Download this PDF file Fullscreen Fullscreen Off
References
- Albert, Réka; Barabási, Albert-László. Statistical mechanics of complex networks. Rev. Modern Phys. 74 (2002), no. 1, 47--97. MR1895096
- Aldous, David J.; Bandyopadhyay, Antar. A survey of max-type recursive distributional equations. Ann. Appl. Probab. 15 (2005), no. 2, 1047--1110. MR2134098
- Bingham, N. H.; Goldie, C. M.; Teugels, J. L. Regular variation. Encyclopedia of Mathematics and its Applications, 27. Cambridge University Press, Cambridge, 1989. xx+494 pp. ISBN: 0-521-37943-1 MR1015093
- Bollobás, Béla; Riordan, Oliver M. Mathematical results on scale-free random graphs. Handbook of graphs and networks, 1--34, Wiley-VCH, Weinheim, 2003. MR2016117
- Durrett, Richard; Liggett, Thomas M. Fixed points of the smoothing transformation. Z. Wahrsch. Verw. Gebiete 64 (1983), no. 3, 275--301. MR0716487
- Feller, William. An introduction to probability theory and its applications. Vol. II. Second edition John Wiley & Sons, Inc., New York-London-Sydney 1971 xxiv+669 pp. MR0270403
- Grimmett, Geoffrey. Percolation. Springer-Verlag, New York, 1989. xii+296 pp. ISBN: 0-387-96843-1 MR0995460
- Hagerup, Torben; Rüb, Christine. A guided tour of Chernoff bounds. Inform. Process. Lett. 33 (1990), no. 6, 305--308. MR1045520
- Kallenberg, Olav. Random measures. Third edition. Akademie-Verlag, Berlin; Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1983. 187 pp. ISBN: 0-12-394960-2 MR0818219
- Kallenberg, Olav. Foundations of modern probability. Second edition. Probability and its Applications (New York). Springer-Verlag, New York, 2002. xx+638 pp. ISBN: 0-387-95313-2 MR1876169
- Kaluza, Th. Über die Koeffizienten reziproker Potenzreihen. (German) Math. Z. 28 (1928), no. 1, 161--170. MR1544949
- N. Krishnaji. Characterization of the Pareto distributions through a model of underreported incomes. Econometrica, 38(2):251--255, 1970.
- Liggett, Thomas M. Total positivity and renewal theory. Probability, statistics, and mathematics, 141--162, Academic Press, Boston, MA, 1989. MR1031283
- Patil, G. P.; Ratnaparkhi, M. V. On additive and multiplicative damage models and the characterizations of linear and logarithmic exponential families. Canad. J. Statist. 7 (1979), no. 1, 61--64. MR0549794
- Sato, Ken-iti. Lévy processes and infinitely divisible distributions. Translated from the 1990 Japanese original. Revised by the author. Cambridge Studies in Advanced Mathematics, 68. Cambridge University Press, Cambridge, 1999. xii+486 pp. ISBN: 0-521-55302-4 MR1739520
- Shanbhag, D. N. On renewal sequences. Bull. London Math. Soc. 9 (1977), no. 1, 79--80. MR0428497
- Steutel, F. W. Preservation of infinite divisibility under mixing and related topics. Mathematical Centre Tracts, 33 Mathematisch Centrum, Amsterdam 1970 v+99 pp. MR0278355
- Warde, W. D.; Katti, S. K. Infinite divisibility of discrete distributions. II. Ann. Math. Statist. 42 (1971), 1088--1090. MR0293691

This work is licensed under a Creative Commons Attribution 3.0 License.