PUBLICATIONS
- P.
Chakraborty, M. M. Meerschaert, and C. Y. Lim, Parameter
Estimation for Fractional Transport: A particle tracking approach,
Water Resources Research,
Vol. 45 (2009), W10415, doi:10.1029/2008WR007577.
- Bill
X. Hu, Mark M. Meerschaert, Warren Barrash,
David W. Hyndman,
Changming He, Xinya Li, and Luanjing Guo, Examining
the
Influence of Heterogeneous Porosity Fields on Conservative Solute
Transport, Journal of
Contaminant Hydrology, Vol. 108 (2009), Issues 3-4, pp. 77–88,
doi:10.1016/j.jconhyd.2009.06.001.
- T.J. Kozubowski,
M.M. Meerschaert, A
bivariate
infinitely divisible distribution with exponential and Mittag-Leffler
marginals, Statistics
and Probability Letters, Vol. 79 (2009), pp. 1596-1601.
- M.M.
Meerschaert, E. Nane, P. Vellaisamy, Fractional
Cauchy
problems on bounded domains, The
Annals of Probability, Vol. 37 (2009), No. 3, pp. 979–1007.
- M.M. Meerschaert, E. Nane, Y. Xiao, Correlated
continuous time random walks, Statistics
and Probability Letters, Vol. 79 (2009), pp. 1194-1202.
- B. Baeumer, M.M. Meerschaert, E. Nane, Brownian
subordinators
and fractional Cauchy problems, Transactions of the American
Mathematical Society, Vol. 361 (2009), No. 7, pp. 3915–3930.
- D.A. Benson, M.M.
Meerschaert, A simple and
efficient random walk solution of multi-rate mobile/immobile mass
transport equations, Advances in
Water Resources, Vol. 32 (2009), pp. 532–539.
- M.M. Meerschaert, S. Stoev, Extremal limit theorems
for observations
separated by random power law waiting times, Journal of Statistical Planning and
Inference, Vol.139 (2009), pp. 2175-2188.
- H. Guo, C.Y. Lim, M.M. Meerschaert, Local
Whittle
estimator for anisotropic random fields, Journal of Multivariate Analysis,
Vol. 100 (2009), No. 5, pp. 993-1028,
doi:10.1016/j.jmva.2008.10.002.
- D.A. Benson, M.M. Meerschaert, Simulation of chemical reaction
via
particle
tracking: diffusion-limited versus thermodynamic rate-limited regimes,
Water Resources Research, Vol.
44 (2008), p. W12201, doi:10.1029/2008WR007111.
- J.F. Kelly and R.J. McGough, M.M. Meerschaert, Time-Domain
3D
Green’s Functions for Power Law Media, Journal of the Acoustical Society of
America, Vol. 124 (2008) No. 5, pp. 2861–2872.
- B. Baeumer, M. Kovács, M.M. Meerschaert,
Subordinated multiparameter
groups of linear
operators: Properties via the transference principle, Functional Analysis and
Evolution Equations. The Günter Lumer Volume.
Edited by H. Amann, W. Arendt, M. Hieber,
F. Neubrander, S. Nicaise and J. von Below. Birkhäuser Basel,
ISBN 978-3-7643-7793-9, (2008) pp. 35-50.
- Y. Zhang, M.M. Meerschaert, B. Baeumer, Particle
tracking for time-fractional diffusion, Physical Review E, Vol.78 (2008),
No.3, p. 036705 (7 pp.), DOI: 10.1103/PhysRevE.78.036705
- M.M. Meerschaert, S.W. Wheatcraft, Fractional
Conservation of Mass, Advances in Water Resources, Vol.
31 (2008), pp. 1377–1381.
- M.M. Meerschaert, Y. Zhang, B. Baeumer, Tempered
anomalous diffusion in heterogeneous systems, Geophysical Research Letters, Vol.
35 (2008), p. L17403, doi:10.1029/2008GL034899.
- M.M. Meerschaert, D. Wu, and Y. Xiao, Local
Times of Multifractional
Brownian Sheets, Bernoulli, Vol. 14 (2008), No. 3, pp.
865–898, DOI: 10.3150/08-BEJ126.
- D.M. Reeves, D.A. Benson, M.M.
Meerschaert, Influence of
Fracture Statistics on Advective Transport
and Implications for Geologic Repositories, Water Resources
Research, Vol. 44 (2008), W08405, doi:10.1029/2007WR006179.
