Package org.drip.specialfunction.definition

Class ModifiedBesselFirstKindEstimator

java.lang.Object
org.drip.specialfunction.definition.ModifiedBesselFirstKindEstimator
All Implemented Interfaces:
R2ToR1
Direct Known Subclasses:
ModifiedFirstFrobeniusSeriesEstimator, ModifiedFirstHankelAsymptoteEstimator, ModifiedFirstIntegralEstimator
public abstract class ModifiedBesselFirstKindEstimator
extends java.lang.Object
implements R2ToR1
ModifiedBesselFirstKindEstimator exposes the Estimator for the Modified Bessel Function of the First Kind. The References are:

  • Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
  • Arfken, G. B., and H. J. Weber (2005): Mathematical Methods for Physicists 6th Edition Harcourt San Diego
  • Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2nd Edition Wiley New York
  • Watson, G. N. (1995): A Treatise on the Theory of Bessel Functions Cambridge University Press
  • Wikipedia (2019): Bessel Function https://en.wikipedia.org/wiki/Bessel_function
It provides the following functionality:
  • Construct the Alpha Positive Asymptotic Version of ModifiedBesselFirstKindEstimator
  • Evaluate Modified Bessel Function First Kind I given Alpha and z

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Definition of Special Function Estimators
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    ModifiedBesselFirstKindEstimator()  

  • Method Summary

    Modifier and Type Method Description
    static ModifiedBesselFirstKindEstimator AlphaPositiveAsymptote​(R1ToR1 gammaEstimator)
    Construct the Alpha Positive Asymptotic Version of ModifiedBesselFirstKindEstimator
    abstract double bigI​(double alpha, double z)
    Evaluate Modified Bessel Function First Kind I given Alpha and z
    double evaluate​(double alpha, double z)
    Evaluate for the given variate Pair

    Methods inherited from class java.lang.Object

    equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • ModifiedBesselFirstKindEstimator

      public ModifiedBesselFirstKindEstimator()

  • Method Details

    • AlphaPositiveAsymptote

      public static final ModifiedBesselFirstKindEstimator AlphaPositiveAsymptote​(R1ToR1 gammaEstimator)
      Construct the Alpha Positive Asymptotic Version of ModifiedBesselFirstKindEstimator
      Parameters:
      gammaEstimator - Gamma Estimator
      Returns:
      Alpha Positive Asymptotic Version of ModifiedBesselFirstKindEstimator

    • bigI

      public abstract double bigI​(double alpha, double z) throws java.lang.Exception
      Evaluate Modified Bessel Function First Kind I given Alpha and z
      Parameters:
      alpha - Alpha
      z - Z
      Returns:
      Modified Bessel Function First Kind I Value
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

    • evaluate

      public double evaluate​(double alpha, double z) throws java.lang.Exception
      Description copied from interface: R2ToR1
      Evaluate for the given variate Pair
      Specified by:
      evaluate in interface R2ToR1
      Parameters:
      alpha - X
      z - Y
      Returns:
      Returns the calculated value
      Throws:
      java.lang.Exception - Thrown if evaluation cannot be done