The paper proposes Bayesian framework in an M/G/1 queuing system with optional second
service. The semi-parametric model based on a finite mixture of Gamma distributions is …

Problem statement: The double Pareto distribution appeared most often as model for variety
of fields, including archaeology, biology, economics, environmental science, finance and …

Maximum likelihood and uniform minimum variance unbiased estimators of steady-state
probability distribution of system size, probability of at least ℓ customers in the system in …

Bayesian inference for double Pareto lognormal queues Page 1 The Annals of Applied
Statistics 2010, Vol. 4, No. 3, 1533–1557 DOI: 10.1214/10-AOAS336 © Institute of Mathematical …

Motivated by a real failure dataset in a two-dimensional context, this paper presents an
extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one …

This is an annotated bibliography on estimation and inference results for queues and related
stochastic models. The purpose of this document is to collect and categorise works in the …

In the imbedded Markov chain (IMC) analysis of M/G/1 queuing system, X 1, X 2,…, Xn,…
form a sequence of iid random variables. where Xn denotes the number of customer arrivals …

This paper investigates an infinite waiting space single-server queueing system in which
customers arrive according to a batch Markovian arrival process. The server serves the …

Abstract The Batch Markov Modulated Poisson Process (BMMPP) is a subclass of the
versatile Batch Markovian Arrival Process (BMAP) which has been proposed for the …

In this article we describe a method for carrying out Bayesian estimation for the two-state
stationary Markov arrival process (MAP 2), which has been proposed as a versatile model in …