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	- Two IID Exponential Sum Mean (1)
	- Two IID Exponential Sum Variance (2, 3)
	- Two IID Exponential Sum Cumulative (4, 5, 6)
	- IID Joint Moment Order Statistic #1 (32, 33)
	- IID Joint Moment Max Index (34, 35)
	- IID Joint Moment Min Index (36, 37)
	- IID Joint Moment Order Statistic #2 (53)


Bug Fixes/Re-organization:

	- Service Manager Invocation Record 2023 (57)


Samples:

	- R^1 Conditional Value At Risk #1 (7, 8, 9)
	- R^1 Conditional Value At Risk #2 (10, 11, 12)
	- R^1 Conditional Value At Risk #3 (13, 14)
	- R^1 Buffered Probability of Exceedance #1 (15, 16, 17)
	- R^1 Buffered Probability of Exceedance #2 (18, 19, 20)
	- R^1 Kullback Leibler Divergence #1 (21, 22, 23)
	- R^1 Kullback Leibler Divergence #2 (24, 25, 26)
	- R^1 Kullback Leibler Divergence #3 (27, 28, 29)
	- R^1 Kullback Leibler Divergence #4 (30, 31)
	- Order Statistics Joint Moment #1 (38, 39, 40)
	- Order Statistics Joint Moment #2 (41, 42, 43)
	- Order Statistics Joint Moment #3 (44, 45, 46)
	- Order Statistics Joint Moment #4 (47, 48, 49)
	- Order Statistics Joint Moment #5 (50, 51, 52)
	- Order Statistics Joint Moment #6 (54, 55, 56)
	- R^1 Minimum Rate Distribution Shell (58, 59, 60)


