Abstract
This chapter presents some basic definitions on probability and stochastic processes that will be used later, mainly in Chapter 10. Among the numerous excellent textbooks on this field, the reader is referred to the works by (Dekking et al 2005), by (Grinstead and Snell 1997) and by (Resnick 1999).
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References
A. Baddeley. Spatial point processes and their application. In W. Weil, editor, Stochastic Geometry, volume 1892 of Lecture Notes in Mathematics, pages 1–75. Springer, Belin, 2006.
A. Baddeley and R. Turner. spatstat: An R package for analyzing spatial point patterns. Journal of Statistical Software, 12(6):1–42, 2005.
G. J. F. Banon. Distinction between several subsets of fuzzy measures. Fuzzy Sets and Systems, 5(3):291–305, May 1981.
T. R. Bayes. An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society, 53:370–418, 1763.
K. K. Berthelsen and J. Möller. A primer on perfect simulation for spatial point processes. Bulletin of the Brazilian Mathematical Society, 33(3):351–367, 2002.
F. M. Dekking, C. Kraaikamp, H. P. Lopuhaā, and L. E. Meester. A Modern Introduction to Probability and Statistics: Understanding Why and How. Springer, 2005.
C. M. Grinstead and J. L. Snell. Introduction to Probability. American Mathematical Society, 2 edition, 1997.
S. Karlin and H. M. Taylor. A First Course in Stochastic Processes. Academic, New York, 1975.
N. L. Johnson and S. Kotz. Distributions in Statistics: Continuous Multivariate Distributions. Wiley, New York, 1972.
N. L. Johnson, S. Kotz, and N. Balakrishnan. Continuous Univariate Distributions, volume 1 of Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, New York, 2 edition, 1994.
N. L. Johnson, S. Kotz, and A. W. Kemp. Univariate Discrete Distributions. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, New York, 2 edition, 1993.
F. P. Kelly and B. D. Ripley. On Strauss’s model for clustering. Biometrika, 63:357–360, 1975.
S. Resnick. A Probability Path. Birkhäuser, Boston, 1999.
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Velho, L., Frery, A., Gomes, J. (2009). Random Processes. In: Image Processing for Computer Graphics and Vision. Texts in Computer Science. Springer, London. https://doi.org/10.1007/978-1-84800-193-0_3
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