Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent

DOI10.1239/aap/1246886622zbMath1168.60008OpenAlexW1979273456MaRDI QIDQ5320663

Publication date: 22 July 2009

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1246886622

zbMATH Keywords

Laplace transform stopping time semi-Markov process reward function genomic continuum model

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Markov renewal processes, semi-Markov processes (60K15) Genetics and epigenetics (92D10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Transient properties of many-server queues and related QBDs
The probability that related individuals share some section of genome identical by descent
Multidimensional transform inversion with applications to the transient \(M/G/1\) queue
Mathematical and statistical methods for genetic analysis.
Distribution of genome shared IBD by half-sibs: Approximation by the Poisson clumping heuristic
The probability density of the total IBD length over a single autosome in unilineal relationships
Evaluation of identity-by-descent probabilities for half-sibs on continuous genome
A Unified Framework for Numerically Inverting Laplace Transforms
Two Types ofRG-Factorizations of Quasi-birth-and-death Processes and Their Applications to Stochastic Integral Functionals
Finite birth-and-death models in randomly changing environments
Introduction to Matrix Analytic Methods in Stochastic Modeling
The transient BMAP/G/l queue
Continuous-time Markov chains in a random environment, with applications to ion channel modelling
On some waiting time problems
A Monte Carlo approach to calculating probabilities for continuous identity by descent data
Distribution of the amount of genetic material from a chromosomal segment surviving to the following generation
Exact distributions for reward functions on semi-Markov and Markov additive processes

This page was built for publication: Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent