-
2
-
-
0000625581
-
Testing for the presence of self-similarity of Gaussian time series having stationary increments
-
J.-M. BARDET, Testing for the presence of self-similarity of Gaussian time series having stationary increments, J. Time Ser. Anal., 21 (2000), pp. 497-515.
-
(2000)
J. Time Ser. Anal.
, vol.21
, pp. 497-515
-
-
Bardet, J.-M.1
-
3
-
-
0035649721
-
Superposition of ornstein-uhlenbeck type processes
-
O. E. BARNDORFF-NIELSEN, Superposition of Ornstein-Uhlenbeck type processes, Theory Probab. Appl., 45 (2000), pp. 175-194.
-
(2000)
Theory Probab. Appl.
, vol.45
, pp. 175-194
-
-
Barndorff-Nielsen, O.E.1
-
4
-
-
0004247241
-
-
Oxford University Press, New York
-
J. B. BASSINGTHWAIGHTE, L. S. LIEBOVITCH, AND B. J. WEST, Fractal Physiology, Oxford University Press, New York, 1994.
-
(1994)
Fractal Physiology
-
-
Bassingthwaighte, J.B.1
Liebovitch, L.S.2
West, B.J.3
-
6
-
-
0031177376
-
Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series
-
M. J. CANNON, D. B. PERCIVAL, D. C. CACCIA, G. M. RAYMOND, AND J. B. BASSINGTHWAIGHTE, Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series, Phys. A, 241 (1997), pp. 606-626.
-
(1997)
Phys. A
, vol.241
, pp. 606-626
-
-
Cannon, M.J.1
Percival, D.B.2
Caccia, D.C.3
Raymond, G.M.4
Bassingthwaighte, J.B.5
-
8
-
-
0001884067
-
Characterizing surface smoothness via estimation of effective fractal dimension
-
A. G. CONSTANTINE AND P. HALL, Characterizing surface smoothness via estimation of effective fractal dimension, J. Roy. Statist. Soc. Ser. B, 56 (1994), pp. 97-113.
-
(1994)
J. Roy. Statist. Soc. Ser. B
, vol.56
, pp. 97-113
-
-
Constantine, A.G.1
Hall, P.2
-
9
-
-
0033474256
-
Fractal analysis of surface roughness by using spatial data
-
S. DAVIES AND P. HALL, Fractal analysis of surface roughness by using spatial data, J. Roy. Statist. Soc. Ser. B, 61 (1999), pp. 3-37.
-
(1999)
J. Roy. Statist. Soc. Ser. B
, vol.61
, pp. 3-37
-
-
Davies, S.1
Hall, P.2
-
10
-
-
0028975051
-
A simple and efficient space-domain implementation of the turning bands method
-
C. R. DIETRICH, A simple and efficient space-domain implementation of the turning bands method, Water Resources Research, 31 (1995), pp. 147-156.
-
(1995)
Water Resources Research
, vol.31
, pp. 147-156
-
-
Dietrich, C.R.1
-
11
-
-
0031173547
-
Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix
-
C. R. DIETRICH AND G. X. NEWSAM, Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix, SIAM J. Sci. Comput., 18 (1997), pp. 1088-1107.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1088-1107
-
-
Dietrich, C.R.1
Newsam, G.X.2
-
12
-
-
0001655696
-
Evaluating the fractal dimension of profiles
-
B. DUBUO, J. F. QUINIOU, C. ROQUES-CARMES, C. TRICOT, AND S. W. ZUCKER, Evaluating the fractal dimension of profiles, Phys. Rev. A, 39 (1989), pp. 1500-1512.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 1500-1512
-
-
Dubuo, B.1
Quiniou, J.F.2
Roques-Carmes, C.3
Tricot, C.4
Zucker, S.W.5
-
13
-
-
84958428943
-
An empirical law describing heterogeneity in the yields of agricultural crops
-
H. FAIRFIELD SMITH, An empirical law describing heterogeneity in the yields of agricultural crops, J. Agric. Sci., 28 (1938), pp. 1-23.
-
(1938)
J. Agric. Sci.
, vol.28
, pp. 1-23
-
-
Smith, H.F.1
-
14
-
-
0003649545
-
-
Wiley, Chichester, UK
-
K. FALCONER, Fractal Geometry, Mathematical Foundations and Applications, Wiley, Chichester, UK, 1990.
-
(1990)
Fractal Geometry, Mathematical Foundations and Applications
-
-
Falconer, K.1
-
15
-
-
0038383051
-
The nature of discrete second-order self-similarity
-
A. GEFFERTH, D. VEITCH, I. MARICZA, S. MOLNÁR, AND I. RUZSA, The nature of discrete second-order self-similarity, Adv. Appl. Probab., 35 (2003), pp. 395-416.
-
(2003)
Adv. Appl. Probab.
