Main Article Content

Abstract

A maximum likelihood estimator (MLE), a consistent asymptotically normal (CAN) estimator and asymptotic confidence limits for the expected number of customers in the system for a sequential two station, single server system with Poisson input and exponential service, where no queue is allowed in front of station 1 and atmost one customer is allowed to wait between the stations and with blocking are obtained.

Keywords

CAN estimator - expected number of customers in the system - maximum likelihood estimator - multivariate central limit theorem - Slutsky theorem - tandem queue.

Article Details

Author Biographies

Vaidya Nathan, Department of Statistics Pondicherry University

Assistant Professor, Department of Statistics

 

Chandra Sekhar, Loyola College, Chennai

UGC Emeritus Professor, Department of Statistics
How to Cite
Nathan, V., & Sekhar, C. (2012). Statistical Inference for a two station tandem queue with atmost one customer to wait between the stations. Pakistan Journal of Statistics and Operation Research, 8(2), 185-194. https://doi.org/10.18187/pjsor.v8i2.338