C.F. Frensley Professor of Mathematical SciencesDepartment of Statistical Science
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Education |
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B.S. (1972, cum laude) College of Engineering, University of
Michigan, Ann Arbor. Major: Applied Mathematics, Minor: Engineering
Physics. Sigma, Dean's List 5 times Ph.D. (1977) Rackham Graduate School, University of Michigan, Ann Arbor. Major: Statistics. Academic Honors: Rackham Scholar.
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Software
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Selected Publications
Butler, R.W. (2006). Saddlepoint Approximations with Applications (680 pp.). Cambridge University Press. To appear shortly.
Butler, R.W., Machado, U.B. and Rychlik, I. (2006) Distribution of wave
crests in non-Gaussian sea. Applied Ocean Research. To appear.
Kraut, S., Scharf, L.L. & Butler, R.W. (2005). The adaptive coherence estimator:
a uniformly-most-powerful-invariant adaptive detection statistic.
IEEE Transactions on Signal Processing, 53, 427-438.
Butler, R.W. and Wood, A.T.A. (2005). Laplace approximations to hypergeometric
functions of two matrix arguments. Journal of Multivariate Analysis,
94, 1-18.
Butler, R.W. and Wood, A.T.A. (2005). Approximation of power in multivariate
analysis. Statistics and Computing, 15, 281-287.
Butler, R.W. and Wood, A.T.A. (2004). Saddlepoint approximation for moment
generating functions of truncated random variables. Annals of
Statistics, 32, 2712-2730.
Butler, R.W. and Wood, A.T.A. (2004). A dimensional CLT for non-central Wilks'
lambda in multivariate analysis. Scandinavian Journal of
Statistics, 31, 585-601.
Butler, R.W. (2004). Does the ``Sensitive Direction'' point to the likelihood
ancillary? Comments on ``Ancillaries and Conditional Inference'' by
D.A.S. Fraser, Statistical Science, 19, 351-355.
9/6/07