, vol.35
, pp. 395-416
-
-
Gefferth, A.1
Veitch, D.2
Maricza, I.3
Molnár, S.4
Ruzsa, I.5
-
16
-
-
0002514039
-
On the derivatives of radial positive definite functions
-
T. GNEITING, On the derivatives of radial positive definite functions, J. Math. Anal. Appl., 236 (1999), pp. 86-93.
-
(1999)
J. Math. Anal. Appl.
, vol.236
, pp. 86-93
-
-
Gneiting, T.1
-
18
-
-
0034336872
-
Power-law correlations, related models for long-range dependence, and their simulation
-
T. GNEITING, Power-law correlations, related models for long-range dependence, and their simulation, J. Appl. Probab., 37 (2000), pp. 1104-1109.
-
(2000)
J. Appl. Probab.
, vol.37
, pp. 1104-1109
-
-
Gneiting, T.1
-
19
-
-
0000413704
-
On the performance of box-counting estimators of fractal dimension
-
P. HALL AND A. WOOD, On the. performance of box-counting estimators of fractal dimension, Biometrika, 80 (1993), pp. 246-252.
-
(1993)
Biometrika
, vol.80
, pp. 246-252
-
-
Hall, P.1
Wood, A.2
-
21
-
-
0000759022
-
Long-term storage capacity of reservoirs
-
H. E. HURST, Long-term storage capacity of reservoirs, Trans. Amer. Soc. Civil Engineers, 116 (1951), pp. 770-808.
-
(1951)
Trans. Amer. Soc. Civil Engineers
, vol.116
, pp. 770-808
-
-
Hurst, H.E.1
-
22
-
-
0035876536
-
Detecting long-range correlations with detrended fluctuation analysis
-
J. W. KANTELHARDT, E. KOSCIELNY-BUNDE, H. H. A. REGO, S. HAVLIN, AND A. BUNDE, Detecting long-range correlations with detrended fluctuation analysis, Phys. A, 295 (2001), pp. 441-454.
-
(2001)
Phys. A
, vol.295
, pp. 441-454
-
-
Kantelhardt, J.W.1
Koscielny-Bunde, E.2
Rego, H.H.A.3
Havlin, S.4
Bunde, A.5
-
23
-
-
0028693949
-
Extending self-similarity for fractional Brownian motion
-
L. M. KAPLAN AND C.-C. J. KUO, Extending self-similarity for fractional Brownian motion, IEEE Trans. Signal Process., 42 (1994), pp. 3526-3530.
-
(1994)
IEEE Trans. Signal Process.
, vol.42
, pp. 3526-3530
-
-
Kaplan, L.M.1
Kuo, C.-C.J.2
-
24
-
-
0001587844
-
Indication of a universal persistence law governing atmospheric variability
-
E. KOSCIELNY-BUNDE, A. BUNDE, S. HAVLIN, H. E. ROMAN, Y. GOLDREICH, AND H.- J. SCHELLNHUBER, Indication of a universal persistence law governing atmospheric variability, Phys. Rev. Lett., 81 (1998), pp. 729-732.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 729-732
-
-
Koscielny-Bunde, E.1
Bunde, A.2
Havlin, S.3
Roman, H.E.4
Goldreich, Y.5
Schellnhuber, H.-J.6
-
25
-
-
0034083348
-
A generalized mathematical framework for stochastic simulation and forecast of hydrologic time series
-
D. KOUTSOYIANNIS, A generalized mathematical framework for stochastic simulation and forecast of hydrologic time series, Water Resources Research, 36 (2000), pp. 1519-1533.
-
(2000)
Water Resources Research
, vol.36
, pp. 1519-1533
-
-
Koutsoyiannis, D.1
-
26
-
-
0001158208
-
Method for generating long-range correlations for large systems
-
H. A. MAKSE, S. HAVLIN, M. SCHWARTZ, AND H. E. STANLEY, Method for generating long-range correlations for large systems, Phys. Rev. E, 53 (1996), pp. 5445-5449.
-
(1996)
Phys. Rev. E
, vol.53
, pp. 5445-5449
-
-
Makse, H.A.1
Havlin, S.2
Schwartz, M.3
Stanley, H.E.4
-
28
-
-
0010286926
-
Gaussian self-affinity and fractals
-
Springer-Verlag, New York
-
B. B. MANDELBROT, Gaussian Self-Affinity and Fractals, Selecta (Old or New) Vol. H, Springer-Verlag, New York, 2002.
-
(2002)
Selecta (Old or New)
, vol.H
-
-
Mandelbrot, B.B.1
-
29
-
-
0000501589
-
Fractional Brownian motions, fractional noises and applications
-
B. B. MANDELBROT AND J. W. VAN NESS, Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10 (1968), pp. 422-437.
-
(1968)
SIAM Rev.
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.B.1
Van Ness, J.W.2
-
30
-
-
0015764255
-
The intrinsic random functions and their applications
-
G. MATHERON, The intrinsic random functions and their applications, Adv. in Appl. Probab., 5 (1973), pp. 439-468.
-
(1973)
Adv. in Appl. Probab.
, vol.5
, pp. 439-468
-
-
Matheron, G.1
-
31
-
-
0037695447
-
Gaussian sample functions and the Hausdorff dimension of level crossings
-
S. OREY, Gaussian sample functions and the Hausdorff dimension of level crossings, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 15 (1970), pp. 249-256.
