D. Dawson, I. Dinwoodie, C. Dunkl, W. Ehm, S. Evans, J. Faraut, U. Franz,
D. Geiger, S. Hedayat, I. Helland, T. Kollo, S. Lalley, H. Massam, B. McNeney,
R. Mukerjee, H. Neudecker, M. Perlman, F.'Ruymgaart, and P. Sarnak. We also ac-
knowledge the support of the Series managing editor,
Dennis DeTurck. Our sincere
appreciation goes to the authors, for their timely cooperation
during the editorial
We feel that the twenty-three contributions that
follow give an excellent over-
view of current opportunities and directions in algebraic
methods in statistics and
Group representation in probability and statistics,
IMS, Hayward, Califor-
M. L. Eaton,
Group invariance applications in statistics,
R. H. Farrell (ed.),
Springer-Verlag, New York, NY, 1985.
Probabilities on algebraic structures,
Wiley, New York,
E. J. Hannan,
Group representations and applied probability,
Journal of Applied Prob-
ability 2 (1965), 1-68.
A. T. James,
The relationship algebra of an experimental design,
ical Statistics 28 (1957), 993-1002.
S. L. Lauritzen,
Press, New York, NY, 1996.
V. Lakshminarayanan, R. Srudhar,
and R. Jagannathan,
Lie algebraic treatment of
dioptric power and optical
J. Optical Society of America, A 15 (1998),
The Haar integral,
Van Nostrand, Princeton, N.J., 1965.
M. D. Perlman,
Group symmetry covariance models,
Statistical Science 2 (1987), 421-
Pistone, E. Riccomagno, and P. Wyinn,
Algebraic statistics: Computational com-
mutative algebra in statistics,
Chapman & Hall/CRC, Boca Raton, FL, 2000.
R. A. Wijsman,
Invariant measures on groups and their use in statistics,
Marlos A. G. Viana
Donald St. P. Richards
July 26, 2001