- M.M. Meerschaert, H.P. Scheffler, Triangular array
limits for continuous time random walks, Stochastic Processes
and their Applications, Vol. 118 (2008), No. 9, pp. 1606–1633.
- M.M. Meerschaert, E. Nane, and Y. Xiao, Large
deviations for local time fractional Brownian motion and applications,
Journal of Mathematical Analysis and Applications, Vol. 346
(2008), pp. 432–445.
- D.M. Reeves, D.A. Benson, M.M. Meerschaert, H.P. Scheffler, Transport of Conservative Solutes in
Simulated Fracture Networks 2. Ensemble Solute Transport and the
Correspondence to Operator-Stable Limit Distributions, Water
Resources Research, Vol. 44 (2008), W05410,
doi:10.1029/2008WR006858.
- D.M. Reeves,
D.A. Benson, M.M. Meerschaert, Transport of
Conservative Solutes in
Simulated Fracture Networks 1. Synthetic Data Generation, Water
Resources Research, Vol. 44 (2008), W05404,
doi:10.1029/2007WR006069
- B. Baeumer, M. Kovács, M.M. Meerschaert, Numerical
solutions for fractional reaction-diffusion equations, Computers and Mathematics with Applications,
Vol. 55 (2008), pp. 2212–2226.
- N.D. Monnig, D.A. Benson, M.M. Meerschaert, Ensemble
Solute Transport in 2-D
Operator-Scaling Random Fields, Water
Resources Research, Vol. 44 (2008), W02434,
doi:10.1029/2007WR005998.
- T.J. Kozubowski, M.M. Meerschaert, G. Gustafson, A new
stochastic model for fracture transmissivity assessment, Water
Resources Research, Vol. 44 (2008), p. W02435,
doi:10.1029/2007WR006053.
- P. L. Anderson, L. Kavalieris, M.M.
Meerschaert, Innovations
Algorithm Asymptotics for Periodically Stationary Time Series
with Heavy Tails, Journal of
Multivariate Analysis, Vol. 99 (2008), No. 1, pp. 94-116, DOI 10.1016/j.jmva.2007.02.005.
- B. Baeumer, M. Kovács, M.M. Meerschaert, Fractional
reproduction-dispersal equations and heavy tail dispersal kernels
(corrected version), Bulletin
of Mathematical
Biology, Vol. 69 (2007), pp. 2281-2297.
- D.A. Benson, R. Schumer, M.M. Meerschaert, Extreme
events with power law interarrivals, Geophysical Research Letters, Vol. 34 (2007), No. 16, L16404.
- P.L. Anderson, M.M. Meerschaert, Y.G. Tesfaye, Fourier-PARMA
Models and Their Application to Modeling of River Flows, Journal of Hydrologic Engineering,
Vol. 12 (2007), No. 5, pp. 462-472.
- M.M. Meerschaert, Mathematical
Modeling , 3rd Edition, Academic Press, 2007, ISBN
978-0-12-370857-1.
- Y. Zhang, D.A. Benson, M.M. Meerschaert, E. M. LaBolle, Space-fractional
advection-dispersion equations with variable parameters: Diverse
formulas, numerical solutions, and application to the MADE-site data,
Water Resources Research,
Vol. 43 (2007), p. W05439, doi:10.1029/2006WR004912.
- H. Biermé, M.M. Meerschaert,
H.P. Scheffler, Operator
Scaling Stable Random Fields, Stochastic Processes and their
Applications, Vol. 117 (2007), pp. 312–332.
- C. Tadjeran, M.M. Meerschaert, A second order
accurate numerical method for the two-dimensional fractional diffusion
equation, Journal of Computational Physics, Vol. 220 (2007)
pp. 813–823. Click here
to download the FORTRAN source code used in Section 5 of this paper
to implement the Crank-Nicholson alternating directions implicit method
with interpolation scheme.
- B. Baeumer, M.M. Meerschaert, Fractional
diffusion with two time scales, Physica
A: Statistical Mechanics and Its
Applications, Vol. 373 (2007), pp. 237–251
- M. Kovács, M.M. Meerschaert, Ultrafast
subordinators and their hitting times, Publications de
l'Institut Mathematique, Nouvelle série, Vol. 80(94) (2006),
193–206; Memorial volume for Tatjana Ostrogorski.
