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Research

Publications

Book

Stein, M.L. (1999) Statistical Interpolation of Spatial Data: Some Theory for Kriging. Springer, New York.

Papers

[1] Stein, M. L. (1984). System parameters governed by jump processes: a model for removal of air polluants. Advances in Applied Probability, 16, 603-617.

[2] Stein, M. L. (1986). An efficient method of sampling for statistical circuit design. IEEE Transactions on Computer-Aided Design, CAD-5, 23-29.

[3] Stein, M. L. (1986). A modification of minimum norm quadratic estimation of a generalized covariance function for use with large data sets. Mathematical Geology, 18, 625-633.

[4] Stein, M. L. (1986). A simple model for spatial-temporal processes. Water Resources Research, 22, 2107-2110.

[5] Stein, M. L. (1987). Large sample properties of simulations using Latin hypercube sampling. Technometrics, 29, 143-151. Correction, 32, 367.

[6] Stein, M. L. (1987). Gaussian approximations to conditional distributions for multigaussian processes. Mathematical Geology, 19, 387-405.

[7] Stein, M. L. (1987). Minimum norm quadratic estimation of spatial variograms. Journal of the American Statistical Association, 82, 765-772.

[8] Stein, M. L. (1988). Asymptotically efficient prediction of a random field with a misspecified covariance function. Annals of Statistics, 16, 55-63.

[9] Stein, M. L. (1988). An application of the theory of equivalence of Gaussian measures to a prediction problem. IEEE Transactions on Information Theory, 34, 580-582.

[10] Stein, M. L. and Handcock, M. S. (1989). Some asymptotic properties of kriging when the covariance function is misspecified. Mathematical Geology, 21, 171-190.

[11] Stein, M. L. (1989). The loss of efficiency in kriging prediction caused by misspecifications of the covariance structure. Geostatistics, vol. 1, ed. M. Armstrong. Kluwer, Dordrecht, 273-282.

[12] Stein, M. L. (1989). Asymptotic distributions of minimum norm quadratic estimators of the covariance function of a Gaussian random field. Annals of Statistics, 17, 980-1000.

[13] Stein, M. L. (1990). Uniform asymptotic optimality of linear predictions of a random field using an incorrect second-order structure. Annals of Statistics, 18, 850-872.

[14] Stein, M. L. (1990). Bounds on the efficiency of linear predictions using an incorrect covariance function. Annals of Statistics, 18, 1116-1138.

[15] Stein, M. L. (1990). A comparison of generalized cross validation and modified maximum likelihood for estimating the parameters of a stochastic process. Annals of Statistics, 18, 1139-1157.

[16] Stein, M. L. (1991). A kernel approximation to the kriging predictor of a spatial process. Annals of the Institute of Statistical Mathematics, 43, 61-75.

[17] Stein, M. L. (1991). A new class of estimators for the reduced second moment measure of point processes. Biometrika, 78, 281-286.

[18] Niu, X. and Stein, M. L. (1992). Space-time ARMA models for satellite ozone data. Computing Science and Statistics, eds. C. Page and R. LePage. Springer-Verlag, New York, 225-234.

[19] Stein, M. L. (1992). Prediction and inference for truncated spatial data. Journal of Computational and Graphical Statistics, 1, 91-110.

[20] Styer, P. E. and Stein, M. L. (1992). Acid deposition models for detecting the effect of changes in emissions: an exploratory investigation utilizing meteorological variables. Atmospheric Environment, 26A, 3019-3028.

[21] Niu, X., Frederick, J. E., Stein, M. L. and Tiao, G. C. (1992). Trends in column ozone based on TOMS data: Dependence on month, latitude and longitude. Journal of Geophysical Research Atmospheres, 97, D13, 14,661-14,669.

[22] Stein, M. L. (1992). Estimating the effect of emissions strategies on wet deposition of sulfates. Environmetrics, 3, 235-259.

[23] Zhang, B. and Stein, M. L. (1993). Kernel approximations for universal kriging predictors. Journal of Multivariate Analysis, 44, 286-313.