IdeaDRIP:
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@Lakshmik
Lakshmik committed Aug 13, 2023
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org.drip.measure.crng
org.drip.measure.discrete
org.drip.measure.dynamics
org.drip.measure.exponential
org.drip.measure.gamma
org.drip.measure.gaussian
org.drip.measure.joint
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org.drip.sample.erf
org.drip.sample.erfx
org.drip.sample.execution
org.drip.sample.exponential
org.drip.sample.fedfund
org.drip.sample.feed
org.drip.sample.fixfloat
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<head>
<!-- Generated by javadoc (15) on Sat Apr 22 08:53:00 EDT 2023 -->
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<title>K-Index</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
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Expand Down Expand Up @@ -819,6 +819,12 @@ <h2 class="title" id="I:K">K</h2>
<dd>
<div class="block">On the first row, we write a 0.</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/continuous/R1Univariate.html#kullbackLeiblerDivergence(org.drip.measure.continuous.R1Univariate)">kullbackLeiblerDivergence(R1Univariate)</a></span> - Method in class org.drip.measure.continuous.<a href="../org/drip/measure/continuous/R1Univariate.html" title="class in org.drip.measure.continuous">R1Univariate</a></dt>
<dd>
<div class="block">Compute the Kullback-Leibler Divergence against the other R<sup>1</sup> Distribution</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#kullbackLeiblerDivergence(org.drip.measure.continuous.R1Univariate)">kullbackLeiblerDivergence(R1Univariate)</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><a href="../org/drip/sample/gammadistribution/KullbackLieblerDivergence.html" title="class in org.drip.sample.gammadistribution"><span class="type-name-link">KullbackLieblerDivergence</span></a> - Class in <a href="../org/drip/sample/gammadistribution/package-summary.html">org.drip.sample.gammadistribution</a></dt>
<dd>
<div class="block"><i>KullbackLieblerDivergence</i> demonstrates the Kullback-Liebler Divergence between a Pair of
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Expand Down Expand Up @@ -263,6 +263,10 @@ <h2 class="title" id="I:L">L</h2>
<dd>
<div class="block">Retrieve Lambda</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#lambda()">lambda()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>
<div class="block">Retrieve the Lambda</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/param/pricer/HestonOptionPricerParams.html#lambda()">lambda()</a></span> - Method in class org.drip.param.pricer.<a href="../org/drip/param/pricer/HestonOptionPricerParams.html" title="class in org.drip.param.pricer">HestonOptionPricerParams</a></dt>
<dd>
<div class="block">Retrieve Lambda</div>
Expand Down Expand Up @@ -348,6 +352,10 @@ <h2 class="title" id="I:L">L</h2>
<dd>
<div class="block">Retrieve the Child Node with the Larger Key</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/TwoIIDSum.html#largerR1RateDistribution()">largerR1RateDistribution()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/TwoIIDSum.html" title="class in org.drip.measure.exponential">TwoIIDSum</a></dt>
<dd>
<div class="block">Retrieve the Larger Exponential Distribution</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/service/common/GraphUtil.html#LargestGroup(java.util.List)">LargestGroup(List&lt;List&lt;String&gt;&gt;)</a></span> - Static method in class org.drip.service.common.<a href="../org/drip/service/common/GraphUtil.html" title="class in org.drip.service.common">GraphUtil</a></dt>
<dd>
<div class="block">Establish the Separate Components connecting the Items</div>
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<title>M-Index</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="dc.created" content="2023-04-22">
<meta name="dc.created" content="2023-08-13">
<meta name="description" content="index: M">
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Expand Down Expand Up @@ -4483,6 +4483,38 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1BPoE.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1BPoE.html" title="class in org.drip.sample.exponential">R1BPoE</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1CVaR.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1CVaR.html" title="class in org.drip.sample.exponential">R1CVaR</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1DensityAndCumulative.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1DensityAndCumulative.html" title="class in org.drip.sample.exponential">R1DensityAndCumulative</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1KLDivergence.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1KLDivergence.html" title="class in org.drip.sample.exponential">R1KLDivergence</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1MinimumRateDistribution.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1MinimumRateDistribution.html" title="class in org.drip.sample.exponential">R1MinimumRateDistribution</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1OrderStatisticsJointMoment.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1OrderStatisticsJointMoment.html" title="class in org.drip.sample.exponential">R1OrderStatisticsJointMoment</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1Quantiles.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1Quantiles.html" title="class in org.drip.sample.exponential">R1Quantiles</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/exponential/R1SignificantStatistics.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.exponential.<a href="../org/drip/sample/exponential/R1SignificantStatistics.html" title="class in org.drip.sample.exponential">R1SignificantStatistics</a></dt>
<dd>
<div class="block">Entry Point</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/fedfund/CompositeFedFundLIBORSwap.html#main(java.lang.String%5B%5D)">main(String[])</a></span> - Static method in class org.drip.sample.fedfund.<a href="../org/drip/sample/fedfund/CompositeFedFundLIBORSwap.html" title="class in org.drip.sample.fedfund">CompositeFedFundLIBORSwap</a></dt>
