Approximating the first passage time density from data using generalized Laguerre polynomials
DOI10.1016/j.cnsns.2022.106991zbMath1505.60002arXiv2206.02137OpenAlexW4308929867MaRDI QIDQ2684064
Giuseppe D'Onofrio, Tommaso Martini, Elvira di Nardo
Publication date: 16 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02137
Markov processes: estimation; hidden Markov models (62M05) Computational methods for problems pertaining to probability theory (60-08) Diffusion processes (60J60) General theory of stochastic processes (60G07) Approximations to statistical distributions (nonasymptotic) (62E17)
Uses Software
Cites Work
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- Closed-form solutions for the first-passage-time problem and neuronal modeling
- First-passage time statistics of Markov gamma processes
- Asymptotic results for first-passage times of some exponential processes
- Characterization of the cubic exponential families by orthogonality of polynomials.
- Orthogonal polynomial expansions to evaluate stop-loss premiums
- Large deviations of conditioned diffusions and applications
- Symbolic calculus in mathematical statistics: a review
- A cumulant approach for the first-passage-time problem of the Feller square-root process
- A Guide to First-Passage Processes
- A computational approach to first-passage-time problems for Gauss–Markov processes
- On the convergence of generalized polynomial chaos expansions
- Estimating Component Reliability Based on Failure Time Data from a System of Unknown Design
- Eigenvalue expansions for diffusion hitting times
- Statistical Properties of Inverse Gaussian Distributions. I
- On an integral equation for first-passage-time probability densities
- Exponential trends of first-passage-time densities for a class of diffusion processes with steady-state distribution
- A new integral equation for the evaluation of first-passage-time probability densities
- On the evaluation of first-passage-time probability densities via non-singular integral equations
- On some exponential functionals of Brownian motion
- Convergence theorems for a class of simulated annealing algorithms on ℝd
- First-passage-time densities for time-non-homogeneous diffusion processes
- On the development of functions in series of orthogonal polynomials
- A note on the Volterra integral equation for the first-passage-time probability density
- Component reliability estimation based on system failure-time data
- Long- and short-time asymptotics of the first-passage time of the Ornstein–Uhlenbeck and other mean-reverting processes
- Exact simulation of first exit times for one-dimensional diffusion processes
- Optimal Design for Estimation in Diffusion Processes from First Hitting Times
- Hitting distributions of geometric Brownian motion
- Numerical Methods for Approximating Continuous Probability Density Functions, over [0, ∞), Using Moments
- Representations of the First Hitting Time Density of an Ornstein-Uhlenbeck Process1
- On the asymptotic behaviour of first-passage-time densities for one-dimensional diffusion processes and varying boundaries
- Heuristic Approach to the Kolmogorov-Smirnov Theorems
- On the First Passage Time Probability Problem
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