Analysis of the past lifetime in a replacement model through stochastic comparisons and differential entropy

A Di Crescenzo, P Di Gironimo, S Kayal - Mathematics, 2020 - mdpi.com
A suitable replacement model for random lifetimes is extended to the context of past
lifetimes. At a fixed time u an item is planned to be replaced by another one having the same …

Approximating the first passage time density from data using generalized Laguerre polynomials

E Di Nardo, G D'Onofrio, T Martini - Communications in Nonlinear Science …, 2023 - Elsevier
This paper analyzes a method to approximate the first passage time probability density
function which turns to be particularly useful if only sample data are available. The method …

[PDF][PDF] A two-state neuronal model with alternating exponential excitation

N Ratanov - Mathematical Biosciences and Engineering, 2019 - researchgate.net
We develop a stochastic neural model based on point excitatory inputs. The nerve cell
depolarisation is determined by a two-state point process corresponding the two states of …

[图书][B] Perturbed Semi-Markov Type Processes II: Ergodic Theorems for Multi-Alternating Regenerative Processes

D Silvestrov - 2022 - books.google.com
This book is the second volume of a two-volume monograph devoted to the study of limit and
ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov …

Statistical and Probabilistic Approaches to Hydrological Data Analysis: Rainfall Patterns, Copula-like Models and First Passage Time Approximations

T Martini - 2024 - iris.unito.it
Abstract Analysis of rainfall data and subsequent modelling of the many variables
concerning rainfall is fundamental to many areas such as agricultural, ecological and …

A symmetry-based approach for first-passage-times of Gauss-Markov processes through Daniels-type boundaries

E Pirozzi - Symmetry, 2020 - mdpi.com
Symmetry properties of the Brownian motion and of some diffusion processes are useful to
specify the probability density functions and the first passage time density through specific …

Perturbed Semi-Markov Type Processes II

D Silvestrov - Springer
This book is the second volume of two-volume monograph devoted to the study of limit and
ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov …