This article considers the subexponential asymptotics of the stationary distributions of GI/G/1-
type Markov chains in two cases:(i) the phase transition matrix in non-boundary levels is …

This paper studies the subexponential asymptotics of the stationary distribution of an M/G/1-
type Markov chain. We provide a sufficient condition for the subexponentiality of the …

The main contribution of this paper is to present a new sufficient condition for the
subexponential asymptotics of the stationary distribution of a GI/G/1-type Markov chain with …

This paper considers the level-increment (LI) truncation approximation of M/G/1-type Markov
chains. The LI truncation approximation is often used in implementing Ramaswami's …

This paper considers the level-increment (LI) truncation approximation of M/G/1-type Markov
chains. The LI truncation approximation is usually used to implement Ramaswami's …

This paper considers an approximation usually used when implementing Ramaswami's
recursion for the stationary distribution of the M/G/1-type Markov chain. The approximation is …

The purpose of this study is to present a subgeometric convergence formula for the
stationary distribution of the finite-level M/G/1-type Markov chain when taking its infinite-level …

This paper studies the subexponential asymptotics of the stationary distribution vector of an
asymptotically block-Toeplitz and upper block-Hessenberg (atUBH) Markov chain in discrete …

This paper studies the light-tailed asymptotics of the stationary distribution of the GI/G/1-type
Markov chain. We consider three cases:(i) the tail decay rate is determined by a certain …

This paper presents a new matrix-infinite-product-form (MIP-form) solution for the stationary
distribution in upper block-Hessenberg Markov chains (UBH-MCs). The existing MIP-form …