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- 1
-
S. Aalto, I. Norros, J.T. Virtamo, J.L. van den Berg, and E. Smeitink.
Architectural issues of ATM based connectionless overlay
network.
Telecom. Systems, 5:159-175, 1996.
- 2
-
S. E. Alm.
On the distribution of scan statistics of a two-dimensional poisson
process.
Adv. Appl. Prob., 29:1-18, 1997.
- 3
-
F. Aurenhammer.
Power diagrams: properties, algorithms and applications.
SIAM J. Comput., 16(1):78-96, 1987.
- 4
-
F. Aurenhammer.
Voronoi diagrams - a survey of a fundamental geometric data
structure.
ACM Comp. Surv., 23(3):345-405, 1991.
- 5
-
F. Baccelli and P. Brémaud.
Elements of Queueing Theory.
Springer, Berlin, 1994.
- 6
-
F. Baccelli, M. Klein, M. Lebourges, and S. Zuyev.
Géométrie aléatoire et architecture de réseaux.
Ann. Télécommun., 51:158-179, 1996.
- 7
-
F. Baccelli, M. Klein, and S. Zuyev.
Perturbation analysis of functionals of random measures.
Adv. Appl. Prob., 27:306-325, 1995.
- 8
-
F. Baccelli and S. Zuyev.
Stochastic geometry models of mobile communication networks.
In J.H. Dshalalow, editor, Frontiers in Queueing: Models and
Applications in Science and Engineering, pages 227-243, Boca Raton, 1997.
CRC Press.
- 9
-
F. Baccelli and S. Zuyev.
Poisson-Voronoi spanning trees with applications to the
optimization of communication networks.
Oper. Res., 1998.
- 10
-
A.J. Baddeley.
A limit theorem for statistics of spatial data.
J. Appl. Probab., 12:447-461, 1980.
- 11
-
A.J. Baddeley and R.D. Gill.
Kaplan-Meier estimators for interpoint distance distributions of
spatial point processes.
Ann. Statist., 25:263-292, 1997.
- 12
-
T. Bedford and J. van den Berg.
A remark on the van Lieshout and Baddeley j-function for point
processes.
Adv. Appl. Prob., 29:19-25, 1997.
- 13
-
V. Bene
, J. Chadoeuf, and J. Ohser.
Estimation of intensity in anisotropic fibre processes.
Math. Nachr., 169:5-17, 1994.
- 14
-
B. B
aszczyszyn, E. Merzbach, and V. Schmidt.
A note on expansion for functionals of spatial marked point
processes.
Stat. and Prob. Letters, 36:299-306, 1997.
- 15
-
B. Boots.
Voronoi (Thiessen) Polygons.
Geo Books, Norwich, 1987.
- 16
-
R.J. Boucherie and M. Mandjes.
Computation of performance measures for product form cellular mobile
communication networks.
Technical Report AE 6/96, Inst. of Actuarial Sciences &
Econometrics, Universiteit van Amsterdam, 1996.
- 17
-
R.J. Boucherie and N.M. van Dijk.
On a queueing network model for cellular mobile telecommunications
networks.
Technical Report AE 21/96, Inst. of Actuarial Sciences &
Econometrics, Universiteit van Amsterdam, 1996.
- 18
-
K.A. Brakke.
Statistics of random plane Voronoi tessellations.
Preprint, Dept. of Math. Sciences, Susquehanna University,
Selinsgrove (Pennsylvania), 1985.
- 19
-
A. Brandt, P. Franken, and B. Lisek.
Stationary Stochastic Models.
J. Wiley & Sons, Chichester, 1990.
- 20
-
S.N. Chiu.
Mean-value formulae for the neighbourhood of the typical cell of a
random tessellation.
Adv. Appl. Prob., 26:565-576, 1994.
- 21
-
E. Cinlar.
An introduction to spatial queues.
In J.H. Dshalalow, editor, Advances in Queueing. Theory, Methods
and Open Problems, pages 103-118, Boca Raton, 1995. CRC Press.
- 22
-
E.G. Coffman and A. Stolyar.
Continuous polling on graphs.
Prob. Engin. Inform. Sci., 7:209-226, 1993.
- 23
-
L.B. Collins and N. Cressie.
Analysis of spatial point patterns using bundles of product density
LISA functions.
Preprint, University of Texas at San Antonio / Iowa State University,
1996.
- 24
-
D.R. Cox and V. Isham.
