Package org.drip.specialfunction.property

Class IncompleteBetaEqualityLemma

java.lang.Object
org.drip.specialfunction.property.IncompleteBetaEqualityLemma
public class IncompleteBetaEqualityLemma
extends java.lang.Object
IncompleteBetaEqualityLemma implements the Equality Lemmas for the Incomplete Beta Estimation. The References are:

  • Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
  • Davis, P. J. (1959): Leonhard Euler's Integral: A Historical Profile of the Gamma Function American Mathematical Monthly 66 (10) 849-869
  • Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
  • Wikipedia (2019): Beta Function https://en.wikipedia.org/wiki/Beta_function
  • Wikipedia (2019): Gamma Function https://en.wikipedia.org/wiki/Gamma_function
It provides the following functionality:
  • Construct the Identity #1 Verifier
  • Construct the Identity #2 Verifier
  • Construct the Identity #3 Verifier
  • Construct the Identity #4 Verifier
  • Construct the Identity #5 Verifier
  • Construct the Identity #6 Verifier
  • Construct the Identity #7 Verifier
  • Construct the Identity #8 Verifier
  • Construct the Cumulative Binomial Distribution Verifier

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Special Function Property Lemma Verifiers
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • IncompleteBetaEqualityLemma

      public IncompleteBetaEqualityLemma()

  • Method Details

    • Identity1

      public static final R2ToR1Property Identity1()
      Construct the Identity #1 Verifier
      Returns:
      The Identity #1 Verifier

    • Identity2

      public static final R2ToR1Property Identity2()
      Construct the Identity #2 Verifier
      Returns:
      The Identity #2 Verifier

    • Identity3

      public static final R2ToR1Property Identity3()
      Construct the Identity #3 Verifier
      Returns:
      The Identity #3 Verifier

    • Identity4

      public static final R2ToR1Property Identity4()
      Construct the Identity #4 Verifier
      Returns:
      The Identity #4 Verifier

    • Identity5

      public static final R3ToR1Property Identity5()
      Construct the Identity #5 Verifier
      Returns:
      The Identity #5 Verifier

    • Identity6

      public static final R3ToR1Property Identity6()
      Construct the Identity #6 Verifier
      Returns:
      The Identity #6 Verifier

    • Identity7

      public static final R3ToR1Property Identity7()
      Construct the Identity #7 Verifier
      Returns:
      The Identity #7 Verifier

    • Identity8

      public static final R3ToR1Property Identity8()
      Construct the Identity #8 Verifier
      Returns:
      The Identity #8 Verifier

    • CumulativeBinomialDistribution

      public static final R3ToR1Property CumulativeBinomialDistribution()
      Construct the Cumulative Binomial Distribution Verifier
      Returns:
      The Cumulative Binomial Distribution Verifier