9 papers
Nonparametric testing via partial sorting
Krzysztof Bisewski, H. M. Jansen, Yoni Nazarathy
In this paper we introduce the idea of partially sorting data to design nonparametric tests. This approach gives rise to tests that are sensitive to both the order and the underlyi…
On Busy Periods of the Critical GI/G/1 Queue and BRAVO
Yoni Nazarathy, Zbigniew Palmowski
We study critical GI/G/1 queues under finite second moment assumptions. We show that the busy period distribution is regularly varying with index half. We also review previously kn…
Markovian Transition Counting Processes: An Alternative to Markov Modulated Poisson Processes
Azam Asanjarani, Sophie Hautphenne, Yoni Nazarathy
Stochastic models for performance analysis, optimization and control of queues hinge on a multitude of alternatives for input point processes. In case of bursty traffic, one very p…
The Value of Information and Efficient Switching in Channel Selection
Jiesen Wang, Yoni Nazarathy, Thomas Taimre
We consider a collection of statistically identical two-state continuous time Markov chains (channels). A controller continuously selects a channel with the view of maximizing infi…
A Survey of Parameter and State Estimation in Queues
Azam Asanjarani, Yoni Nazarathy, Peter Taylor
We present a broad literature survey of parameter and state estimation for queueing systems. Our approach is based on various inference activities, queueing models, observations sc…
Estimation of Semi-Markov Multi-state Models: A Comparison of the Sojourn Times and Transition Intensities Approaches
Azam Asanjarani, Benoit Liquet, Yoni Nazarathy
Semi-Markov models are widely used for survival analysis and reliability analysis. In general, there are two competing parameterizations and each entails its own interpretation and…