Point Processes.
Chapman and Hall, London, 1980.
- 25
-
D.R. Cox and V. Isham.
Stochastic models of precipitation.
In V. Barnett and K.F. Turkman, editors, Statistics for the
Environment 2, J. Wiley & Sons, New York, 1994.
- 26
-
D.R. Cox, V. Isham, and P. Northrop.
Statistical modelling and analysis of spatial patterns.
Preprint, University College London, 1997.
- 27
-
N.A.C. Cressie.
Statistics for Spatial Data.
J. Wiley & Sons, New York, 1991.
- 28
-
D.J. Daley and D. Vere-Jones.
An Introduction to the Theory of Point Processes.
Springer, New York, 1988.
- 29
-
P.J. Diggle.
Binary mosaics and the spatial pattern of heather.
Biometrics, 37:531-539, 1981.
- 30
-
P.J. Diggle.
Statistical Analysis of Spatial Point Patterns.
Academic Press, London, 1983.
- 31
-
P.J. Diggle.
Point process modelling in environmental epidemiology.
In V. Barnett and K.F. Turkman, editors, Statistics for the
Environment, New York, 1993. J. Wiley & Sons.
- 32
-
P.J. Diggle.
Spatial analysis in biometry.
Technical report, Lancaster University, 1996.
- 33
-
J. Durbin.
Asymptotic distribution of some statistics based on the bivariate
sample distribution function.
In M.L. Puri, editor, Nonparametric Techniques in Statistical
Inference, pages 435-451, London, 1970. Cambridge University Press.
- 34
-
D.E. Everitt and N.W. Macfadyen.
Analysis of multi-cellular mobile radiotelephone systems with loss.
British Telecom. J., 1:37-45, 1983.
- 35
-
D.E. Everitt and D. Manfield.
Performance analysis of cellular mobile communication systems with
dynamic channel assignment.
IEEE J. Select. Areas Commun., 7:1172-1180, 1989.
- 36
-
E.M. Florseroux and M.L. Stein.
A new method of edge correction for estimating the nearest neighbor
distribution.
J. of Statist. Planning and Inference, 50:353-371, 1996.
- 37
-
S.G. Foss and S.A. Zuyev.
On a Voronoi aggregative process related to a bivariate Poisson
process.
Adv. Appl. Prob., 28:965-981, 1996.
- 38
-
P. Franken, D. König, U. Arndt, and V. Schmidt.
Queues and Point Processes.
J. Wiley & Sons, Chichester, 1992.
- 39
-
A. Frey.
Approximations for clump characteristics of the one-dimensional
Boolean model.
Universität Ulm, 1997.
- 40
-
A. Frey and V. Schmidt.
Marked point processes in the plane II - a survey with applications
to spatial modeling of communication networks.
Universität Ulm, 1997.
- 41
-
N. Gerlich.
On the spatial multiplexing gain of SDMA for wireless local
loop access.
Preprint, Universität Würzburg, 1997.
- 42
-
E.N. Gilbert.
Random subdivisions of space into crystals.
Ann. Math. Statist., 33:958-972, 1962.
- 43
-
U. Hahn.
On the precision of some estimators of the number of cells per unit
area in planar tessellations.
Preprint, TU Bergakademie Freiberg, 1995.
- 44
-
P. Hall.
Introduction to the Theory of Coverage Processes.
J. Wiley & Sons, New York, 1988.
- 45
-
K.-H. Hanisch.
Some remarks on estimators of the distribution function of nearest
neighbour distance in stationary spatial point processes.
Math. Operationsforsch. u. Statist., Ser. Optimization,
15:409-412, 1984.
- 46
-
M.B. Hansen, A.J. Baddeley, and R.D. Gill.
First contact distributions for spatial patterns: regularity and
estimation.
Appl. Prob., 1998.
- 47
-
M.B. Hansen, R.D. Gill, and A.J. Baddeley.
Kaplan-Meier type estimators for linear contact distributions.
Scand. J. Statist., 23:129-155, 1996.
- 48
-
L. Heinrich.
Asymptotic properties of minimum contrast estimators for parameters
of boolean models.
Metrika, 31:349-360, 1993.
- 49
-
L. Heinrich.
Contact and chord length distribution of a stationary Voronoi
tessellation.
Preprint, TU Bergakademie Freiberg, 1996.
- 50
-
L. Heinrich and L. Muche.
Second-order properties of the point process of nodes in a stationary
Voronoi tessellation.
