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Session Slot: 10:30-12:20 Thursday

Estimated Audience Size: 125-175

AudioVisual Request: Two Overheads


Session Title: Probability and Statistics in Telecommunications

Theme Session: No

Applied Session: No


Session Organizer: Koshevnik, Yuly MCI


Address: 2400 North Glenville Road, Richardson, TX 75082

Phone: (972) 918-6823

Fax: (972) 918-6257

Email: Yuly.Koshevnik@mci.com


Session Timing: 110 minutes total (Sorry about format):

Opening Remarks by Chair - 5 minutes First Speaker - 20 minutes Second Speaker - 20 minutes Third Speaker - 20 minutes Fourth Speaker - 20 minutes Discussant - 15 minutes (or none) Floor Discusion - 5 minutes


Session Chair: Koshevnik, Yuly MCI


Address: 2400 North Glenville Road, Richardson, TX 75082

Phone: (972) 918-6823

Fax: (972) 918-6257

Email: Yuly.Koshevnik@mci.com


1. Moving Images: Semi- and Nonparametric Approach

Korostelev, Alexander,   Wayne State University


Address: Department of Mathematics, F.A.B. 1247, Wayne State University, Detroit, MI 48202

Phone: (313) 577-3188

Fax: (313) 577-7596

Email: apk@math.wayne.edu

Abstract: On the basis of some examples, we discuss the peculiarities of the asymptotical large-sample analysis in nonparametric models of the moving images. As the asymptotical rates of convergence show, these problems cannot be treated as ``snap-shot'' images in the ``time-space'' domains.

In the semiparametric image models, we want to estimate a finite dimensional parameter from noisy data in presence of an infinite dimensional ``nuisance parameter'' which describes the image shape. For example, if the evolution of the image is governed by some dynamical system, how accurately can the parameters of this system be restored? Unlike the classical semiparametric regression and density problems in which the root-n rates are typical under regularity conditions, in the image analysis the accuracy in estimating the finite dimensional parameter relates to the smooth functionals estimation. The smooth functionals of image such as the area, the center of gravity, etc., are known to have the intermediate rates of convergence comparing to those in parametric and nonparametric estimation. That's why we find the semiparametric image problems different from their parametric and nonparametric counterparts.


2. Optimization of Polling Systems with Fast Service

Kreinin, Alexander,   Algorithmics, Inc.


Address: Algorithmics Inc. 822 Richmond Street West, Toronto, ON, Canada, M6J 1C9

Phone: (416) 703-0898

Fax: (416) 703-0767

Email: alex@algorithmics.com

Abstract: Polling systems with non-zero switchover time, intensive arrival flows, fast service and random discipline of service are studied in the talk. Under some assumptions, the process of queue lengths convergence to the trajectories of a dynamical system in the N-dimensional Euclidean space. We study the asymptotic behavior of the process, describe the properties of the limit dynamical system and obtain formulae for mean queue lengths expressed through the first moments of the input flow distributions, the distributions of service times and switchover times. We also derive the optimal random routing policy to minimize the average number of customers in the polling system.


3. Monitoring of High Intensity Data Streams

Yashchin, Emmanuel,   IBM Research Center


Address: Thomas J. Watson IBM Research Center, P.O. Box 218, Yorktown Heights, NY 10598

Phone: (914) 945-1828

Fax: (914) 945-3434

Email: yashchi@watson.ibm.com

Abstract: This talk will discuss several problems related to analysis of data streams subject to abrupt changes in time (shifts, onset of drifts, etc.). Such data is frequently observed in a wide range of areas, such as quality control, communications and finance. It is typically described in terms of regimes and parameters that can be estimated, controlled or monitored. The talk will focus on the problems of detection of unfavorable changes, estimation of the current level of parameters (filtering) and retrospective data analysis. It will present methodology based on the change-point theory for addressing these problems and give several examples of its application.


4. Interpretation Aids for Data-Rich Environments

Hardy, William C.,   MCI Telecommunications Corp.


Address: 2400 North Glenville Road, Richardson, TX 75082

Phone: (972) 918-5925

Fax: (972) 918-6257

Email: Chris.Hardy@mci.com

Abstract: A data-rich environment is understood here to be one in which there is so much readily available data that it is possible to create samples with virtually no sampling variance. Such an environment is typified by the long-distance telecommunications industry, in which sample sizes of hundreds of thousands of links, millions of calls, billions of equipment operating hours, trillions of bits transmitted, etc. are the norm rather than the exception. This paper describes the shift in concerns from statistical to operational significance that occurs in such an environment, and illustrates analytical techniques that have been found to be useful in addressing those operational concerns with examples drawn from the author's experience as a telecommunications operations analyst.


Discussant: Koshevnik, Yuly   MCI


Address: 2400 North Glenville Road, Richardson, TX 75082

Phone: (972) 918-6823

Fax: (972) 918-6257

Email: Yuly.Koshevnik@mci.com

List of speakers who are nonmembers: None


next up previous index
Next: ims.13 Up: Institute of Mathematical Statistics Previous: ims.11
David Scott
6/1/1998