-
1
-
-
0032222172
-
On the variance of the number of maxima in random vectors and applications
-
MR1627803
-
BAI, Z.-D., CHAO, C.-C., HWANG, H.-K. and LIANG, W.-Q. (1998). On the variance of the number of maxima in random vectors and applications. Ann. Appl. Probab. 8 886-895. MR1627803
-
(1998)
Ann. Appl. Probab
, vol.8
, pp. 886-895
-
-
BAI, Z.-D.1
CHAO, C.-C.2
HWANG, H.-K.3
LIANG, W.-Q.4
-
2
-
-
0002998733
-
-
BAI, Z.-D., HWANG, H.-K., LIANG, W.-Q. and TSAI, T.-H. (2001). Limit theorems for the number of maxima in random samples from planar regions. Electronic J. Probab. 6 1-41. MRI816046
-
BAI, Z.-D., HWANG, H.-K., LIANG, W.-Q. and TSAI, T.-H. (2001). Limit theorems for the number of maxima in random samples from planar regions. Electronic J. Probab. 6 1-41. MRI816046
-
-
-
-
4
-
-
0035712391
-
-
BARBOUR, A. D. and XIA, A. (2001). The number of two dimensional maxima. Adv. in Appl. Probab. 33 727-750. MRI875775
-
BARBOUR, A. D. and XIA, A. (2001). The number of two dimensional maxima. Adv. in Appl. Probab. 33 727-750. MRI875775
-
-
-
-
5
-
-
0001034387
-
On the distribution of the number of admissible points in a vector
-
MR0207003
-
BARNDORFF-NIELSEN, O. and SOBEL, M. (1966). On the distribution of the number of admissible points in a vector. Theory Probab. Appl. 11 249-269. MR0207003
-
(1966)
Theory Probab. Appl
, vol.11
, pp. 249-269
-
-
BARNDORFF-NIELSEN, O.1
SOBEL, M.2
-
6
-
-
0034374793
-
-
BARYSHNIKOV, YU. (2000). Supporting-points processes and some of their applications. Probab. Theory Related Fields 117 163-182. MR1771659
-
BARYSHNIKOV, YU. (2000). Supporting-points processes and some of their applications. Probab. Theory Related Fields 117 163-182. MR1771659
-
-
-
-
7
-
-
14544281094
-
-
BARYSHNIKOV, YU. and YUKICH, J. E. (2005). Gaussian limits for random measures in geometric probability. Ann. Appl. Probab. 15 213-253. MR2115042
-
BARYSHNIKOV, YU. and YUKICH, J. E. (2005). Gaussian limits for random measures in geometric probability. Ann. Appl. Probab. 15 213-253. MR2115042
-
-
-
-
8
-
-
51949085077
-
-
BARYSHNIKOV, YU. and YUKICH, J. E. (2005). Gaussian limits and maximal points. Preprint. Available at http://www.lehigh. edu/~jey0/publications.html.
-
BARYSHNIKOV, YU. and YUKICH, J. E. (2005). Gaussian limits and maximal points. Preprint. Available at http://www.lehigh. edu/~jey0/publications.html.
-
-
-
-
9
-
-
51949088213
-
-
BILLINGSLEY, P. (1968). Convergence of Probability Measures. Wiley, New York. MR0233396
-
BILLINGSLEY, P. (1968). Convergence of Probability Measures. Wiley, New York. MR0233396
-
-
-
-
10
-
-
21844507773
-
Limit theorems for functionals of convex hulls
-
MR1292189
-
CABO, A. J. and GROENEBOOM, P. (1994). Limit theorems for functionals of convex hulls. Probab. Theory Related Fields 100 31-55. MR1292189
-
(1994)
Probab. Theory Related Fields
, vol.100
, pp. 31-55
-
-
CABO, A.J.1
GROENEBOOM, P.2
-
11
-
-
27844451672
-
Efficient maxima finding algorithms for random planar samples
-
MR2011337
-