[24] Handcock, M. S. and Stein, M. L. (1993). A Bayesian analysis of kriging. Technometrics, 35, 403-410.

[25] Stein, M. L. (1993). Spline smoothing with an estimated order parameter. Annals of Statistics, 21, 1522-1544.

[26] Stein, M. L., Shen, X. and Styer, P. (1993). Applications of a simple regression model to acid rain data. Canadian Journal of Statistics, 21, 331-346.

[27] Stein, M. L. (1993). Asymptotically optimal estimation for the reduced second moment measure of point processes. Biometrika, 78, 281-286.

[28] Stein, M. L. (1993). Asymptotic properties of center systematic sampling for predicting integrals of spatial processes. Annals of Applied Probability, 3, 874-880.

[29] Stein, M. L. (1993). A simple condition for asymptotic optimality of linear predictions of random fields. Statistics and Probability Letters, 17, 399-404.

[30] Stein, M. L. (1995). An approach to asymptotic inference for spatial point processes. Statistica Sinica, 5, 221-234.

[31] Stein, M. L. (1995). Predicting integrals of stochastic processes. Annals of Applied Probability, 5, 158-170.

[32] Stein, M. L. (1995). Fixed domain asymptotics for spatial periodograms. Journal of the American Statistical Association, 90, 1277-1288.

[33] Stein, M. L. (1995). Predicting integrals of random fields using observations on a lattice. Annals of Statistics, 23, 1975-1990.

[34] Stein, M. L. (1995). Locally lattice sampling designs for isotropic random fields. Annals of Statistics, 23, 1991-2012.

[35] Floresroux, E. M. and Stein, M. L. (1996). A new method of edge correction for estimating the nearest neighbor distribution. Journal of Statistical Planning and Inference, 50, 353-371.

[36] Stein, M. L. (1997). Efficiency of linear predictors for periodic processes using an incorrect covariance function. Journal of Statistical Planning Inference, 58, 321-331.

[37] Fang, D. and Stein, M. L. (1998). Some statistical methods for analyzing the TOMS data. Journal of Geophysical Research, 103, 26,165-26,182.

[38] Stein, M. L. (1998). Predicting random fields with increasingly dense observations. Annals of Applied Probability, 9, 242-273.

[39] Quashnock, J. M. and Stein, M. L. (1999). A new measure of the clustering QSO heavy-element absorption-line systems. Astrophysical Journal, 515, 506-511

[40] Stein, M. L. (1999). Inference for point processes based on many short realizations. In Proceedings of the 31st Symposium on the Interface: Models, Predictions, and Computing, eds. K. Berk and M. Pourahmadi. Interface Foundation of North America, Fairfax, VA, 352-360.

[41] Stein, M. L., Quashnock, J. M. and Loh, J. M. (2000). Estimating the K function of a point process with an application to cosmology. Annals of Statistics, 28, 1503-1532.

[42] Stein, M. L. (2001). Local stationarity and simulation of self-affine intrinsic random functions. IEEE Transactions on Information Theory, 47, 1385-1390.

[43] Loh, J. M., Quashnock, J. M. and Stein, M. L. (2001). A measurement of the threedimensional clustering of C IV absorption-line systems on scales of 5 to 300 h-1Mpc. Astrophysical Journal, 560, 606-616.

[44] Stein, M. L. (2002). The screening effect in kriging. Annals of Statistics, 30, 298-323.

[45] Stein, M. L (2002). Fast and exact simulation of fractional Brownian surfaces. Journal of Computational and Graphical Statistics, 11, 587-599.

[46] Choi, D., Tiao, G. C. and Stein, M. L. (2002). A statistical model for latitudinal correlations of satellite data. Journal of Geophysical Research, 107, art. no. 4295.

[47] Lesht, B. M., Stroud, J. R., McCormick, M. J., Fahnensteil, G. L., Stein, M. L., Welty, L. J. and Leshkevich, G. A. (2002). An event-driven phytoplankton bloom in southern Lake Michigan observed by satellite. Geophysical Research Letters, 29, 10. 1029/2001GL013533.

