-
1
-
-
27644531588
-
Second-order analysis by variograms for curvature measures of two-phase structures
-
C. H. Arns, J. Mecke, K. Mecke, and D. Stoyan, Second-order analysis by variograms for curvature measures of two-phase structures, Eur. Phys. J. B Condens. Matter Phys. 47, 397-409 (2005).
-
(2005)
Eur. Phys. J. B Condens. Matter Phys
, vol.47
, pp. 397-409
-
-
Arns, C.H.1
Mecke, J.2
Mecke, K.3
Stoyan, D.4
-
2
-
-
55449129164
-
-
K. A. Brakke, 200, 000, 000 random Voronoi polygons, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-11 (1985).
-
K. A. Brakke, 200, 000, 000 random Voronoi polygons, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-11 (1985).
-
-
-
-
3
-
-
55449098770
-
-
K. A. Brakke, Statistics of random plane Voronoi tessellations, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-30 (1985).
-
K. A. Brakke, Statistics of random plane Voronoi tessellations, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-30 (1985).
-
-
-
-
4
-
-
55449115898
-
-
K. A. Brakke, Statistics of three dimensional random Voronoi tessellations, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-17 (1985).
-
K. A. Brakke, Statistics of three dimensional random Voronoi tessellations, Dept. of Math. Sciences, Susquehanna University, Selinsgrove (Pennsylvania), 1-17 (1985).
-
-
-
-
5
-
-
0042380129
-
Precise formulae for the distributions of the principal geometric characteristics of the typical cell of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process
-
P. Calka, Precise formulae for the distributions of the principal geometric characteristics of the typical cell of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process, Adv. Appl. Probab. 35, 551-562 (2003).
-
(2003)
Adv. Appl. Probab
, vol.35
, pp. 551-562
-
-
Calka, P.1
-
6
-
-
0141607465
-
An explicit expression of the distribution of the number of sides of the typical Poisson-Voronoi cell
-
P. Calka, An explicit expression of the distribution of the number of sides of the typical Poisson-Voronoi cell, Adv. Appl. Probab. 35, 863-870 (2003).
-
(2003)
Adv. Appl. Probab
, vol.35
, pp. 863-870
-
-
Calka, P.1
-
8
-
-
0027933579
-
Stereological analysis of the spatial Poisson-Voronoi tessellation
-
U. Hahn and U. Lorz, Stereological analysis of the spatial Poisson-Voronoi tessellation, J. Microsc. 175, No. 3, 176-185 (1994).
-
(1994)
J. Microsc
, vol.175
, Issue.3
, pp. 176-185
-
-
Hahn, U.1
Lorz, U.2
-
9
-
-
0013513816
-
On inversion formulae for n-fold Palm distributions of point processes in LCS-spaces
-
K.-H. Hanisch, On inversion formulae for n-fold Palm distributions of point processes in LCS-spaces, Math. Nachr. 106, 171-179 (1982).
-
(1982)
Math. Nachr
, vol.106
, pp. 171-179
-
-
Hanisch, K.-H.1
-
10
-
-
84985425941
-
Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes
-
L. Heinrich, Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes, Math. Nachr. 136, 131-148 (1988).
-
(1988)
Math. Nachr
, vol.136
, pp. 131-148
-
-
Heinrich, L.1
-
11
-
-
0007420038
-
Normal approximation for some mean-value estimates of absolutely regular tessellations
-
L. Heinrich, Normal approximation for some mean-value estimates of absolutely regular tessellations, Math. Methods Statist. 3, 1-24 (1994).
-
(1994)
Math. Methods Statist
, vol.3
, pp. 1-24
-
-
Heinrich, L.1
-
12
-
-
55449117026
-
-
L. Heinrich and L. Muche, On the pair correlation function of the point process of nodes in a Voronoi tessellation, Preprint 94-07, TU Bergakademie Freiberg, Fak. für Mathematik und Informatik, 1-30 (1994).
-
L. Heinrich and L. Muche, On the pair correlation function of the point process of nodes in a Voronoi tessellation, Preprint 94-07, TU Bergakademie Freiberg, Fak. für Mathematik und Informatik, 1-30 (1994).
-
-
-
-
13
-
-
0346040157
-
Generation of the typical cell of a non-Poissonian Johnson-Mehl tessellation
-
L. Heinrich and E. Schüle, Generation of the typical cell of a non-Poissonian Johnson-Mehl tessellation, Comm. Statist. Stochastic Models 11, No. 3, 541-560 (1995).
-
(1995)
Comm. Statist. Stochastic Models
, vol.11
, Issue.3
, pp. 541-560
-
-
Heinrich, L.1
Schüle, E.2
-
14
-
-
0343471717
-
Contact and chord length distribution of a stationary Voronoi tessellation
-
L. Heinrich, Contact and chord length distribution of a stationary Voronoi tessellation, Adv. Appl. Probab. 30, 603-618 (1998).
-
(1998)
Adv. Appl. Probab
, vol.30
, pp. 603-618
-
-
Heinrich, L.1
-
15
-
-
11744329897
-
Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations
-
L. Heinrich, R. Körner, N. Mehlhorn, and L. Muche, Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations, Statistics 31, 235-259 (1998).
-
(1998)
Statistics
, vol.31
, pp. 235-259
-
-
Heinrich, L.1
Körner, R.2
Mehlhorn, N.3
Muche, L.4
-
16
-
-
33746907869
-
Central limit theorems for Poisson hyperplane tessellations
-
L. Heinrich, H. Schmidt, and V. Schmidt, Central limit theorems for Poisson hyperplane tessellations, Ann. Appl. Probab. 16, 919-950 (2006).
-
(2006)
Ann. Appl. Probab
, vol.16
, pp. 919-950
-
-
Heinrich, L.1
Schmidt, H.2
Schmidt, V.3
-
18
-
-
0002927510
-
On the homogeneous planar Poisson process
-
R. E. Miles, On the homogeneous planar Poisson process, Math. Biosc. 6, 85-127 (1970).
-
(1970)
Math. Biosc
, vol.6
, pp. 85-127
-
-
Miles, R.E.1
-
19
-
-
0001178214
-
Isotropic random simplices
-
R. E. Miles, Isotropic random simplices, Adv. Appl. Probab. 3, 353-382 (1971).
-
(1971)
Adv. Appl. Probab
, vol.3
, pp. 353-382
-
-
Miles, R.E.1
-
20
-
-
0002593765
-
The basic structures of Voronoi and generalized Voronoi polygons
-
R. E. Miles and R. J. Maillardet, The basic structures of Voronoi and generalized Voronoi polygons, J. Appl. Probab. 19 A, 97-111 (1982).
-
(1982)
J. Appl. Probab
, vol.19
, Issue.A
, pp. 97-111
-
-
Miles, R.E.1
Maillardet, R.J.2
-
22
-
-
0003231693
-
Lectures on Random Voronoi Tessellations
-
Springer, New York
-
J. Møller, Lectures on Random Voronoi Tessellations, Lecture Notes in Statistics Vol. 87 (Springer, New York, 1994).
-
(1994)
Lecture Notes in Statistics
, vol.87
-
-
Møller, J.1
-
23
-
-
84985399698
-
The Poisson-Voronoi tessellation I. A basic identity
-
J. Mecke and L. Muche, The Poisson-Voronoi tessellation I. A basic identity, Math. Nachr. 176, 199-208 (1995).
-
(1995)
Math. Nachr
, vol.176
, pp. 199-208
-
-
Mecke, J.1
Muche, L.2
-
24
-
-
0000580729
-
The Poisson-Voronoi tessellation II. Edge length distribution functions
-
L. Muche, The Poisson-Voronoi tessellation II. Edge length distribution functions, Math. Nachr. 178, 271-283 (1996).
-
(1996)
Math. Nachr
, vol.178
, pp. 271-283
-
-
Muche, L.1
-
25
-
-
0008402307
-
The Poisson-Voronoi tessellation III. Miles' formula
-
L. Muche, The Poisson-Voronoi tessellation III. Miles' formula, Math. Nachr. 191, 247-267 (1998).
-
(1998)
Math. Nachr
, vol.191
, pp. 247-267
-
-
Muche, L.1
-
26
-
-
22244488409
-
The Poisson-Voronoi tessellation: Relationships for edges
-
L. Muche, The Poisson-Voronoi tessellation: Relationships for edges, Adv. Appl. Probab. 37, 279-296 (2005).
-
(2005)
Adv. Appl. Probab
, vol.37
, pp. 279-296
-
-
Muche, L.1
-
27
-
-
0006113474
-
Contact and chord length distributions of the Poisson-Voronoi tessellation
-
L. Muche and D. Stoyan, Contact and chord length distributions of the Poisson-Voronoi tessellation, J. Appl. Probab. 29, 467-471 (1992).
-
(1992)
J. Appl. Probab
, vol.29
, pp. 467-471
-
-
Muche, L.1
Stoyan, D.2
-
28
-
-
0004001779
-
-
2nd ed, Wiley & Sons, Chichester
-
A. Okabe, B. Boots, K. Sugihara, and S. N. Chiu, Spatial Tessellations, 2nd ed. (Wiley & Sons, Chichester, 2000).
-
(2000)
Spatial Tessellations
-
-
Okabe, A.1
Boots, B.2
Sugihara, K.3
Chiu, S.N.4
-
29
-
-
0035497809
-
Central limit theorems for some graphs in computational geometry
-
M. D. Penrose and J. E. Yukich, Central limit theorems for some graphs in computational geometry, Ann. Appl. Probab. 11, 1005-1041 (2001).
-
(2001)
Ann. Appl. Probab
, vol.11
, pp. 1005-1041
-
-
Penrose, M.D.1
Yukich, J.E.2
-
30
-
-
0040198042
-
A formula for the edge length distribution of the Poisson Voronoi tessellation
-
M. Schlather, A formula for the edge length distribution of the Poisson Voronoi tessellation, Math. Nachr. 214, 113-119 (2000).
-
(2000)
Math. Nachr
, vol.214
, pp. 113-119
-
-
Schlather, M.1
-
32
-
-
0003444918
-
-
2nd ed, Wiley & Sons, Chichester
-
D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and its Applications, 2nd ed. (Wiley & Sons, Chichester, 1995).
-
(1995)
Stochastic Geometry and its Applications
-
-
Stoyan, D.1
Kendall, W.S.2
Mecke, J.3
|