Some Confidence Regions for Traffic Intensity Vector

  • Suresh Bajirao Pathare MIT-ADT University, Pune, India
  • Vinayak K. Gedam Department of Statistics and Centre for Advanced Studies in Statistics, Savitribai Phule Pune University, Pune (India).
DOI: https://doi.org/10.19139/soic.v7i2.356
Keywords: Traffic intensity vector, Coverage percentage, Relative coverage, Relative average length, Calibration.

Abstract

Using the Consistent and Asymptotically Normal (CAN) estimator and its covariance matrix (A), 100(1−α)% confidence region for traffic intensity vector ρ with no assumption of arrival and service time distribution is constructed in this paper. Also Standard Bootstrap (SB), Bayesian Bootstrap(BB) and percentile bootstrap (PB) are applied to develop the confidence regions for traffic intensity vector ρ with confidence level 100(1 − α)%. Simulation study is undertaken to evaluate the performances of the confidence regions in terms of their coverage area percentage, average area and relative coverage area. Calibration technique is used to improve the coverage area percentages of confidence regions.

Author Biographies

Suresh Bajirao Pathare, MIT-ADT University, Pune, India
Dr. Suresh B Pathare received his M.Sc., M.Phil. and Ph.D. degree in Statistics from Department of Statistics and Centre for Advanced Studies in Statistics, S.P. Pune University (India). Also qualified State Eligibility Test (SET). Currently he is an Assistant Professor at the MIT-ADT University, Pune, India. His research interests include statistical inference (parametric and nonparametric),queueing theory and queueing network models.
Vinayak K. Gedam, Department of Statistics and Centre for Advanced Studies in Statistics, Savitribai Phule Pune University, Pune (India).
Dr. Vinayak K Gedam received his M.Sc. and Ph.D. degree in Statistics from Rastrasant Tukdoji Maharaj, Nagpur University, Nagpur. He joined Sant Gadge Baba Amaravati  University, Amaravati (India), as an Assistant Professor in Statistics. Currently he is an Associate Professor at the Department of Statistics and Centre for Advanced Studies in Statistics, Savitribai Phule Pune University, Pune (India). His research interests include statistical inference(parametric and nonparametric), queueing theory and queueing network models and stochastic transportation problems.

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Published
2019-05-19
How to Cite
Pathare, S. B., & Gedam, V. K. (2019). Some Confidence Regions for Traffic Intensity Vector. Statistics, Optimization & Information Computing, 7(2), 360-369. https://doi.org/10.19139/soic.v7i2.356
Issue
Vol 7 No 2 (2019)
Section
Research Articles
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