[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.