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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.hipparchus.stat.descriptive;

import java.util.Arrays;

import org.hipparchus.util.MathUtils;

/**
 * Reporting interface for basic univariate statistics.
 */
public interface StatisticalSummary {

    /**
     * Computes aggregated statistical summaries.
     * 

* This method can be used to combine statistics computed over partitions or * subsamples - i.e., the returned StatisticalSummary should contain * the same values that would have been obtained by computing a single * StatisticalSummary over the combined dataset. * * @param statistics StatisticalSummary instances to aggregate * @return summary statistics for the combined dataset * @throws org.hipparchus.exception.NullArgumentException if the input is null */ static StatisticalSummary aggregate(StatisticalSummary... statistics) { MathUtils.checkNotNull(statistics); return aggregate(Arrays.asList(statistics)); } /** * Computes aggregated statistical summaries. *

* This method can be used to combine statistics computed over partitions or * subsamples - i.e., the returned StatisticalSummary should contain * the same values that would have been obtained by computing a single * StatisticalSummary over the combined dataset. * * @param statistics iterable of StatisticalSummary instances to aggregate * @return summary statistics for the combined dataset * @throws org.hipparchus.exception.NullArgumentException if the input is null */ static StatisticalSummary aggregate(Iterable statistics) { MathUtils.checkNotNull(statistics); long n = 0; double min = Double.NaN; double max = Double.NaN; double sum = Double.NaN; double mean = Double.NaN; double m2 = Double.NaN; for (StatisticalSummary current : statistics) { if (current.getN() == 0) { continue; } if (n == 0) { n = current.getN(); min = current.getMin(); sum = current.getSum(); max = current.getMax(); m2 = current.getVariance() * (n - 1); mean = current.getMean(); } else { if (current.getMin() < min) { min = current.getMin(); } if (current.getMax() > max) { max = current.getMax(); } sum += current.getSum(); final double oldN = n; final double curN = current.getN(); n += curN; final double meanDiff = current.getMean() - mean; mean = sum / n; final double curM2 = current.getVariance() * (curN - 1d); m2 = m2 + curM2 + meanDiff * meanDiff * oldN * curN / n; } } final double variance = n == 0 ? Double.NaN : n == 1 ? 0d : m2 / (n - 1); return new StatisticalSummaryValues(mean, variance, n, max, min, sum); } /** * Returns the * arithmetic mean of the available values * @return The mean or Double.NaN if no values have been added. */ double getMean(); /** * Returns the variance of the available values. * @return The variance, Double.NaN if no values have been added * or 0.0 for a single value set. */ double getVariance(); /** * Returns the standard deviation of the available values. * @return The standard deviation, Double.NaN if no values have been added * or 0.0 for a single value set. */ double getStandardDeviation(); /** * Returns the maximum of the available values * @return The max or Double.NaN if no values have been added. */ double getMax(); /** * Returns the minimum of the available values * @return The min or Double.NaN if no values have been added. */ double getMin(); /** * Returns the number of available values * @return The number of available values */ long getN(); /** * Returns the sum of the values that have been added to Univariate. * @return The sum or Double.NaN if no values have been added */ double getSum(); }





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