[48] Zhu, Z. and Stein, M. L.(2002). Parameter estimation for fractional Brownian surfaces. Statistica Sinica, 12, 863-883.

[49] Loh, J. M., Stein, M. L. and Quashnock, J. M. (2003). Estimating the large-scale structure of the universe using QSO carbon IV absorbers. Journal of the American Statistical Association, 98, 522-532.

[50] Stein, M. L. (2004). Equivalence of Gaussian measures for some nonstationary random fields. Journal of Statistical Planning and Inference, 123, 1-11.

[51] Welty, L. J. and Stein, M. L. (2004). Modeling phytoplankton: Covariance and variogram model specification for phytoplankton levels in Lake Michigan. In geoENV IV, Geostatistics for Environmental Applications, eds. X. Sanchez-Vila, J. Carrera and J. J. Gomez-Hernandez. Kluwer, Dordrecht, 163-173.

[52] Welty, L. J., Stein, M. L., Lesht, B. M., Vanderploeg, H. A., and Johenger, T. H. (2004). A quantitative correction for non-photochemical quenching in the calibration of chlorophyll fluorescence in chlorophyll a concentration, applied to Lake Michigan. CISES Technical Report 17.

[53] Loh, J. M. and Stein, M. L. (2004). Bootstrapping a spatial point process. Statistica Sinica, 14, 69-101.

[54] Stein, M. L., Chi, Z. and Welty, L. J. (2004). Approximating likelihoods for large spatial datasets. Journal of the Royal Statistical Society, Series B, 66, 275-296.

[55] Jun, M. and Stein, M. L. (2004). Statistical comparison of observed and CMAQ modeled daily sulfate levels. Atmospheric Environment, 38, 4427-4436.

[56] Guillas, S., Stein, M. L., Wuebbles, D. J. and Xia, J. (2004). A statistical evaluation of total ozone trends using a chemical-transport model. Journal of Geophysical Research, 109, D22303, doi: 10.1029/2004JD005049.

[57] Stein, M. L. (2005). Space-time covariance functions. Journal of the American Statistical Association, 100, 310-321.

[58] Stein, M. L. (2005). Statistical methods for regular monitoring data. Journal of the Royal Statistical Society, Series B, 67, 667-687.

[59] Im, H., Stein, M. L. and Kotomarthi, V. R. (2005). A new approach to scenario analysis using simplified chemical transport nmodels. Journal of Geophysical Research, 110, D24205, doi: 10.1029/2005JD006417.

[60] Zhu, Z. and Stein, M. L. (2006). Spatial sampling design for prediction with estimated parameters. Journal of Agricultural, Biological and Environmental Statistics, 11, 24-49.

[61] Shao, X. and Stein, M. L.  (2006). Statistical conditional simulation of a multiresolution numerical air quality model. Journal of Geophysical Research, Atmospheres. Vol. 111, D15211, doi:10.1029/2005JD007037.

[62] Vrac, M., Hayhoe, K. and Stein, M. L. (2006). Identification and inter-model comparison of seasonal circulation patterns over North America.  International Journal of Climatology, DOI: 10.1002/joc.1422.

[63] Stein, M. L. (2007). Seasonal variations in the spatial-temporal dependence of total column ozone.  Environmetrics, 18, 71-86.

[64] Shao, X., Stein, M. L. and Ching, J. (2007). Statistical comparisons of methods for interpolating the output of a numerical air quality model.  Journal of Statistical Planning and Inference, 137, 2277-2293.

[65] Jun, M. and Stein, M. L. (2007). An approach to producing space-time covariance functions on spheres. Technometrics, 49, 468-479.

[66] Im., H. K., Stein, M. L. and Zhu, Z.  (2007). Semiparametric estimation of spectral density with irregular observations.  Journal of the American Statistical Association, 102, 726-735.

[67] Stein, M. L. (2007). Spatial variation of total column ozone on a global scale. Annals of Applied Statistics, I, 191-210.