- T.J. Kozubowski, M.M. Meerschaert, K.
Podgórski, Fractional
Laplace Motion, Advances in Applied Probability, Vol. 38
(2006), No. 2, pp. 451-464.
- Y. Zhang, D.A. Benson, M.M.
Meerschaert, E. M. LaBolle, and H.P. Scheffler, Random
walk
approximation of fractional-order multiscaling
anomalous diffusion, Physical Review E, Vol. 74 (2006),
026706 (10 pp).
- M.M. Meerschaert, E. Scalas, Coupled
continuous time random walks in finance, Physica A: Statistical
Mechanics and Its Applications, Vol. 370 (2006), pp. 114-118.
- Y. Zhang, D.A. Benson, M.M.
Meerschaert, E. M. LaBolle, and H.P. Scheffler, Lagrangian
characterization of contaminant transport through multidimensional
heterogeneous media with limited heterogeneity information. Conference Proceedings for MODFLOW and
MORE 2006: Managing Ground-Water Systems, International Ground
Water Modeling Center, pp. 639-643.
- M.M. Meerschaert, H.P. Scheffler, Stochastic
model for ultraslow diffusion, Stochastic
Processes and Their Applications, Vol. 116 (2006), No. 9, pp.
1215-1235.
- M.M. Meerschaert, J.
Mortensen, and S.W. Wheatcraft,
Fractional
vector calculus for fractional advection-dispersion, Physica A:
Statistical Mechanics and Its Applications, Vol. 367 (2006), pp.
181-190.
- Y. Zhang, D.A. Benson, M.M.
Meerschaert, H.P. Scheffler, On
using random walks to
solve the space-fractional advection-dispersion equations, Journal of Statistical Physics,
Vol. 123 (2006), No.1, pp. 89-110.
- M. Kohlbecker, S.W. Wheatcraft and
M.M. Meerschaert, Heavy
tailed
log hydraulic conductivity distributions imply heavy tailed log
velocity distributions (10.2 MB), Water Resources Research, Vol.
42
(2006), No. 4, article W04411 (12 pp.), doi:10.1029/2004WR003815.
- I.B.
Aban, M.M. Meerschaert, and A.K. Panorska, Parameter
Estimation
for the Truncated Pareto Distribution, Journal of the American
Statistical Association: Theory and Methods,
Volume 101 (2006), Number 473, pp.270-277. Winner of the 2007
best paper award for a University of
Alabama at Birmingham
Based Investigator in the Area of General Statistics, from the Science Unbound
Foundation. Click here
to download the Microsoft Excel spreadsheet tool for
computing the trauncated Pareto parameter conditional maximum
likelihood estimator from this paper.
- C. Tadjeran, M.M. Meerschaert, H.P.
Scheffler, A
second order
accurate numerical approximation for the fractional diffusion equation, Journal of Computational Physics,
Vol. 213 (2006), No. 1, pp. 205-213. Click
here to download the FORTRAN source code used in Section 5 of this
paper to implement the Crank-Nicholson method and interpolation scheme.
- Y.G. Tesfaye, M.M. Meerschaert, and
Paul L. Anderson, Identification
of PARMA
Models and Their Application to the Modeling of Riverflows, Water
Resources Research, Vol. 42 (2006), No. 1, W01419 (11pp.),
doi:10.1029/2004WR003772.
- D.A. Benson, M.M. Meerschaert, B.
Baeumer, H.P. Scheffler, Aquifer
Operator-Scaling
and the Effect on Solute Mixing and Dispersion, Water
Resources Research, Vol. 42 (2006), No. 1, W01415 (18 pp.),
doi:10.1029/2004WR003755.
- M.M. Meerschaert and C. Tadjeran, Finite
difference
approximations for two-sided space-fractional partial differential
equations, Applied Numerical Mathematics, Vol.
56 (2006), No. 1, pp. 80-90. Click
here to download the FORTRAN source code used in Section 4 of this
paper to implement the implicit Euler method for a two-sided fractional
Fokker-Planck equation.
- M.M. Meerschaert, H.P. Scheffler and
C. Tadjeran, Finite
difference
methods for two-dimensional fractional dispersion equation, Journal of Computational Physics,
Vol. 211 (2006), No. 1, pp. 249-261. Click
here to download the FORTRAN source code used in Section 4 of this
paper to implement the implicit Euler ADI method.
