Week of October 19 - 23

Tuesday, October 20

10:30 ALGEBRA SEMINAR  - Room 459 MSC
      Warren McGovern, Mathematics and Statistics, BGSU 
      "Lattice-ordered groups: hyper-archimedean l-groups"

 3:30 FACULTY MEETING  - Room 459 MSC
      Discussion of program review

Wednesday, October 21
 
 2:30 STATISTICS SEMINAR  - Room 459 MSC
      Edsel Pena, Mathematics and Statistics, BGSU 
      "Estimation from recurrent data accrued via an informative
       sum-quota stopping rule"
      
Thursday, October 22

 3:30 GROUPS AND GEOMETRIES SEMINAR  - Room 459 MSC
      Curt Bennett and Sergey Shpectorov, Mathematics and Statistics, BGSU 
      "The Witt design and the sporadic Mathieu groups"

 6:00 ACTUARIAL SCIENCE SOCIETY  - Room 459 MSC
      PJ Gabel and Peter Gasiewski, Price Waterhouse Coopers
      
      The BGSU Actuarial Science Society presents BGSU graduates PJ
      Gabel and Peter Gasiewski of Price Waterhouse Coopers.  They
      will discuss their brand of actuarial science, as well as the
      inner workings of their Chicago firm.  All are invited and
      questions are welcome.  For more information, contact Jeff
      Faber (jfaber@bgnet).

Friday, October 23

 3:30 Coffee
 3:45 COLLOQUIUM  - Room 459 MSC
      Chi Song Wong, University of Windsor
      "Redistribution of wealth with applications to optimal designs"
      Abstract: Majorization deals with re-distribution of wealth of n
        people: the wealth of person i is changed from xi to yi.  The
        distribution (yi) is majorized by the distribution (xi) if for
        any k, the total wealth of the k most poor people in (yi) is
        no less than the total wealth of the k most poor people in
        (xi).  This notion was introduced near the beginning of this
        century.  Characterizations of majorization are available in
        terms of geometry, probability, convex functions and linear
        algebra; the proofs for equivalences involve several
        fundamental results in functional analysis.

        This is a survey talk; it gives no proofs.  The introduction
        will end with the joint work of the speaker and several
        co-authors.

        Majorization should be defined in terms of stochastic
        processes while 'poverty' demands a simple and practical
        definition. The speaker wishes to relate these two notions.

        Majorization gives rise to a giant factory for producing
        inequalities and thus has a wide range of applications.  The
        speaker was attracted by this notion as a result of searching
        for optimal designs and multivariate admissible rules in
        statistics; he will demonstrate how inequalities are produced
        through majorization.