A third-order iterative algorithm for inversion of cumulative central beta distribution
DOI10.1007/s11075-023-01537-6zbMath1525.65044OpenAlexW4376142862MaRDI QIDQ6076943
Sanjeev Singh, K. Dhivya Prabhu, V. Antony Vijesh
Publication date: 17 October 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-023-01537-6
Schwarzian derivativeNewton methodquantile function\(F\) distributionStudent's \(t\) distributioncumulative central beta distribution
Probability distributions: general theory (60E05) Numerical computation of solutions to single equations (65H05) Numerical approximation and evaluation of special functions (33F05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient algorithms for the inversion of the cumulative central beta distribution
- Transformation methods for finding multiple roots of nonlinear equations
- Iterative methods based on the signum function approach for solving nonlinear equations
- Asymptotic inversion of the incomplete beta function
- Some variant of Newton's method with third-order convergence.
- A variant of Newton's method based on Simpson's three-eighths rule for nonlinear equations
- On the global convergence of Schröder's iteration formula for real zeros of entire functions
- A general approach to the study of the convergence of Picard iteration with an application to Halley's method for multiple zeros of analytic functions
- An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros
- A non-iterative method for solving non-linear equations
- Sigmoid-like functions and root finding methods
- The Schwarzian-Newton method for solving nonlinear equations, with applications
- Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
- Algorithm 724; Program to calculate F -Percentiles
- Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
- Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
- On generalized Halley-like methods for solving nonlinear equations
- A new asymptotic representation and inversion method for the Student's t distribution
- A variant of Newton's method with accelerated third-order convergence
This page was built for publication: A third-order iterative algorithm for inversion of cumulative central beta distribution
