Constructing transient birth-death processes by means of suitable transformations

DOI10.1016/j.amc.2016.01.058zbMath1410.60087OpenAlexW2281212755WikidataQ63434406 ScholiaQ63434406MaRDI QIDQ671163

Antonio Di Crescenzo, Amelia G. Nobile, Virginia Giorno

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.01.058

zbMATH Keywords

conditional probabilitiescatastrophesfirst-passage time\(\nu\)-similarityimmigration-birth-death processlinear immigration-death process

Mathematics Subject Classification ID

Related Items (12)

Analysis of reflected diffusions via an exponential time-based transformation ⋮ Lower bounds for the rate of convergence for continuous-time inhomogeneous Markov chains with a finite state space ⋮ \(\mathrm{M}/\mathrm{M}/1\) queue in two alternating environments and its heavy traffic approximation ⋮ Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process ⋮ On a class of birth-death processes with time-varying intensity functions ⋮ A time-non-homogeneous double-ended queue with failures and repairs and its continuous approximation ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system ⋮ First-passage times and related moments for continuous-time birth-death chains ⋮ Analysis of state-dependent discrete-time queue with system disaster ⋮ On obtaining sharp bounds of the rate of convergence for a class of continuous-time Markov chains ⋮ On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes

Cites Work

• Unnamed Item
• Unnamed Item
• On some time non-homogeneous queueing systems with catastrophes
• Collective behavior and evolutionary games -- an introduction
• The single server queue with catastrophes and geometric reneging
• Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution
• Perturbation bounds and truncations for a class of Markovian queues
• On a super-diffusive, nonlinear birth and death process
• A note on birth-death processes with catastrophes
• On truncations for weakly ergodic inhomogeneous birth and death processes
• The birth and death processes as diffusion processes
• Stochastic orders
• A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
• Continuous-time Markov chains. An applications-oriented approach
• Markov chain models - rarity and exponentiality
• A continuous-time Markov chain under the influence of a regulating point process and applications in stochastic models with catastrophes
• A birth-death process suggested by a chain sequence
• Families of \(\nu\)-similar birth-death processes and limiting conditional distributions
• On the M/M/1 queue with catastrophes and its continuous approximation
• Birth-death processes and associated polynomials.
• A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation
• Alternative approaches for the transient analysis of Markov chains with catastrophes
• Spectral properties of birth-death polynomials
• Limiting characteristics for finite birth-death-catastrophe processes
• On a symmetric, nonlinear birth-death process with bimodal transition probabilities
• On exponential ergodicity and spectral structure for birth-death processes. I
• Stochastic Population Processes
• The Classification of Birth and Death Processes
• A transient solution to an M/M/1 queue: a simple approach
• Truncation approximations of invariant measures for Markov chains
• Birth-death processes with mass annihilation and state-dependent immigration
• Killing and resurrection of markov processes
• Families of birth-death processes with similar time-dependent behaviour
• Extinction times for a general birth, death and catastrophe process
• Extinction Probability in A Birth-Death Process with Killing
• A Note on Extinction Times for the General Birth, Death and Catastrophe Process

This page was built for publication: Constructing transient birth-death processes by means of suitable transformations