucker. The objective of the research was to
produce confidence intervals with a guaranteed coverage probability.
This means that the confidence level of the interval found is provably
at least as large as the specified level. This property does not hold
for many traditional intervals whose justification rests on asymptotic
theory. Details regarding the theory behind these procedures can be
found in published journal articles which are referenced in the
page for each app. **Use these programs at your
own risk.** The source code for each app is also available
from the apps page.

Maximum likelihood estimator of, and conservative confidence intervals for, the number of colors in the equiprobable coupon collector's problem.

Maximum likelihood estimator of, and conservative confidence intervals for, the binomial success probability.

Maximum likelihood estimator of, and conservative confidence intervals for, the binomial number of trials.

Maximum likelihood estimator of, and conservative confidence intervals for, the number of successes in a population (when sampling without replacement).

Maximum likelihood estimator of, and conservative confidence intervals for, the population size (when sampling without replacement).