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Statistical sampling library for use in virtdata libraries, based on apache commons math 4

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/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
package org.apache.commons.math4.stat.interval;

import org.apache.commons.math4.exception.NotPositiveException;
import org.apache.commons.math4.exception.NotStrictlyPositiveException;
import org.apache.commons.math4.exception.NumberIsTooLargeException;
import org.apache.commons.math4.exception.OutOfRangeException;

/**
 * Interface to generate confidence intervals for a binomial proportion.
 *
 * @see Binomial
 *      proportion confidence interval (Wikipedia)
 * @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: *

    *
  • {@code numberOfTrials} must be positive
  • *
  • {@code numberOfSuccesses} may not exceed {@code numberOfTrials}
  • *
  • {@code confidenceLevel} must be strictly between 0 and 1 (exclusive)
  • *
* * @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; }




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