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Statistical Inference in Trees and Applications to Active Network Tomography
Vijay Nair
Department of Statistics
Department of Industrial & Operations Engineering
University of Michigan, Ann Arbor
This talk will deal with inference for certain class of inverse problems
on tree-structured graphs. These arise naturally in the context of
estimating quality of service parameters such as packet loss rates and
delay distributions in communications and computer networks. Internet
service providers use this information in order to estimate, provision
for, and monitor network service quality. This talk will discuss two
types of estimation problems dealing, respectively, with estimation of
loss rates and delays. The use of EM-algorithms for MLE as well as
faster algorithms based on least-squares and quasi-likelihood methods
will be described. If time permits, some results on the design of
probing experiments and applications of the results to network
monitoring will also be illustrated. This is joint work with George
Michailidis, Bowei Xi, and Earl Lawrence. |
