Article2016

ML and UMVU estimation in the M/D/1 queuing system

17 citations0/0 files storedCommunication in Statistics- Theory and Methods

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Queuing Theory Analysis Probability and Statistical Research Statistical Distribution Estimation and Applications

Abstract

In the imbedded Markov chain (IMC) analysis of M/G/1 queuing system, X1, X2, …, Xn, … form a sequence of i.i.d random variables. where Xn denotes the number of customer arrivals during the service time of customer. In the M/D/1 queue, the distribution of common random variable X is the Poisson distribution with mean ρ, the traffic intensity. This fact is utilized for maximum likelihood (ML) and uniformly minimum variance unbiased (UMVU) estimation of traffic intensity, performance measures, transition probabilities of IMC, and correlation functions of departure process, based on a sample of fixed size n from P(ρ) distribution. Also, consistent asymptotic normality (CAN) property of ML estimators (MLEs) is established. The MLEs and UMVUEs are compared.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 17 citations exist upstream.

References

2018Fundamentals of Queueing Theory 1998Frontiers in Queueing: Models and Applications in Science and Engineering 1957Maximum Likelihood Estimates in a Simple Queue 1987Statistical analysis of queueing systems 1975The covariance structure of queues and related processes – a survey of recent work 2007Bayesian inference and prediction in the single server Markovian queue 2013Estimation of Traffic Intensity Based on Queue Length in a Single M/M/1 Queue 1998Bayesian analysis of M/Er/1 and M/H_k/1 queues

Cited by

2023Classical and Bayesian estimations of performance measures in a single server Markovian queueing system based on arrivals during service times 2018Parametric estimation of an M|Er|1 queue

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.