- B. Baeumer, M.M. Meerschaert, and S.
Kurita, Inhomogeneous
fractional diffusion equations, Fractional Calculus and Applied
Analysis, Vol. 8, No 4 (2005), pp. 371-386.
- E.
Scalas, R. Gorenflo, F. Mainardi, and M.M. Meerschaert, Speculative
option valuation and the fractional diffusion equation, Fractional derivatives and their
applications,
pp. 265-274, A. Le Mehauté, J. A. Tenreiro Machado, J. C.
Trigeassou
and J. Sabatier, Eds. (2005), Ubooks, Germany, ISBN 3-86608-026-3.
- F.J. Molz,
M.M. Meerschaert, T.J. Kozubowski and P.D. Hyden, Do
heterogeneous
sediment properties and
turbulent velocity fluctuations have something in common?
Some history and a new stochastic process.
pp. 13-22,
Dynamics
of Fluids and Transport in
Fractured Rock. B. Faybishenko, P.A.Witherspoon, and
J. Gale, Editors. Geophysical Monograph
Series, Volume 162, 250 pages, hardbound, 2005, ISBN 0-87590-427-0.
- P.L. Anderson and M.M.
Meerschaert, Parameter
estimation
for periodically stationary time series, Journal of Time Series
Analysis, Vol. 26 (2005), No. 4, pp. 489-518.
- D.D. Clarke, M.M. Meerschaert and S.W.
Wheatcraft, Fractal
Travel
Time Estimates for Dispersive Contaminants, Ground Water, Vol. 43 (2005), No.
3, pp. 401-407.
- B. Baeumer, M.M. Meerschaert, J.
Mortensen, Space-time
fractional
derivative operators, Proceedings of the American Mathematical
Society, Vol. 133 (2005), No. 8, pp. 2273–2282.
- B. Baeumer, D.A. Benson, M.M.
Meerschaert, Advection and
dispersion
in time and space, Physica A: Statistical Mechanics and Its
Applications, Vol. 350 (2005), No. 2-4, pp. 245-262.
- M.M. Meerschaert and H.P. Scheffler, Limit
theorems for
continuous time random walks with slowly varying waiting times, Statistics
and Probability Letters, Vol. 71 (2005), No. 1, pp.15-22.
- T.J. Kozubowski, M.M. Meerschaert,
A.K. Panorska and H.P. Scheffler, Operator
geometric
stable
laws, Journal of Multivariate Analysis, Vol. 92 (2005) pp.
298-323.
- M.M. Meerschaert and Y. Xiao, Dimension
results
for sample paths of operator stable Levy processes, Stochastic
Processes
and Their Applications Vol. 115 (2005), No. 1, pp. 55-75.
- D.A. Benson, C. Tadjeran, M.M.
Meerschaert, I. Farnham, and G. Pohll, Radial
Fractional–Order
Dispersion Through Fractured Rock, Water Resources Research,
Vol. 40 (2004), No. 12, pp. 1-9, doi:10.1029/2004WR003314.
- M.M. Meerschaert and C. Tadjeran, Finite
difference approximations
for fractional advection-dispersion flow equations Journal of
Computational
and Applied Mathematics, Vol. 172 (2004), No. 1, pp. 65-77. Click
here to download the FORTRAN source code as well as a
sample terminal session used in section 3 of this paper to
implement
the implicit Euler method to solve the space-fractional radial flow
equation.
- M.M. Meerschaert and H.P. Scheffler, Limit
theorems for
continuous time random walks with infinite mean waiting times Journal
of Applied Probability, Vol 41 (2004), No. 3, pp. 623-638.
- M.M. Meerschaert, J. Mortensen and
H.P. Scheffler, Vector
Grünwald
formula for fractional derivatives Fractional Calculus and
Applied
Analysis, Vol. 7 (2004), No. 1, pp. 61-81.
- P. Becker-Kern, M.M. Meerschaert and
H.P. Scheffler, Limit
theorem
for
continuous time random walks with two time scales, Journal of
Applied
Probability, Vol. 41 (2004), pp. 455-466.
- M.M. Meerschaert, T.J. Kozubowski, F.J.
Molz, and S. Lu, Fractional
Laplace
Model for Hydraulic Conductivity Geophysical Research Letters,
Vol. 31, No. 8 (2004), pp. 1-4, doi:10.1029/2003GL019320.
