IntegerSequenceAgnosticMetrics.java

package org.drip.sequence.metrics;

/*
 * -*- mode: java; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
 */

/*!
 * Copyright (C) 2019 Lakshmi Krishnamurthy
 * Copyright (C) 2018 Lakshmi Krishnamurthy
 * Copyright (C) 2017 Lakshmi Krishnamurthy
 * Copyright (C) 2016 Lakshmi Krishnamurthy
 * Copyright (C) 2015 Lakshmi Krishnamurthy
 * 
 *  This file is part of DROP, an open-source library targeting risk, transaction costs, exposure, margin
 *      calculations, and portfolio construction within and across fixed income, credit, commodity, equity,
 *      FX, and structured products.
 *  
 *      https://lakshmidrip.github.io/DROP/
 *  
 *  DROP is composed of three main modules:
 *  
 *  - DROP Analytics Core - https://lakshmidrip.github.io/DROP-Analytics-Core/
 *  - DROP Portfolio Core - https://lakshmidrip.github.io/DROP-Portfolio-Core/
 *  - DROP Numerical Core - https://lakshmidrip.github.io/DROP-Numerical-Core/
 * 
 *  DROP Analytics Core implements libraries for the following:
 *  - Fixed Income Analytics
 *  - Asset Backed Analytics
 *  - XVA Analytics
 *  - Exposure and Margin Analytics
 * 
 *  DROP Portfolio Core implements libraries for the following:
 *  - Asset Allocation Analytics
 *  - Transaction Cost Analytics
 * 
 *  DROP Numerical Core implements libraries for the following:
 *  - Statistical Learning Library
 *  - Numerical Optimizer Library
 *  - Machine Learning Library
 *  - Spline Builder Library
 * 
 *  Documentation for DROP is Spread Over:
 * 
 *  - Main                     => https://lakshmidrip.github.io/DROP/
 *  - Wiki                     => https://github.com/lakshmiDRIP/DROP/wiki
 *  - GitHub                   => https://github.com/lakshmiDRIP/DROP
 *  - Javadoc                  => https://lakshmidrip.github.io/DROP/Javadoc/index.html
 *  - Technical Specifications => https://github.com/lakshmiDRIP/DROP/tree/master/Docs/Internal
 *  - Release Versions         => https://lakshmidrip.github.io/DROP/version.html
 *  - Community Credits        => https://lakshmidrip.github.io/DROP/credits.html
 *  - Issues Catalog           => https://github.com/lakshmiDRIP/DROP/issues
 *  - JUnit                    => https://lakshmidrip.github.io/DROP/junit/index.html
 *  - Jacoco                   => https://lakshmidrip.github.io/DROP/jacoco/index.html
 * 
 *  Licensed 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.
 */

/**
 * <i>IntegerSequenceAgnosticMetrics</i> contains the Sample Distribution Metrics and Agnostic Bounds related
 * to the specified Integer Sequence.
 * 
 * <br><br>
 *  <ul>
 *      <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/NumericalCore.md">Numerical Core Module</a></li>
 *      <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/StatisticalLearningLibrary.md">Statistical Learning Library</a></li>
 *      <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/sequence">Sequence</a></li>
 *      <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/sequence/metrics">Metrics</a></li>
 *  </ul>
 * <br><br>
 *
 * @author Lakshmi Krishnamurthy
 */

public class IntegerSequenceAgnosticMetrics extends
    org.drip.sequence.metrics.SingleSequenceAgnosticMetrics {

    /**
     * Build out the Sequence and their Metrics
     * 
     * @param adblSequence Array of Sequence Entries
     * @param distPopulation The True Underlying Generator Distribution of the Population
     * 
     * @throws java.lang.Exception Thrown if the Inputs are Invalid
     */

    public IntegerSequenceAgnosticMetrics (
        final double[] adblSequence,
        final org.drip.measure.continuous.R1Univariate distPopulation)
        throws java.lang.Exception
    {
        super (adblSequence, distPopulation);

        if (!isPositive())
            throw new java.lang.Exception
                ("IntegerSequenceAgnosticMetrics ctr => Series should be non-Negative!");
    }

    /**
     * Retrieve the Upper Bound on Probability of X gt 0
     * 
     * @return The Upper Bound on Probability of X gt 0
     * 
     * @throws java.lang.Exception Thrown if the Inputs are Invalid
     */

    public double probGreaterThanZeroUpperBound()
        throws java.lang.Exception
    {
        double dblPopulationMean = populationMean();

        double dblProb = org.drip.numerical.common.NumberUtil.IsValid (dblPopulationMean) ? dblPopulationMean :
            empiricalExpectation();

        return dblProb > 1. ? 1 : dblProb;
    }

    /**
     * Retrieve the Upper Bound on Probability of X = 0
     * 
     * @return The Upper Bound on Probability of X = 0
     * 
     * @throws java.lang.Exception Thrown if the Inputs are Invalid
     */

    public double probEqualToZeroUpperBound()
        throws java.lang.Exception
    {
        double dblPopulationMean = populationMean();

        double dblMean = org.drip.numerical.common.NumberUtil.IsValid (dblPopulationMean) ? dblPopulationMean :
            empiricalExpectation();

        double dblPopulationVariance = populationVariance();

        double dblVariance = org.drip.numerical.common.NumberUtil.IsValid (dblPopulationVariance) ?
            dblPopulationVariance : empiricalVariance();

        return dblVariance / (dblMean * dblMean + dblVariance);
    }
}