<dd>
<div class="block">Entry Point</div>
Expand Down Expand Up @@ -10540,6 +10572,10 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Retrieve the Length of the Maximal Path</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/CompositeR1OrderStatistics.html#MaxOrderStatistic(int,int)">MaxOrderStatistic(int, int)</a></span> - Static method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/CompositeR1OrderStatistics.html" title="class in org.drip.measure.exponential">CompositeR1OrderStatistics</a></dt>
<dd>
<div class="block">Get the Maximum of the specified Order Statistic</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/spaces/big/BigR2Array.html#maxPathResponse()">maxPathResponse()</a></span> - Method in class org.drip.spaces.big.<a href="../org/drip/spaces/big/BigR2Array.html" title="class in org.drip.spaces.big">BigR2Array</a></dt>
<dd>
<div class="block">Compute the Maximum Response Associated with all the Left/Right Adjacent Paths starting from the Top
Expand Down Expand Up @@ -10615,6 +10651,10 @@ <h2 class="title" id="I:M">M</h2>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/discrete/PoissonDistribution.html#mean()">mean()</a></span> - Method in class org.drip.measure.discrete.<a href="../org/drip/measure/discrete/PoissonDistribution.html" title="class in org.drip.measure.discrete">PoissonDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#mean()">mean()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/TwoIIDSum.html#mean()">mean()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/TwoIIDSum.html" title="class in org.drip.measure.exponential">TwoIIDSum</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html#mean()">mean()</a></span> - Method in class org.drip.measure.gamma.<a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html" title="class in org.drip.measure.gamma">R1ShapeScaleDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gaussian/R1MultivariateNormal.html#mean()">mean()</a></span> - Method in class org.drip.measure.gaussian.<a href="../org/drip/measure/gaussian/R1MultivariateNormal.html" title="class in org.drip.measure.gaussian">R1MultivariateNormal</a></dt>
Expand Down Expand Up @@ -10817,6 +10857,8 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Retrieve the Median of the Distribution</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#median()">median()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gaussian/R1UnivariateNormal.html#median()">median()</a></span> - Method in class org.drip.measure.gaussian.<a href="../org/drip/measure/gaussian/R1UnivariateNormal.html" title="class in org.drip.measure.gaussian">R1UnivariateNormal</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/service/common/ArrayUtil.html#Median(int%5B%5D)">Median(int[])</a></span> - Static method in class org.drip.service.common.<a href="../org/drip/service/common/ArrayUtil.html" title="class in org.drip.service.common">ArrayUtil</a></dt>
Expand Down Expand Up @@ -11189,6 +11231,10 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Retrieve the Minimum Window represented by t inside s</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/CompositeR1OrderStatistics.html#MinOrderStatistic(int,int)">MinOrderStatistic(int, int)</a></span> - Static method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/CompositeR1OrderStatistics.html" title="class in org.drip.measure.exponential">CompositeR1OrderStatistics</a></dt>
<dd>
<div class="block">Get the Minimum of the specified Order Statistic</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/integration/NewtonCotesQuadratureGenerator.html#MinusOne_PlusOne(double,double,int)">MinusOne_PlusOne(double, double, int)</a></span> - Static method in class org.drip.numerical.integration.<a href="../org/drip/numerical/integration/NewtonCotesQuadratureGenerator.html" title="class in org.drip.numerical.integration">NewtonCotesQuadratureGenerator</a></dt>
<dd>
<div class="block">Generate the Newton-Cotes of Equally Spaced Quadrature over (a, b) onto (-1, +1)</div>
Expand Down Expand Up @@ -11273,6 +11319,8 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Retrieve the Mode of the Distribution</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#mode()">mode()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html#mode()">mode()</a></span> - Method in class org.drip.measure.gamma.<a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html" title="class in org.drip.measure.gamma">R1ShapeScaleDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gaussian/R1UnivariateNormal.html#mode()">mode()</a></span> - Method in class org.drip.measure.gaussian.<a href="../org/drip/measure/gaussian/R1UnivariateNormal.html" title="class in org.drip.measure.gaussian">R1UnivariateNormal</a></dt>
Expand Down Expand Up @@ -11772,6 +11820,8 @@ <h2 class="title" id="I:M">M</h2>
<dd>
<div class="block">Construct the Moment Generating Function</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/exponential/R1RateDistribution.html#momentGeneratingFunction()">momentGeneratingFunction()</a></span> - Method in class org.drip.measure.exponential.<a href="../org/drip/measure/exponential/R1RateDistribution.html" title="class in org.drip.measure.exponential">R1RateDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html#momentGeneratingFunction()">momentGeneratingFunction()</a></span> - Method in class org.drip.measure.gamma.<a href="../org/drip/measure/gamma/R1ShapeScaleDistribution.html" title="class in org.drip.measure.gamma">R1ShapeScaleDistribution</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/measure/statistics/UnivariateMoments.html#momentMap()">momentMap()</a></span> - Method in class org.drip.measure.statistics.<a href="../org/drip/measure/statistics/UnivariateMoments.html" title="class in org.drip.measure.statistics">UnivariateMoments</a></dt>
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