Preprint, TU Bergakademie Freiberg, 1997.
- 51
-
M. Hellebrandt and R. Mathar.
Cumulated interference power and bit-error-rates in mobile packet
radio.
Wireless Networks, 1997.
- 52
-
M. Hellebrandt and R. Mathar.
Mobility and traffic modeling for optimum system design of cellular
radio networks.
Preprint, 1997.
- 53
-
H. Hermann, H. Wendrock, and D. Stoyan.
Cell-area distributions of planar Voronoi mosaics.
Metallography, 23:189-200, 1989.
- 54
-
A.L. Hinde and R.E. Miles.
Monte Carlo estimates of the distributions of the random polygons
of the Voronoi tessellation with respect to a poisson process.
J. Statist. Comput. Simul., 10:205-223, 1980.
- 55
-
X. Huang.
Spatial Queueing Systems and Reversible Markov Processes.
PhD thesis, Georgia Institute of Technology, Atlanta, 1996.
- 56
-
J.L. Jensen.
Asymptotic normality of estimates in spatial point processes.
Scand. J. Statist., 20:97-109, 1993.
- 57
-
A.F. Karr.
Point Processes and Their Statistical Inference.
Marcel Dekker, New York, 1991.
- 58
-
J. Keilson and O.C. Ibe.
Cutoff priority scheduling in mobile cellular communication systems.
IEEE Transactions on Communications, 43:1038-1045, 1995.
- 59
-
F.P. Kelly.
Stochastic models of computer communication systems.
J. R. Statist. Soc. B, 47(3):379-395, 1985.
- 60
-
F.P. Kelly.
Blocking probabilities in large circuit-switched networks.
Adv. Appl. Prob., 18:473-505, 1986.
- 61
-
F.P. Kelly.
Loss networks.
Ann. Appl. Probab., 1(3):319-378, 1991.
- 62
-
W.S. Kendall, M.N.M. van Lieshout, and O.E. Barndorff-Nielsen.
Current Trends in Stochastic Geometry and its Applications.
Chapman and Hall, London, 1998.
- 63
-
J.F.C. Kingman.
Poisson Processes. Oxford Studies in Probability 3.
Clarendon Press, Oxford, 1993.
- 64
-
D. König and V. Schmidt.
Random Point Processes.
Teubner, Stuttgart, 1992.
- 65
-
D.P. Kroese and V. Schmidt.
A continuous polling system with general service times.
Ann. Appl. Prob., 2:906-927, 1992.
- 66
-
D.P. Kroese and V. Schmidt.
Single-server queues with spatially distributed arrivals.
Queueing Systems, 17:317-345, 1994.
- 67
-
D.P. Kroese and V. Schmidt.
Light-traffic analysis for queues with spatially distributed
arrivals.
Math. Operat. Res., 21:135-153, 1996.
- 68
-
G. Last and R. Schassberger.
A flow conservation law for surface processes.
Adv. Appl. Prob., 28:13-28, 1996.
- 69
-
G. Last and R. Schassberger.
On the distribution of the spherical contact vector of stationary
grain models.
Adv. Appl. Prob., 30:1-17, 1998.
- 70
-
W.C.Y. Lee.
Mobile Communications Design Fundamentals.
J. Wiley & Sons, New York, 1993.
- 71
-
W.C.Y. Lee.
Mobile Cellular Telecommunications.
McGraw Hill, New York, 1995.
- 72
-
K.K. Leung, W.A. Massey, and W. Whitt.
Traffic models for wireless communication networks.
IEEE J. Selec. Areas Commun., 12:1353-1364, 1994.
- 73
-
M. Mandjes.
Rare Event Analysis of Communication Networks.
PhD thesis, Vrije Universiteit Amsterdam, 1996.
- 74
-
M. Mandjes and K. Tutschku.
Efficient call handling procedures in cellular mobile networks.
Preprint, Universität Würzburg, 1996.
- 75
-
S. Mase.
Asymptotic properties of stereological estimators of volume fraction
for stationary random sets.
J. Appl. Probab., 19:111-126, 1982.
- 76
-
W.A. Massey and W. Whitt.
Networks of infinite-server queues with nonstationary Poisson
input.
Queueing Systems, 13:183-250, 1993.
- 77
-
W.A. Massey and W. Whitt.
A stochastic model to capture space and time dynamics in wireless
communications systems.
Prob. Engin. Inform. Sci., 8:541-569, 1994.