- I.B. Aban and M.M. Meerschaert, Generalized
least
squares estimators for the thickness of heavy tails, Journal of
Statistical Planning and Inference, Vol. 119 (2004), pp. 341-352.
- P. Becker-Kern, M.M. Meerschaert
and H.P. Scheffler, Limit
theorems
for coupled continuous time random walks, The Annals of
Probability,
Vol. 32 (2004), No. 1B, pp. 730–756.
- R. Schumer; D. A. Benson; M.M.
Meerschaert and B. Baeumer, Fractal
mobile/immobile
solute transport, Water Resources Research, Vol. 39
(2003),
No. 10, p. 1296 (12 pp.), doi:10.1029/2003WR002141.
- T.J. Kozubowski, M.M. Meerschaert and
H.P. Scheffler, The
operator
nu-stable
laws, Publ. Math. Debrecen, Vol. 63 (2003), No. 4, pp.
569-585.
- P. Becker-Kern, M.M. Meerschaert and H.P. Scheffler, Hausdorff
dimension of operator stable sample paths, Monatshefte
fur
Mathematik, Vol. 140 (2003), No. 2, pp. 90-101.
- M.M. Meerschaert and H.P. Scheffler, Nonparametric
methods
for heavy tailed vector data: A survey with applications from
finance
and hydrology, Recent advances and trends in nonparametric
statistics,
pp. 265-279, M. G. Akritas and D.N. Politis, Eds., Elsevier
Science
(2003), ISBN 0-444-51378-7.
- M.M. Meerschaert and H.P. Scheffler, Portfolio
modeling
with heavy tailed random vectors, Handbook of Heavy-Tailed
Distributions
in Finance, pp. 595-640, S. T. Rachev, Ed., Elsevier North-Holland,
New York (2003) ISBN 0-444-50896-1.
- R. Schumer, D. A. Benson, M.M. Meerschaert and B. Baeumer, Multiscaling
fractional advection-dispersion equations and their solutions, Water
Resources Research, Vol. 39 (2003) No. 1, pp. 1022-1032, article
10.1029/2001WR000756.
- M.M. Meerschaert and S. Sepanski, Regular
variation and the functional central
limit theorem for
heavy
tailed
random vectors. Institut Mathématique. Publications.
Nouvelle
Série (Belgrade Mathematics Institute Publications, New
Series),
Vol. 71 (2002), pp. 55-62.
- M.G. Herrick, D.A. Benson, M.M. Meerschaert and K.R. McCall, Hydraulic
conductivity, velocity, and the
order of the fractional
dispersion
derivative in a highly heterogeneous system, Water Resources
Research,
Vol. 38 (2002), No. 11, pp. 1227-1239, article 10.1029/2001WR000914.
- M.M. Meerschaert, D.A. Benson, H.P. Scheffler, and P.
Becker-Kern, Governing
equations
and solutions of anomalous random walk limits, Physical Review E,
Vol. 66 (2002) No. 6, pp. 102R-105R.
- M.M. Meerschaert, D.A. Benson, H.P. Scheffler, and B. Baeumer, Stochastic
solution
of space-time fractional diffusion equations. Physical Review E,
Vol. 65 (2002), No. 4, pp. 1103-1106.
- M.M. Meerschaert and H.P. Scheffler, Semistable
Lévy
motion. Fractional Calculus and Applied Analysis,Vol.
5 (2002), No. 1, pp. 27-54.
- M.M. Meerschaert and H.P. Scheffler, Limit
Distributions
for Sums of Independent Random Vectors: Heavy Tails in Theory and
Practice , Wiley & Sons, New York, 2001, xiv+486 pp., ISBN
0-471-35629-8.
- B. Baeumer and M.M. Meerschaert, Stochastic
solutions
for fractional Cauchy problems (corrected version). Fractional
Calculus and Applied Analysis, Vol. 4 (2001), No. 4, pp. 481-500.
- I.B. Aban and M.M. Meerschaert, Shifted
Hill's estimator for heavy tails. Communications in
Statistics:
Simulation and Computation, Vol. 30 (2001), No. 4, pp.
949-962.
- M.M. Meerschaert and H.P. Scheffler, Sample
cross-correlations
for moving averages with regularly varying tails. Journal of
Time
Series Analysis, Vol. 22 (2001), No. 4, pp. 481-492.
