Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes (with discussion)

A Beskos, O Papaspiliopoulos… - Journal of the Royal …, 2006 - academic.oup.com
The objective of the paper is to present a novel methodology for likelihood-based inference
for discretely observed diffusions. We propose Monte Carlo methods, which build on recent …

A survey of parameter and state estimation in queues

A Asanjarani, Y Nazarathy, P Taylor - Queueing Systems, 2021 - Springer
We present a broad literature survey of parameter and state estimation for queueing
systems. Our approach is based on various inference activities, queueing models …

[图书][B] Ambit stochastics

OE Barndorff-Nielsen, FE Benth, AED Veraart - 2018 - Springer
Ambit Stochastics has emerged as a new field in probability theory during the last decade.
While there are still many open questions and challenges, we think that the time is right to …

Integer‐valued trawl processes: A class of stationary infinitely divisible processes

OE Barndorff‐Nielsen, A Lunde… - … Journal of Statistics, 2014 - Wiley Online Library
This paper introduces a new continuous‐time framework for modelling serially correlated
count and integer‐valued data. The key component in our new model is the class of integer …

Estimation for queues from queue length data

JV Ross, T Taimre, PK Pollett - Queueing Systems, 2007 - Springer
We consider the estimation of arrival and service rates for queues based on queue length
data collected at successive, not necessarily equally spaced, time points. In particular, we …

Estimation of traffic intensity from queue length data in a deterministic single server queueing system

SK Singh, SK Acharya, FRB Cruz… - Journal of Computational …, 2021 - Elsevier
A certain type of queueing system that is quite common in manufacturing systems occurs
when the time between the arrivals of items approximately follows an exponential …

Nonparametric inference about service time distribution from indirect measurements

P Hall, J Park - Journal of the Royal Statistical Society Series B …, 2004 - academic.oup.com
In studies of properties of queues, for example in relation to Internet traffic, a subject that is of
particular interest is the 'shape'of service time distribution. For example, we might wish to …

Nonparametric estimation of the service time distribution in the M/G/∞ queue

A Goldenshluger - Advances in Applied Probability, 2016 - cambridge.org
The subject of this paper is the problem of estimating the service time distribution of the
M/G/∞ queue from incomplete data on the queue. The goal is to estimate G from …

Nonparametric estimation of service time characteristics in infinite-server queues with nonstationary Poisson input

A Goldenshluger, DT Koops - Stochastic Systems, 2019 - pubsonline.informs.org
This paper provides a mathematical framework for estimation of the service time distribution
and expected service time of an infinite-server queueing system with a nonhomogeneous …

[HTML][HTML] Nonparametric estimation of the service time distribution in the discrete-time GI/G/∞ queue with partial information

S Schweer, C Wichelhaus - Stochastic Processes and their Applications, 2015 - Elsevier
Estimation of the service time distribution in the discrete-time GI/G/∞-queue based solely on
information on the arrival and departure processes is considered. The focus is put on the …