forked from kscience/kmath
Variance test post-merge cleanup
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4dbcaca87c
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@ -1,3 +1,3 @@
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job("Build") {
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gradlew("openjdk:11", "build")
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job("Build and run tests") {
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gradlew("amazoncorretto:17-alpine", "build")
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}
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@ -15,7 +15,7 @@ allprojects {
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}
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group = "space.kscience"
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version = "0.3.1-dev-RC"
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version = "0.3.1"
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}
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subprojects {
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@ -19,9 +19,9 @@ import org.ejml.sparse.csc.factory.DecompositionFactory_DSCC
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import org.ejml.sparse.csc.factory.DecompositionFactory_FSCC
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import org.ejml.sparse.csc.factory.LinearSolverFactory_DSCC
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import org.ejml.sparse.csc.factory.LinearSolverFactory_FSCC
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import space.kscience.kmath.UnstableKMathAPI
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import space.kscience.kmath.linear.*
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import space.kscience.kmath.linear.Matrix
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import space.kscience.kmath.UnstableKMathAPI
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import space.kscience.kmath.nd.StructureFeature
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import space.kscience.kmath.operations.DoubleField
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import space.kscience.kmath.operations.FloatField
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@ -6,6 +6,7 @@
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package space.kscience.kmath.distributions
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import space.kscience.kmath.chains.Chain
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import space.kscience.kmath.operations.DoubleField.pow
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import space.kscience.kmath.random.RandomGenerator
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import space.kscience.kmath.samplers.GaussianSampler
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import space.kscience.kmath.samplers.InternalErf
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@ -34,8 +35,23 @@ public class NormalDistribution(public val sampler: GaussianSampler) : Distribut
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}
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}
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private companion object {
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public companion object {
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private val SQRT2 = sqrt(2.0)
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/**
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* Zelen & Severo approximation for the standard normal CDF.
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* The error upper boundary by 7.5 * 10e-8.
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*/
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public fun zSNormalCDF(x: Double): Double {
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val t = 1 / (1 + 0.2316419 * abs(x))
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val sum = 0.319381530 * t -
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0.356563782 * t.pow(2) +
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1.781477937 * t.pow(3) -
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1.821255978 * t.pow(4) +
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1.330274429 * t.pow(5)
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val temp = sum * exp(-abs(x).pow(2) / 2) / (2 * PI).pow(0.5)
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return if (x >= 0) 1 - temp else temp
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}
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}
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}
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@ -1,24 +0,0 @@
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/*
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* Copyright 2018-2023 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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package space.kscience.kmath.distributions
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import space.kscience.kmath.operations.DoubleField.pow
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import kotlin.math.PI
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import kotlin.math.absoluteValue
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import kotlin.math.exp
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/**
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* Zelen & Severo approximation for the standard normal CDF.
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* The error is bounded by 7.5 * 10e-8.
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* */
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public fun zSNormalCDF(x: Double): Double {
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val t = 1 / (1 + 0.2316419 * x.absoluteValue)
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val summ = 0.319381530*t - 0.356563782*t.pow(2) + 1.781477937*t.pow(3) - 1.821255978*t.pow(4) + 1.330274429*t.pow(5)
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val temp = summ * exp(-x.absoluteValue.pow(2) / 2) / (2 * PI).pow(0.5)
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return if (x >= 0) 1 - temp else temp
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}
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@ -5,7 +5,7 @@
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package space.kscience.kmath.series
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import space.kscience.kmath.distributions.zSNormalCDF
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import space.kscience.kmath.distributions.NormalDistribution
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import space.kscience.kmath.operations.DoubleField.pow
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import space.kscience.kmath.operations.fold
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import kotlin.math.absoluteValue
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@ -14,8 +14,12 @@ import kotlin.math.absoluteValue
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/**
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* Container class for Variance Ratio Test result:
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* ratio itself, corresponding Z-score, also it's p-value
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* **/
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public data class VarianceRatioTestResult(val varianceRatio: Double=1.0, val zScore: Double=0.0, val pValue: Double=0.5)
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*/
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public data class VarianceRatioTestResult(
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val varianceRatio: Double = 1.0,
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val zScore: Double = 0.0,
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val pValue: Double = 0.5,
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)
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/**
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@ -23,11 +27,17 @@ public data class VarianceRatioTestResult(val varianceRatio: Double=1.0, val zSc
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* under Homoscedastic or Heteroscedstic assumptions
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* with two-sided p-value test
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* https://ssrn.com/abstract=346975
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* **/
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public fun SeriesAlgebra<Double, *, *, *>.varianceRatioTest(series: Series<Double>, shift: Int, homoscedastic: Boolean=true): VarianceRatioTestResult {
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*
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* @author https://github.com/mrFendel
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*/
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public fun SeriesAlgebra<Double, *, *, *>.varianceRatioTest(
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series: Series<Double>,
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shift: Int,
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homoscedastic: Boolean = true,
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): VarianceRatioTestResult {
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require(shift > 1) {"Shift must be greater than one"}
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require(shift < series.size) {"Shift must be smaller than sample size"}
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require(shift > 1) { "Shift must be greater than one" }
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require(shift < series.size) { "Shift must be smaller than sample size" }
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val sum = { x: Double, y: Double -> x + y }
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@ -46,7 +56,7 @@ public fun SeriesAlgebra<Double, *, *, *>.varianceRatioTest(series: Series<Doubl
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val varianceAgg = demeanedSquaresAgg.fold(0.0, sum)
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val varianceRatio =
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varianceAgg * (series.size.toDouble() - 1) / variance / (series.size.toDouble() - shift.toDouble() + 1) / (1 - shift.toDouble()/series.size.toDouble()) / shift.toDouble()
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varianceAgg * (series.size.toDouble() - 1) / variance / (series.size.toDouble() - shift.toDouble() + 1) / (1 - shift.toDouble() / series.size.toDouble()) / shift.toDouble()
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// calculating asymptotic variance
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@ -63,7 +73,7 @@ public fun SeriesAlgebra<Double, *, *, *>.varianceRatioTest(series: Series<Doubl
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}
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val zScore = (varianceRatio - 1) / phi.pow(0.5)
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val pValue = 2*(1 - zSNormalCDF(zScore.absoluteValue))
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val pValue = 2 * (1 - NormalDistribution.zSNormalCDF(zScore.absoluteValue))
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return VarianceRatioTestResult(varianceRatio, zScore, pValue)
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}
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