CHEN, W.-M., HWANG, H.-K. and TSAI, T.-H. (2003). Efficient maxima finding algorithms for random planar samples. Discrete Math. Theor. Comput. Sci. 6 107-122. MR2011337
-
(2003)
Discrete Math. Theor. Comput. Sci
, vol.6
, pp. 107-122
-
-
CHEN, W.-M.1
HWANG, H.-K.2
TSAI, T.-H.3
-
12
-
-
0031067218
-
A central limit theorem for linear Kolmogorov's birth-growth models
-
MR1431872
-
CHIU, S. N. (1997). A central limit theorem for linear Kolmogorov's birth-growth models. Stock Proc. Appl. 66 97-106. MR1431872
-
(1997)
Stock Proc. Appl
, vol.66
, pp. 97-106
-
-
CHIU, S.N.1
-
13
-
-
0031478723
-
d with inhomogeneous Poisson arrivals
-
MR1459271
-
d with inhomogeneous Poisson arrivals. Ann. Appl. Probab. 7 802-814. MR1459271
-
(1997)
Ann. Appl. Probab
, vol.7
, pp. 802-814
-
-
CHIU, S.N.1
QUINE, M.P.2
-
15
-
-
0036065613
-
A regularity condition and strong limit theorems for linear birth-growth processes
-
MR1912374
-
CHIU, S. N. and LEE, H. Y. (2002). A regularity condition and strong limit theorems for linear birth-growth processes. Math. Nachr. 241 21-27. MR1912374
-
(2002)
Math. Nachr
, vol.241
, pp. 21-27
-
-
CHIU, S.N.1
LEE, H.Y.2
-
16
-
-
0008411565
-
Records, the maximal layer, and uniform distributions in monotone sets
-
MR1199909
-
DEVROYE, L. (1993). Records, the maximal layer, and uniform distributions in monotone sets. Comput. Math. Appl. 25 19-31. MR1199909
-
(1993)
Comput. Math. Appl
, vol.25
, pp. 19-31
-
-
DEVROYE, L.1
-
17
-
-
51949108733
-
-
EHRGOTT, M. (2000). Multicriteria Optimization. Springer, Berlin. MR1788966
-
EHRGOTT, M. (2000). Multicriteria Optimization. Springer, Berlin. MR1788966
-
-
-
-
18
-
-
0000052947
-
Limit theorems for convex hulls
-
MR0959514
-
GROENEBOOM., P. (1988). Limit theorems for convex hulls. Probab. Theory Related Fields 79 327-368. MR0959514
-
(1988)
Probab. Theory Related Fields
, vol.79
, pp. 327-368
-
-
GROENEBOOM, P.1
-
19
-
-
0001008606
-
On the approximation of a ball by random polytopes
-
MR1303867
-
KÜFER, K. H. (1994). On the approximation of a ball by random polytopes. Adv. in Appl. Probab. 26 876-892. MR1303867
-
(1994)
Adv. in Appl. Probab
, vol.26
, pp. 876-892
-
-
KÜFER, K.H.1
-
20
-
-
0000053713
-
On statistical theory of metal crystallisation
-
In Russian
-
KOLMOGOROV, A.N. (1937). On statistical theory of metal crystallisation. Izvestia Academy of Science USSR Ser. Math. 3 355-360. (In Russian.)
-
(1937)
Izvestia Academy of Science USSR Ser. Math
, vol.3
, pp. 355-360
-
-
KOLMOGOROV, A.N.1
-
21
-
-
0000605457
-
Random Johnson-Mehl tessellations
-
MR 1188954
-
MØLLER, J. (1992). Random Johnson-Mehl tessellations. Adv. in Appl. Probab. 24 814-844. MR 1188954
-
(1992)
Adv. in Appl. Probab
, vol.24
, pp. 814-844
-
-
MØLLER, J.1
-
22
-
-
51949111663
-
-
PENROSE, M. D. (2003). Random Geometric Graphs. Clarendon Press, Oxford. MR1986198
-
PENROSE, M. D. (2003). Random Geometric Graphs. Clarendon Press, Oxford. MR1986198
-
-
-
-
23
-
-
34547700101
-
Gaussian limits for random geometric measures
-
To appear
-
PENROSE, M. D. (2007). Gaussian limits for random geometric measures. Electron. J. Probab. To appear.
