Selected Publications

1996-2005

• Estimating dark matter distributions, by Xiao Wang, Michael Woodroofe, et. al.. The Astrophysical Journal Letters, 626 (2005), 143-158.
• Corrected confidence for corrected nonlinear regression models, by Steve Coad and Michael Woodroofe. J. Statist. Plan. Inf., 130 (2005), 63-83.
• Admissible minimax prediction of the signal with know background, by Tonglin Zhang and Michael Woodroofe. Statistica Sinica, 15 (2005), 59-72.
• Martingale approximations for sums of stationary processes by Wei Biao Wu and Michael Woodroofe. Ann. Prob., 32 (2004), 1674-1690.
• Shrinkage estimation for convex polyhedra, by Anna Amirdjanova and Michael Woodroofe. Statistics and Probability Letters, 70 (2004), 87-94.
• Non-linear renewal theory with stationary perturbations, by Dong Yun and Michael Woodroofe. Sequential Analysis, 22 (2003). 55-74.
• Credible and confidence sets for restricted parameter spaces, by Tonglin Zhang and Michael Woodroofe. J. Statist. Plan. Inf., 113 (2003), 479-490.
• Discussion of "Setting confidence intervals for bounded parameter" by Mark Mandelkern, by Tonglin Zhang and Michael Woodroofe. Statistical Science, 17 (2002), 168-171.
• Credible and confidence sets for the ratio of variance components in the balanced one-way model, by Tonglin Zhang and Michael Woodroofe. Sankhya 64 (2002), 545-560. (Special Issue for D. Basu)
• Corrected confidence intervals for sequentially designed experiments: examplesby Michael Woodroofe and Steve Coad. Sequential Analysis, 21 (2002), 191-218.
• Sequential confidence intervals for a population size with fixed proportional accuracy,by Ki Heon Choi, Ruby Weng, and Michael Woodroofe. Sequential Analysis, 20 (2001), 25-43.
• Isotonic regression: another look at the change point problem, by Wei Biao Wu, Michael Woodroofe, and Graciella Mentz. Biometrika, 88 (2001), 793-804.
• Asymptotic analysis of isotonic esimation for grouped data, by Rong Zhang, Jean Kim, and Michael Woodroofe. J.S.P.I., 98 (2001), 107-117.
• On the problem of low counts in a signal plus noise model by Michael Woodroofe and Hsiuying Wang. Annals of Statistics 28 (2000), 1561-1569.
• On the degrees of freedom in shape restricted regression, by Mary Meyer and Michael Woodroofe. Annals of Statistics 28 (2000), 1083-1104.
• A central limit theorem for additive functions of a Markov chain, by Michael Maxwell and Michael Woodroofe. Ann. Prob., 28 (2000), 713-724.
• A central limit theorem for iterated random functions, by Wei Biao Wu and Michael Woodroofe. J. Appl. Prob., 37 (2000), 748-755.
• Setting confidence belts, by Byron Roe and Michael Woodroofe. Physical Review D, 63 (2000).
• Improved probability method for estimating signal in the presence of background,, by Byron Roe and Michael Woodroofe. Physical Review D, 60 (1999)
• Testing uniformity vs a non-increasing density, by Michael Woodroofe and Jiayang Sun. Ann. Statist. 27 (1999), 388-360.
• Isotonic estimation for grouped data, by Rong Zhang and Michael Woodroofe. Statistics and Probability Letters, 45 (1999), 41-47.
• Approximate bias calculations for sequentially desiged experiments,by Steve Coad and Michael Woodroofe. Sequential Analysis, 17 (1998), 1-32.
• Corrected confidence sets for sequentially designed experiments, by Michael Woodroofe and D.S. Coad. Statistica Sinica, 7 (1997), 53-74.
• Approximate confidence intervals after a sequential clinical trial for comparing two exponential survival curves, by D.S. Coad and Michael Woodroofe. J.S.P.I., 63 (1997), 79-96.
• Semiparametric estimates under biased sampling, by Jiayang Sun and Michael Woodroofe. Statistica Sinica, 7 (1997), 545-574.
• Local limit theorems for hidden Markov chains, by Michael Maxwell and Michael Woodroofe. Statistics and Probability Letters, vol. 32 (1997), 125-131.
• Corrected confidence intervals censored survival databy Steve Coad and Michael Woodroofe. Biometrika, vol. 83 (1996), 763-777.
• Non-parametric estimates and consistence for renewal processes by Guosing Soon and Michael Woodroofe. J.S.P.I., vol. 53 (1996), 171-195.