- B. Baeumer, D. A. Benson, M.M. Meerschaert and S. W. Wheatcraft, Subordinated advection-dispersion
equation for contaminant
transport. Water
Resources Research, Vol. 37 (2001), No. 6, pp. 1543-1550.
- R. Schumer, D. A. Benson, M.M. Meerschaert and S. W. Wheatcraft, Eulerian
derivation
of the fractional advection-dispersion equation. Journal of
Contaminant
Hydrology, Vol. 38 (2001), pp. 69-88.
- D.A. Benson, R. Schumer, M.M. Meerschaert and S. W. Wheatcraft, Fractional
dispersion, Le'vy motion, and
the MADE tracer
tests. Transport
in Porous Media, Vol. 42 (2001), pp. 211-240.
- M.M. Meerschaert, D.A. Benson, and B. Baeumer, Operator
Lévy
motion and multiscaling anomalous diffusion. Physical Review E,
Vol. 63 (2001), pp. 021112-021117.
- M.M. Meerschaert and H.P. Scheffler, Moving averages of random
vectors with regularly varying tails, Journal
of Time Series Analysis, Vol. 21 (2000), pp. 297-328.
- M.M. Meerschaert and H.P. Scheffler, Limit laws for symmetric
k-tensors of regularly varying measures, Journal
of Multivariate Analysis, vol. 73 (2000), pp. 241-261.
- D.A. Benson, S.W. Wheatcraft and M.M. Meerschaert, The fractional-order governing equation
of Lévy motion, Water
Resources Research, Vol. 36 , No. 6 (2000), pp. 1413-1424.
- D.A. Benson, S.W. Wheatcraft and M.M. Meerschaert, Application of a fractional
advection-dispersion equation, Water
Resources
Research, Vol. 36 , No. 6 (2000), pp. 1403-1412.
- M.M. Meerschaert and H.P. Scheffler, One
dimensional marginals
of operator stable laws and their domains of attraction, Publicationes
Mathematicae Debrecen, Vol. 55 (1999), No. 3-4, pp. 487-499.
- M.M. Meerschaert and H.P. Scheffler, Spectral decomposition for
operator-self-similar processes and
their
generalized
domains of attraction, Stochastic Processes and Their Applications
, Vol. 84 (1999) pp. 71-80.
- M.M. Meerschaert and H.P. Scheffler, Moment
estimator for random vectors with
heavy tails, Journal
of
Multivariate
Analysis, vol. 71 (1999), No. 1, pp. 145-159.
- P.L. Anderson, M.M. Meerschaert and A.V. Vecchia, Innovations
algorithm
for periodically stationary time series (corrected version) ,
Stochastic
Processes
and Their Applications, Vol. 83 (1999) pp. 149-169.
- M.M. Meerschaert and H.P. Scheffler, Sample covariance matrix for
random vectors with heavy tails, Journal
of Theoretical Probability, Vol. 12 (1999), No. 3, pp. 821-838.
- W. B. Whiting, V. R. Vasquez, M.M. Meerschaert, Techniques
for assessing the
effects of uncertainties in
thermodynamic
models and data, Fluid Phase Equilibria, Vol. 158-160
(1999)
pp.
627-641.
- M.M. Meerschaert, D.A. Benson, and B. Baeumer, Multivariable
advection
and fractional dispersion, Physical Review E, Vol. 59
(1999)
No. 5, pp. 5026-5028.
- M.M. Meerschaert and H.P. Scheffler, Multivariable regular
variation of functions and measures, Journal
of
Applied Analysis, Vol. 5 (1999), No. 1, pp. 125-146.
- M.M. Meerschaert, Mathematical
Modeling , 2nd Edition, Academic Press, 1999.
- M.M. Meerschaert and H.P. Scheffler, A
simple robust estimation method for the
thickness of heavy
tails, Journal
of Statistical Planning and Inference, Vol. 71 (1998), No. 1-2, pp.
19-34.
- P.L. Anderson and M.M. Meerschaert, Modeling
river flows with heavy tails, Water
Resources
Research,
Vol. 34 (1998) No. 9, pp. 2271-2280.
- M.M. Meerschaert and H.P. Scheffler, Convergence
of semitypes, Publicationes
Mathematicae Debrecen
,
Vol. 53 (1998), No. 1-2, pp. 119-131.
