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package org.apache.commons.math3.stat.interval;

import org.apache.commons.math3.exception.NumberIsTooLargeException;
import org.apache.commons.math3.exception.OutOfRangeException;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NotStrictlyPositiveException;

Interface to generate confidence intervals for a binomial proportion.
See Also:
Binomial
 *      proportion confidence interval (Wikipedia)
Since:
3.3/**
 * Interface to generate confidence intervals for a binomial proportion.
 *
 * @see <a
 *      href="http://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval">Binomial
 *      proportion confidence interval (Wikipedia)</a>
 * @since 3.3
 */
public interface BinomialConfidenceInterval {

    
Create a confidence interval for the true probability of success
of an unknown binomial distribution with the given observed number
of trials, successes and confidence level.

Preconditions:

numberOfTrials must be positive
numberOfSuccesses may not exceed numberOfTrials
confidenceLevel must be strictly between 0 and 1 (exclusive)


Params:
numberOfTrials – number of trials
numberOfSuccesses – number of successes
confidenceLevel – desired probability that the true probability of
       success falls within the returned interval
Throws:
NotStrictlyPositiveException – if numberOfTrials <= 0.
NotPositiveException – if numberOfSuccesses < 0.
NumberIsTooLargeException – if numberOfSuccesses > numberOfTrials.
OutOfRangeException – if confidenceLevel is not in the interval (0, 1).
Returns:
Confidence interval containing the probability of success with probability confidenceLevel/**
     * Create a confidence interval for the true probability of success
     * of an unknown binomial distribution with the given observed number
     * of trials, successes and confidence level.
     * <p>
     * Preconditions:
     * <ul>
     * <li>{@code numberOfTrials} must be positive</li>
     * <li>{@code numberOfSuccesses} may not exceed {@code numberOfTrials}</li>
     * <li>{@code confidenceLevel} must be strictly between 0 and 1 (exclusive)</li>
     * </ul>
     * </p>
     *
     * @param numberOfTrials number of trials
     * @param numberOfSuccesses number of successes
     * @param confidenceLevel desired probability that the true probability of
     *        success falls within the returned interval
     * @return Confidence interval containing the probability of success with
     *         probability {@code confidenceLevel}
     * @throws NotStrictlyPositiveException if {@code numberOfTrials <= 0}.
     * @throws NotPositiveException if {@code numberOfSuccesses < 0}.
     * @throws NumberIsTooLargeException if {@code numberOfSuccesses > numberOfTrials}.
     * @throws OutOfRangeException if {@code confidenceLevel} is not in the interval {@code (0, 1)}.
     */
    ConfidenceInterval createInterval(int numberOfTrials, int numberOfSuccesses, double confidenceLevel)
            throws NotStrictlyPositiveException, NotPositiveException,
                   NumberIsTooLargeException, OutOfRangeException;

}