Bibliography

Anderson, T. W. (1958). An Introduction to Multivariate Statistical Analysis. New York: Wiley.

Bertrand, J. L. F. (1889). Calcul des Probabilités. Paris: Gauthier-Villars et fils.

Billingsley, P. (1995). Probability and Measure, 3rd ed. New York: Wiley.

Black, F., and M. Scholes (1973). The valuation of options and corporate liability. Journal of Political Economy 81, 637–654.

Bucher, C. G. (1988). Adaptive sampling—An iterative fast Monte Carlo procedure. Structural Safety 5, 119–128.

Chung, K. L. (2000). A Course in Probability Theory Revised, 2nd ed. New York: Academic Press.

Corporation, R. (2001). A Million Random Digits with 100,000 Normal Deviates. American Book Publishers. Reprint.

de Lagrange, J. L. (1770). Réflexions sur la résolution algébrique des équations. Nouveaux mémoires de l'Académie royale des sciences et belles-lettres de Berlin, années 1770 et 1771 3, 205–421.

Fisher, R. A. (1925). Applications of “Student's” distribution. Metron 5, 90–104.

Grimmett, G., and D. Stirzaker (2001). Probability and Random Processes, 3rd ed. New York: Oxford University Press.

445 Grinstead, C. M., and J. L. Snell (1997). Introduction to Probability, second revised edition. Providence, RI: AMS. p. 510.

Kenney, J. F. (1942). Characteristic functions in statistics. Nat. Math. Mag. 17(2), pp. 51–67.

Khintchine, A. Y. and P. Lévy (1936). Sur les lois stables. C. R. Acad. Sci. Paris 202, 374–376.

Kolmogoroff, A. N. (1973). Grundbegriffe der Wahrscheinlichkeitsrechnung. Berlin: Springer.

Koponen, I. (1995). Analytic approach to the problem of convergence of truncated lévy flights towards the gaussian stochastic process. Phys. Rev. E 52(1), 1197–1199.

Laplace, P.-S. (1812). Théorie analytique des probabilités, Vol. 7. Oeuvres complétes.

Laplace, P.-S. (1886). Théorie analytique des probabilités. In Œuvres complétes de Laplace, 3rd ed. Paris: Gauthier-Villars.

Lévy, P. (1925). Calcul des probabilités. Paris: Gauthier-Villars.

Mantegna, R. N., and H. E. Stanley (1994). Stochastic process with ultraslow convergence to a gaussian: The truncated lévy flight. Phys. Rev. Lett. 73, 2946–2949.

Marsaglia, G., and W. W. Tsang (2000). The ziggurat method for generating random variables. J. Stat. Software 5, 1–7.

Press, W., S. Teukolsky, W. Vetterling, and B. Flannery (2007). Numerical recipes. In The Art of Scientific Computing, 3rd ed. New York: Cambridge University Press.

Roy, R. (2011). Sources in the Development of Mathematics: Infinite Series and Products from the Fifteenth to the Twenty-first Century. New York: Cambridge University Press.

Royden, H. (1988). Real Analysis, 3rd ed. Englewood Cliffs, NJ: Prentice Hall.

Rubin, D. B. Using the SIR algorithm to simulate posterior distributions. Bayesian Statistics , 3, 395–402.

Rubin, H., and B. C. Johnson (2006). Efficient generation of exponential and normal deviates. J. Stat. Comput. Simulation 76(6), 509–518.

Samorodnitsky, G., and M. S. Taqqu (1994). Stable non-Gaussian Random Processes: Stochastic Models with Infinite Variance. New York: Chapman and Hall.

Student (1908). The probable error of a mean. Biometrika 6(1), 1–25.

Todhunter, I. (1865). A History of the Mathematical Theory of Probability. Cambridge-London.

Wheeden, R. L., and A. Zygmund (1977). Measure and Integral: An Introduction to Real Analysis. New York: Marcel Dekker.

Whiteley, N., and A. Johansen (2011). Recent developments inauxiliary particle filtering. In D. Barber, A. Cemgil, and S. Chiappa (eds.), Chapter 3, Inference and Learning in Dynamic Models. New York: Cambridge University Press, pp. 52–58.

Wichura, M. J. (1988). Algorithm as 241: The percentage points of the normal distribution. J. Roy. Stat. Soc. Ser. C (Appl. Stat.) 37(3), 477–484.

Wild, C. J. and G. A. F. Seber (1999). Chance Encounters: A First Course in Data Analysis and Inference. New York: Wiley.