[68] Vrac, M., Stein, M. L., Hayhoe, K. (2007). Statistical downscaling of precipitation through a nonhomogeneous stochastic weather typing approach. Journal of Climate Research, 34, 169-184.

[69] Zhang, Z., Beletsky, D., Schwab, D. J. and Stein, M. L. (2007). Assimilation of current measurements into a circulation model of Lake Michigan. Water Resources Research, 43, Art. No. W11407.

[70] Vrac, M., Stein, M. L., Hayhoe, K. and Liang, X. Z. (2007). A general method for validating statistical downscaling methods under future climate change. Geophysical Research Letters, 34, Art. No. L18701.

[71] Stein, M. L. (2007). A modeling approach for large spatial datasets. Journal of the Korean Statistical Society, 37/1, pp. 3-10, doi:10.1016/j.jkss.2007.09.001.

[72] Ma, L., Stein, M. L., Wang, M., Shelton, A. O., Pfister, C. A., and Wilder, K. J. (2007). Species abundance along a curvy margin: correcting sampling biases for coastlines, rivers, and other convoluted edges. CISES Technical Report 46.

[73] Jun, M. and Stein, M. L. (2007). Nonstationary covariance models for global data. CISES Technical Report 47.

[74] Anderes, E. B. and Stein, M. L.(2008). Estimating deformations of isotropic Gaussian random fields on the plane.  Annals of Statistics, 36, 719-741.

[75] Stroud, J., Lesht, B., Schwab, D., Beletsky, D. and Stein, M. L. Space-time forecasting of Lake Michigan sediment levels using satellite observations and a numerical model. Submitted for publication, Journal of Geophysical Research - Oceans.

[76] Chen, L., Stein, M. L., Zubrow, A. Statistical comparison of observed and multiresolution CMAQ modeled hourly ozone concentrations.  Submitted for publication to Atmospheric Environment.

[77] Loh., J. M. and Stein, M. L. Spatial bootstrap with increasing observations in a fixed domain.  Accepted for publication, Statistica Sinica.

[78] Lim, C. and Stein, M. L. Asymptotic properties of spatial cross-periodograms using fixed-domain asymptotics. Accepted for publication to Journal of Multivariate  Analysis.

Discussions and reviews:

[1] Stein, M. L. (1989). Discussion of “Space-time modelling with long-memory dependence: assessing Irelands wind power resource,” by J. Haslett and A. Raftery. Applied Statistics, 38, 39.

[2] Stein, M. L. (1989). Review of Statistical Analysis of Spherical Data by N. I. Fisher, T. Lewis, and B. J. J. Embleton. Technometrics, 31, 393-394.

[3] Stein, M. L. (1990). Discussion of “Design and Analysis of Computer Experiments,” by J. Sacks, W. J. Welch, T. J., and H. P. Wynn. Statistical Science, 4, 432-433.

[4] Stein, M. L. (1990). Review of Estimating and Choosing, by G. Matheron. Technometrics, 32, 358-359.

[5] Stein, M. L. (1991). Review of The Analysis of Directional Time Series: Applications to Wind Speed and Direction, by J. Breckling. Technometrics, 33, 485-486.

[6] Stein, M. L. and Fang, D. (1997). Discussion of “Ozone exposure and population density in Harris County, Texas,” by R. J. Carroll, et al. Journal of the American Statistical Association, 92, 408-411.

[7] Stein, M. L. (1998). Discussion of “Model-based geostatistics,” by P.J. Diggle, J.A. Tawn and R.A. Moyeed. Applied Statistics, 47, 341-342.

[8] Stein, M. L. (1998). Discussion of “The kriged Kalman filter,” by K. V. Mardia, et al. Test, 7, 272-276.

[9] Stein, M. L. (1999). Discussion of “Prediction of spatial cummulative distribution functions using subsampling,” by S. N. Lahiri, et al. Journal of the American Statistical Association, 94, 106-107.

[10] Stein, M. L. (2000). Review of Geostatistics: Modeling Spatial Uncertainty, by J.-P. Chilès and P. Delfiner. Journal of the American Statistical Association, 95, 335-337.

 

Last update: 4/08

 

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