- 78
-
R. Mathar and J. Mattfeldt.
Channel assignment in cellular radio networks.
IEEE Trans. Veh. Tech., 42(4):647-656, 1993.
- 79
-
R. Mathar and J. Mattfeldt.
On the distribution of cumulated interference power in rayleigh
fading channels.
Wireless Networks, 1:31-36, 1995.
- 80
-
G. Matheron.
Random Sets and Integral Geometry.
J. Wiley & Sons, New York, 1975.
- 81
-
T. Mattfeldt, H. Frey, and C. Rose.
Second-order stereology of benign and malignant alterations of the
human mammary gland.
J. Microscopy, 171:143-151, 1993.
- 82
-
T. Mattfeldt, V. Schmidt, D. Reepschläger, C. Rose, and H. Frey.
Centered contact density functions for the statistical analysis of
random sets.
J. Microscopy, 183:158-169, 1996.
- 83
-
J. Mecke and L. Muche.
The Poisson-Voronoi tessellation I - a basic identity.
Math. Nachr., 176:199-208, 1995.
- 84
-
J.L. Meijering.
Interface area, edge length, and number of verices in crystal
aggregates with random nucleation.
Philips Journal of Research, 8:270-290, 1953.
- 85
-
R.E. Miles.
On the homogeneous planar poisson point process.
Math. Biosci., 6:85-127, 1970.
- 86
-
R.E. Miles and R.J. Maillardet.
The basis structures of Voronoi and generalized Voronoi polygons.
J. Appl. Prob., 19A:97-112, 1982.
- 87
-
I. Molchanov.
Statistics of the Boolean Model for Practitioners and
Mathematicians.
J. Wiley & Sons, Chichester, 1997.
- 88
-
J. Møller.
Random Johnson-Mehl tessellations.
Adv. Appl. Prob., 24:814-844, 1992.
- 89
-
J. Møller.
Lectures on Random Voronoi Tessellations. Lect. Notes Statistics
87.
Springer, New York, 1994.
- 90
-
J. Møller.
Generation of Johnson-Mehl crystals and comparative analysis of
models with random nucleation.
Adv. Appl. Prob., 27, 1995.
- 91
-
L. Muche.
Distributional properties of the Poisson-Voronoi tessellation.
Acta Stereologica, 1993:125-130, 1993.
- 92
-
L. Muche.
The Poisson-Voronoi tessellation II - edge length
distribution functions.
Math. Nachr., 178:271-283, 1996.
- 93
-
L. Muche.
The Poisson-Voronoi tessellation III - Miles' formula.
Math. Nachr., 182, 1997.
- 94
-
L. Muche and D. Stoyan.
Contact and chord length distributions of the Poisson Voronoi
tessellation.
J. Appl. Prob., 29:467-471, 1992.
- 95
-
I. Norros.
On the use of fractional Brownian motion in the theory of
connectionless networks.
IEEE J. Select. Areas Commun., 13:953-962, 1995.
- 96
-
J. Ohser.
On estimators for the reduced second-moment measure of point
processes.
Math. Operationsforsch. Statist., Ser. Statistics, 14:63-71,
1983.
- 97
-
A. Okabe, B. Boots, and K. Sugihara.
Spatial Tessellations.
J. Wiley & Sons, New York, 1992.
- 98
-
D.L. Pallant.
A reduced load approximation for cellular mobile networks including
handovers.
A.T.R., 26(2):21-30, 1992.
- 99
-
D.L. Pallant and P.G. Taylor.
Approximation of performance measures in cellular mobile networks
with dynamic channel allocation.
Telecom. Systems, 3:129-163, 1994.
- 100
-
D.L. Pallant and P.G. Taylor.
Modeling handovers in cellular mobile networks with dynamic channel
allocation.
Oper. Res., 43(1):33-42, 1995.
- 101
-
M.P. Quine and D.F. Watson.
Radial simulation of n-dimensional Poisson processes.
J. Appl. Prob., 21:548-557, 1984.
- 102
-
C. Rau.
Series expansion for characteristics of Boolean models.
Master's thesis, Universität Ulm, 1997.
- 103
-
R. Rezaiifar, A.M. Makowski, and S.P. Kumar.
Stochastic control of handoffs in cellular networks.
IEEE J. Select. Areas Commun., 13:1348-1362, 1995.
- 104
-
B.D. Ripley.
Spatial Statistics.