-
(2007)
Electron. J. Probab
-
-
PENROSE, M.D.1
-
24
-
-
0036117358
-
Limit theory for random sequential packing and deposition
-
MR 1890065
-
PENROSE, M. D. and YUKICH, J. E. (2002). Limit theory for random sequential packing and deposition. Ann. Appl. Probab. 12 272-301. MR 1890065
-
(2002)
Ann. Appl. Probab
, vol.12
, pp. 272-301
-
-
PENROSE, M.D.1
YUKICH, J.E.2
-
25
-
-
0037274513
-
Weak laws of large numbers in geometric probability
-
MR 1952000
-
PENROSE, M. D. and YUKICH, J. E. (2004). Weak laws of large numbers in geometric probability. Ann. Appl. Probab. 13 277-303. MR 1952000
-
(2004)
Ann. Appl. Probab
, vol.13
, pp. 277-303
-
-
PENROSE, M.D.1
YUKICH, J.E.2
-
26
-
-
85136400913
-
Normal approximation in geometric probability
-
Stein's Method and Applications, A. D. Barbour and L. H. Y. Chen, eds, Singapore Univ. Press. Available at
-
PENROSE, M. D. and YUKICH, J. E. (2005). Normal approximation in geometric probability. In Stein's Method and Applications. Lecture Notes Ser. Inst. Math. Sci. Nat. Univ. Singap. 5 (A. D. Barbour and L. H. Y. Chen, eds.) 37-58. Singapore Univ. Press. Available at http://www.lehigh.edu/~jey0/publications.html.MR2201885
-
(2005)
Lecture Notes Ser. Inst. Math. Sci. Nat. Univ. Singap
, vol.5
, pp. 37-58
-
-
PENROSE, M.D.1
YUKICH, J.E.2
-
28
-
-
0036014648
-
-
REITZNER, M. (2002). Random points on the boundary of smooth convex bodies. Trans. Amer. Math. Soc. 354 2243-2278. MRI885651
-
REITZNER, M. (2002). Random points on the boundary of smooth convex bodies. Trans. Amer. Math. Soc. 354 2243-2278. MRI885651
-
-
-
-
29
-
-
0348222278
-
Random polytopes and the Efron-Stein jackknife inequality
-
MR2016615
-
REITZNER, M. (2003). Random polytopes and the Efron-Stein jackknife inequality. Ann. Probab. 32 2136-2166. MR2016615
-
(2003)
Ann. Probab
, vol.32
, pp. 2136-2166
-
-
REITZNER, M.1
-
30
-
-
6444228027
-
The combinatorial structure of random polytopes
-
MR2102847
-
REITZNER, M. (2005). The combinatorial structure of random polytopes. Adv. Math. 191 178-208. MR2102847
-
(2005)
Adv. Math
, vol.191
, pp. 178-208
-
-
REITZNER, M.1
-
31
-
-
27844503003
-
Central limit theorems for random polytopes
-
MR2197111
-
REITZNER, M. (2005). Central limit theorems for random polytopes. Probab. Theory Related Fields 133 483-507. MR2197111
-
(2005)
Probab. Theory Related Fields
, vol.133
, pp. 483-507
-
-
REITZNER, M.1
-
32
-
-
0002439974
-
Théorie des élé ments saillants d'une suite d'observations
-
Math. Institut, Aarhus Universitet, Denmark
-
RÉNYI, A. (1962). Théorie des élé ments saillants d'une suite d'observations. Colloq. on Combinatorial Methods in Prob. Theory 104-115. Math. Institut, Aarhus Universitet, Denmark.
-
(1962)
Colloq. on Combinatorial Methods in Prob. Theory
, pp. 104-115
-
-
RÉNYI, A.1
-
33
-
-
0001888582
-
Über die konvexe Hülle von zufállig gewählten Punkten II.
-
MR0156262
-
RÉNYI, A. and SULANKE, R. (1963). Über die konvexe Hülle von zufállig gewählten Punkten II. Z. Wahrsch. Verw. Gebiete 2 75-84. MR0156262
-
(1963)
Z. Wahrsch. Verw. Gebiete
, vol.2
, pp. 75-84
-
-
RÉNYI, A.1
SULANKE, R.2
-
34
-
-
51949096464
-
-
RESNICK, S. I. (1987). Extreme Values, Regular Variation and Point Processes. Springer, Berlin. MR0900810
-
RESNICK, S. I. (1987). Extreme Values, Regular Variation and Point Processes. Springer, Berlin. MR0900810
-
-
-
-
35
-
-
51949114521
-
-
SCHNEIDER, R. (1993). Convex bodies: The Brunn-Minkowski theory. Cambridge Univ. Press. MR1216521
-
SCHNEIDER, R. (1993). Convex bodies: The Brunn-Minkowski theory. Cambridge Univ. Press. MR1216521
-
-
-
-
36
-
-
51949105239
-
-
SENETA, E. (1976). Regularly Varying Functions. Springer, Berlin. M0453936
-
SENETA, E. (1976). Regularly Varying Functions. Springer, Berlin. M0453936
-
-
-
-
37
-
-
33748883088
-
Central limit theorems for random polytopes in a smooth convex set
-
MR2264072
-
VU, V. (2005). Central limit theorems for random polytopes in a smooth convex set. Adv. in Math. 207 221-243. MR2264072
-
(2005)
Adv. in Math
, vol.207
, pp. 221-243
-
-
VU, V.1
|