1981-1995

• Central limit theorem for doubly adaptive biased coins, by Jeffrey Eisele and Michael Woodroofe. Ann. Statist. 23 (1995), 234-254.
• Isotonic smoothing spline under sequential design, by Chim Tantayawasdikull and Michael Woodroofe. J. Statist. Plan. Inf. 38 (1994), 75-88.
• Expansions for the moments of randomly stopped averages, by Girsh Aras and Michael Woodroofe. Ann. Statist. 21 (1993), 503-519.
• A penalized maximum likelihood estimator of f(0+) when f is non-increasing, by Michael Woodroofe and Jiayang Sun. Statistica Sinica, 3 (1993), 505-515.
• Estimation following sequential testing: a simple approach for a truncated S.P.R.T.Biometrika, 79 (1992), 347-353.
• Integrable expansion for posterior distributions for one-parameter exponential families, by Michael Woodroofe. Statistica Sinica, 2 (1992), 91-111.
• A central limit theorem for functions of a Markov chain with applications to shifts. Stochastic Processes and their Application, 41 (1992), 33-44.
• Minimax estimation in non-parametric regression, by Nancy Heckman and Michael Woodroofe. Annals of Statistics, 19 (1991), 2003-2014.
• On the non-linear renewal theorem, by Michael Woodroofe. Annals of Probability, 18 (1990), 1970-1805.
• A local limit theorem for sums of dependent random variables, by Mei Wang and Michael Woodroofe. Statistics and Probability Letters, vol. ?? (1990), 207-213.
• On stopping times and stochastic monotonicty. Sequential Analysis, vol. 9, 335-342.
• Sequential allocation for an estimation problem with ethical costs, by Michael Woodroofe and Janis Hardwick. Annals of Statistics, 18 (1990), 1358-1377.
• Very weak expansion for sequentially designed experiment: linear models. Ann. Statist., 17 (1989), 1087-1102.
• Asymptotic expansion for first passage times. Stochastic Processes and their Application, 28 (1988), 301-315.
• Singh's theorem in the discrete case, by Michael Woodroofe and Myoungshic Jhun. Statistics and Probability Letters, 7 (1988), (1990), 201-204.
• Asymptotic expansions in boundary crossing problems, by Michael Woodroofe and Robert Keener, Annals of Probability, 15 (1987), 1970-1805.
• Confidence intervals with fixed proportional accuracy. Journal of Statistical Planning and Inference, 131 (1987), 131-146.
• Very weak expansion for sequential confidence levels. Annals of Statistics, 14 (1986), 1049-1067.
• Asymptotic optimality in sequential interval estimation. Advances in Applied Mathematics, 7 (1986. 70-79.
• Asymptotic local minimaxity in sequential estimation. Annals of Statistics, 13 (1985), 676-688.
• Estimating a distribution function with truncated data. Annals of Statistics, 13 (1985), 163-177.
• On model selection and the arc sine law. Annals of Statistics, 10 (1982), 1182-1094.
• On the expansion for the expected sample size in non-linear renewal theory, by Charles Hagwood and Michael Woodroofe. Annals of Probability, 10 (1982), 844-848.
• Convergence to a stable distribution via order statistics, by Raoul LePage, Michael Woodroofe, and Joel Zinn. Annals of Probability, 9 (1981), 624-632.
• A.P.O. Rules are asymptotically non deficient for estimation with squared error loss. Zeitschrift fur Wahrscheinlichkeitstheorie und Ver. Gebeite, 58 (1981), 331-341.

• A one-armed bandit problem with a concomitant variable. J. Amer. Statist. Assn., 74 (1979), 799-806.
• Large deviations of likelihood ratio statistics with applications to sequential testing. Annals of Statistics, 6 (1978), 72-84.
• Second order approximation for sequential point and interval estimation. Annals of Statistics, 5 (1977), 984-995.
• A renewal theorem for curved boundaries and moments of first passage times. Annals of Probability, 4 (1976), 67-80.
• Frequentist properties of Bayesian sequential tests. Biometrika, 63 (1976), 101-110.
• Stronger forms of Zipf's Law, by Bruce Hill and Michael Woodroofe. Jour. Amer. Statist. Assn. 70 (1975), 212-219.
• On Zipf's Law, by Michael Woodroofe and Bruce Hill. Jour. Appl. Prob., 12, (1975), 425-434.
• Maximum likelihood estimation of a translation parameter of a truncated distribution II. Annals of Statistics, 3 (1974, 474-489.
• Normal approximation and large deviations for the Robbins-Munro Process. Zeitschrift fur Warhscheinlichkeitstheorie und ver. Gebeite, 21 (1973), 329-338.
• A Cramer Von-Mises type statistics for testing symmetry, by Ed Rothman and Michael Woodroofe. Annals of Mathematical Statistics, 43 (1972), 2035-2038.
• Further remarks on sequential estimation: the exponential case, by Norman Starr and Michael Woodroofe. Annals of Mathematical Statistics, 43 (1972), 1147-1154.
• Maximum likelihood estimation of a translation parameter of a truncated distribution. Annals of Mathematical Statistics, 43 (1972), 113-122.
• On the first time |S_n| > cn^{1/2}. Annals of Mathematical Statistics, 41 (1970), 2179-2183.
• On choosing a delta sequence. Annals of Mathematical Statistics, 41 (1970), 1665-1671.
• Consistent estimates of the parameters of a linear system, by William Anderson, George Kleindorfer, George Kleindorfer, and Michael Woodroofe. Annals of Mathematical Statistics, 40 (1969), 2064-2075.
• Remarks on sequential point estimation, by Norman Starr and Michael Woodroofe. Proceeding of the National Academy of Science, 63 (1969) 285-288.
• Remarks on a stopping time, by Norman Starr and Michael Woodroofe. Proceeding of the National Academy of Science, 61 (1968) 1215-1218.
• On the weak convergence of stochastic processes without discontinuities of the second kind. Zeitschrift fur Warhscheinlichkeitstheorie und ver. Gebeite, 11 (1968), 18-25.
• On the maximum deviation of the sample density. Annals of Mathematical Statistics, 38 (1967), 475-481.
• Statistical properties of the number of positive sums. Annals of Mathematical Statistics, 37 (1966), 1295-1304.