J. Wiley & Sons, New York, 1981.
- 105
-
B.D. Ripley.
Statistics, images and pattern recognition.
Canad. J. Statist., 14:83-102, 1986.
- 106
-
B.D. Ripley.
Statistical Inference for Spatial Processes.
Cambridge University Press, Cambridge, 1988.
- 107
-
T. Rolski, H. Schmidli, V. Schmidt, and J.L. Teugels.
Stochastic Processes for Insurance and Finance.
J. Wiley & Sons, Chichester, 1998.
- 108
-
K. Sakamaki, Takagi H, and C. Rosenberg.
Call blocking probabilities in a cellular mobile communication
system.
In The 2nd International Workshop on Multi-Dimensional Mobile
Communications, pages 380-384, Seoul, Korea, 1996.
- 109
-
S.A. Saltykov.
Stereometrische Metallographie.
Deutscher Verlag für Grundstoffindustrie, Leipzig, 1974.
- 110
-
T.H. Scheike.
Anisotropic growth of Voronoi cells.
Adv. Appl. Prob., 26:43-53, 1994.
- 111
-
M. Schmitt.
Estimation of the density in a stationary boolean model.
J. Appl. Probab., 28:702-708, 1991.
- 112
-
R.F. Serfozo.
Point processes.
In D.P. Heyman and M.J. Sobel, editors, Handbook in Operations
Research and Management Sciences. Vol. 2, pages 1-93, Amsterdam, 1990.
Elsevier/North-Holland.
- 113
-
R.F. Serfozo.
Transformations of Poisson processes: particle systems and
networks.
Preprint, Georgia Institute of Technology, Atlanta, 1995.
- 114
-
D.L. Snyder and M.I. Miller.
Random Point Processes in Time and Space.
Springer, New York, 1991.
- 115
-
M.L. Stein.
A new class of estimators for the reduced secon moment measure of
point processes.
Biometrika, 78(2):281-286, 1991.
- 116
-
M.L. Stein.
Asymptotically optimal estimation for the reduced second moment
measure of point processes.
Biometrika, 80(2):443-449, 1993.
- 117
-
D. Stoyan, W.S. Kendall, and J. Mecke.
Stochastic Geometry and its Applications.
J. Wiley & Sons, Chichester, 1995.
- 118
-
D. Stoyan and H. Stoyan.
Fractals, Random Shapes and Point Fields.
J. Wiley & Sons, Chichester, 1995.
- 119
-
D. Stoyan and H. Stoyan.
Estimating pair correlation functions of planar cluster processes.
Biom. J., 38:259-271, 1996.
- 120
-
P. Tran-Gia and N. Gerlich.
Impact of customer clustering on mobile network performance.
Preprint, Universität Würzburg, 1996.
- 121
-
P. Tran-Gia and M. Mandjes.
Modeling of customer retrial phenomenon in cellular mobile networks.
Preprint, Universität Würzburg, 1996.
- 122
-
M.N.M. van Lieshout and A.J. Baddeley.
A nonparametric measure of spatial interaction in point-patterns.
Statist. Neerland., 50:344-361, 1996.
- 123
-
E.R. Weibel.
Stereological Methods. Vol 2. Theoretical Foundations.
Academic Press, London, 1980.
- 124
-
W. Weil.
Expectation formulas and isoperimetric properties for non-isotropic
Boolean models.
J. Microsc., 151:235-245, 1988.
- 125
-
W. Weil.
The estimation of mean shape and mean particle number in overlapping
particle systems in the plane.
Adv. Appl. Prob., 27:102-119, 1995.
- 126
-
V. Weiss.
Second-order quantities for random tessellations of .
Stochastics & Stoch. Rep., 1995.
- 127
-
D.L. Zimmermann.
On the limiting distribution of and critical values for an
origin-invariant bivariate Cram'er-von Mises-type statistic.
Technical Report 187, University of Iowa, 1990.
- 128
-
D.L. Zimmermann.
A bivariate Cram'er-von Mises type of test for spatial
randomness.
Appl. Statist., 42:43-54, 1993.
- 129
-
S. Zuyev.
Poisson power tesselations.
Technical Report 2303, INRIA, 1994.
- 130
-
S. Zuyev, P. Desnogues, and H. Rakotoarisoa.
Simulations of large telecommunication networks based on
probabilistic modeling.
J. Electronic Imaging, 6(1):68-77, 1997.
Andreas Frey
7/8/1998