-
(1970)
Z. Wahrscheinlichkeitstheorie und Verw. Gebiete
, vol.15
, pp. 249-256
-
-
Orey, S.1
-
32
-
-
0037133243
-
Natural variability of atmospheric temperatures and geomagnetic intensity over a wide range of time scales
-
J. D. PELLETIER, Natural variability of atmospheric temperatures and geomagnetic intensity over a wide range of time scales, Proc. Natl. Acad. Sci. USA, 99 (2002), pp. 2546-2553.
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, pp. 2546-2553
-
-
Pelletier, J.D.1
-
33
-
-
34547856203
-
Mosaic organization of DNA nucleotides
-
C.-K. PENG, S. V. BULDYREV, S. HAVLIN, M. SIMONS, H. E. STANLEY, AND A. L. GOLDBERGER, Mosaic organization of DNA nucleotides, Phys. Rev. E, 49 (1994), pp. 1685-1689.
-
(1994)
Phys. Rev. E
, vol.49
, pp. 1685-1689
-
-
Peng, C.-K.1
Buldyrev, S.V.2
Havlin, S.3
Simons, M.4
Stanley, H.E.5
Goldberger, A.L.6
-
35
-
-
0347178848
-
Generation of short and long range temporal correlated noises
-
A. H. ROMERO AND J.-M. SANCHO, Generation of short and long range temporal correlated noises, J. Comput. Phys., 156 (1999), pp. 1-11.
-
(1999)
J. Comput. Phys.
, vol.156
, pp. 1-11
-
-
Romero, A.H.1
Sancho, J.-M.2
-
36
-
-
1042274741
-
Simulation and analysis of random fields
-
M. SCHLATHER, Simulation and analysis of random fields, R News, 1 (2) (2001), pp. 18-20.
-
(2001)
R News
, vol.1
, Issue.2
, pp. 18-20
-
-
Schlather, M.1
-
37
-
-
84862386076
-
-
contributed package on random field simulation for R, available online from
-
M. SCHLATHER, RandomFields, contributed package on random field simulation for R, available online from http://cran.r-project.org/src/contrib/ PACKAGES.html, 2001-2003.
-
(2001)
RandomFields
-
-
Schlather, M.1
-
38
-
-
0001148345
-
Long-range dependence and global warming
-
V. Barnett and K. P. Turkman, eds., Wiley, Chichester, UK
-
R. L. SMITH, Long-range dependence and global warming, in Statistics for the Environment, V. Barnett and K. P. Turkman, eds., Wiley, Chichester, UK, 1993, pp. 141-161.
-
(1993)
Statistics for the Environment
, pp. 141-161
-
-
Smith, R.L.1
-
40
-
-
3142681196
-
Fractional brownian motion and long-range dependence
-
P. Doukhan, G. Oppenheim, and M. S. Taqqu, eds., Birkhäuser, Boston
-
M. S. TAQQU, Fractional Brownian motion and long-range dependence, in Theory and Applications of Long-Range Dependence, P. Doukhan, G. Oppenheim, and M. S. Taqqu, eds., Birkhäuser, Boston, 2003, pp. 1-38.
-
(2003)
Theory and Applications of Long-Range Dependence
, pp. 1-38
-
-
Taqqu, M.S.1
-
41
-
-
0000233505
-
Estimators for long-range dependence: An empirical study
-
M. S. TAQQU, V. TEVEROVSKY, AND W. WILLINGER, Estimators for long-range dependence: An empirical study, Fractals, 3 (1995), pp. 785-798.
-
(1995)
Fractals
, vol.3
, pp. 785-798
-
-
Taqqu, M.S.1
Teverovsky, V.2
Willinger, W.3
-
43
-
-
85040955697
-
-
Cambridge University Press, Cambridge, UK
-
D. L. TURCOTTE, Fractals and Chaos in Geology and Geophysics, 2nd ed., Cambridge University Press, Cambridge, UK, 1997.
-
(1997)
Fractals and Chaos in Geology and Geophysics, 2nd Ed.
-
-
Turcotte, D.L.1
-
45
-
-
84908144695
-
The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms
-
P. D. WELCH, The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms, IEEE Trans. Audio Electroacoustics, 15 (1967), pp. 70-73.
-
(1967)
IEEE Trans. Audio Electroacoustics
, vol.15
, pp. 70-73
-
-
Welch, P.D.1
-
46
-
-
0041750481
-
On the variation of yield variance with plot size
-
P. WHITTLE, On the variation of yield variance with plot size, Biometrika, 43 (1956), pp. 337-343.
-
(1956)
Biometrika
, vol.43
, pp. 337-343
-
-
Whittle, P.1
-
47
-
-
0001633388
-
Topographic correlation, power-law covariance functions, and diffusion
-
P. WHITTLE, Topographic correlation, power-law covariance functions, and diffusion, Biometrika, 49 (1962), pp. 305-314.
-
(1962)
Biometrika
, vol.49
, pp. 305-314
-
-
Whittle, P.1
|