- P.L. Anderson and M.M. Meerschaert, Periodic
moving averages of random variables
with regularly
varying
tails, The
Annals of Statistics, Vol. 25 (1997), No. 2, pp. 771-185.
- M.M. Meerschaert and H.P. Scheffler, The structure of generalized
domains of semistable attraction, Statistics
and Probability Letters, Vol. 33 (1997), pp. 367-372.
- M.M. Meerschaert and H.P. Scheffler, Spectral decomposition for
generalized domains semistable of
attraction, The
Journal of Theoretical Probability, Vol. 10 (1997), No. 1, pp.
51-71.
- M.M. Meerschaert and H.P. Scheffler, Series representation for
semistable laws and their domains of
semistable
attraction, The Journal of Theoretical Probability, Vol. 9
(1996)
No. 4, pp. 931-959.
- M.M. Meerschaert and H.P. Scheffler, Generalized domains of
semistable attraction of nonnormal laws, The
Journal of Applied Analysis, Vol. 2 (1996), No. 2, pp. 203-215.
- C. Gupta and M.M. Meerschaert, Mathematical modeling experience
for teachers, Proceedings of
the
Second
Biannual Symposium of Mathematical Modeling, June 13-15, 1996.
- M.M. Meerschaert and J.A. Veeh, Symmetry
Groups in d-Space, Statistics
and Probability Letters
,
Vol. 22 (1995), No. 1, pp. 1-6.
- M.M. Meerschaert, Norming Operators for Generalized Domains of
Attraction, Journal
of
Theoretical Probability, Vol. 7 (1994), pp. 793-798.
- V. Mandrekar, M.M. Meerschaert, Sample Moments and Symmetric
Statistics, Stochastic Analysis on
Infinite
Dimensional Spaces, Pitman Research Notes in Mathematics, Vol.
310
(1994), pp. 197-210.
- M.M. Meerschaert, Mathematical
Modeling , Academic Press, 1993.
- M.M. Meerschaert, Regular Variation
and Generalized Domains
of Attraction in Rk , Statistics and Probability
Letters, Vol. 18 (1993)
No. 2, pp.
233-239.
- M.M. Meerschaert and J.A. Veeh, The
Structure of the Exponents and
Symmetries of an Operator
Stable
Law, Journal
of Theoretical Probability, Vol. 6 (1993), No. 4, 713-726.
- M.M. Meerschaert, Pseudomoments for Generalized Domains of
Attraction, Proceedings
of
the American Mathematical Society, vol. 113 (1991), pp. 1071-1075.
- M.M. Meerschaert, Regular Variation in Rk
and
Vector-Normed Domains of
Attraction, Statistics
and Probability Letters, vol. 11 (1991), pp. 287-289.
- M.M. Meerschaert, Spectral Decomposition for Generalized Domains
of Attraction, The
Annals
of Probability, vol. 19 (1991), pp. 875-892.
- M.M. Meerschaert, Computing the Symmetries and Exponents of
Operator-Stable Laws, Proceedings
of the 22nd Symposium on the Interface between Computer Science and
Statistics,
May 1990, 461-462.
- M.M. Meerschaert, Moments of Random Vectors which Belong to Some
Domain of Normal
Attraction, The
Annals of Probability, vol. 18 (1990), pp. 870-876.
- M.M. Meerschaert, AMS Referendum, letter to the editor, Notices
of the American
Mathematical
Society, vol. 36 (1989).
- M.M. Meerschaert, W. P. Cherry, Modelling the Performance of a
Scanning Radio Communications
Sensor, Naval
Research Logistics Quarterly, vol. 35 (1988), pp. 307-315.
- M.M. Meerschaert, Regular Variation in Rk,
Procedings
of the
American
Mathematical
Society, vol. 102 (1988), pp. 341-348.
- M.M. Meerschaert, Domains of Attraction
of Nonnormal
Operator-Stable Laws, Journal
of
Multivariate Analysis, vol. 19 (1986), pp. 342-347.
- M.M. Meerschaert, Regular Variation
and Domains of Attraction
in Rk, Statistics
and Probability Letters, vol. 4 (1986), pp. 43-45.
- M.M. Meerschaert, Multivariable Domains of Attraction and
Regular Variation, Doctoral
Thesis, The University of Michigan, August 1984.