A treatise of randomness tested also in marine accidents

Disaster Prevention and Management: An International Journal

Volumn 13, Issue 3, 2004, Pages 208-217

  Goulielmos, Alexandros M ^a  

^a UNIVERSITY OF PIRAEUS   (Greece)

Author keywords

Marine accidents; Random functions; Statistics

Indexed keywords

EID: 25844528264     PISSN: 09653562     EISSN: None     Source Type: Journal    
DOI: 10.1108/09653560410541803     Document Type: Article

References (38)

1. Bollerslev, T. (1986), "Generalised autoregressive conditional heteroscedasticity", Journal of Econometrics, Vol. 3, pp. 307-27.
2. Bouchaud, J.P. and Potters, M. (2000), Theory of Financial Risks: From Statistical Physics to Risk Management, Cambridge University Press, New York, NY.
3. Brock, W., Dechert, W. and Schinkman, J. (1987), "A test for independence based on the correlation dimension", University of Wisconsin, Madison, WI, University of Houston, Houston, TX and Chicago, IL.
4. Brock, W.A., Hsieh, D.A. and LeBaron, B. (1991), Non-linear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence, The MIT Press, Cambridge, MA.
5. Brockwell, P.J. and Davis, R.A. (1996), Introduction to Time Series and Forecasting, Springer, New York, NY.
6. Cohen, J. and Stewart, I. (1994), The Collapse of Chaos: Discovering Simplicity in a Complex World, Penguin, Harmondsworth.
7. Cramer, H. (1946), Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, p. 279.
8. DeFinetti, B. (1970), Theory of Probability, Wiley, New York, NY.
9. Engle, R. (1982), "Autoregressive conditional heteroscedasticity with estimates of the variance of UK inflations", Econometrica, Vol. 50, pp. 987-1007.
10. Fama, E.F. (1965), "The behaviour of stock market prices", The Journal of Business, Vol. 8 No. 1, pp. 34-105.
11. Fama, E.F. (1970), "Efficient capital markets: a review of theory and empirical work", Journal of Finance, Vol. 25, pp. 383-417.
12. Ford, J. (1983), "How random is a coin toss?", Physics Today, April, pp. 40-7.
13. Franses, P.H. and Van Dijk, D. (2000), Non-linear Time Series Models in Empirical Finance, Cambridge University Press, New York, NY.
14. Gell-Mann, M. (1995), The Quark and the Jaguar: Adventures in the Simple and the Complex, Abacus, London.
15. Gleick, J. (1987), Chaos: Making a New Science, Cardinal, London.
16. Gnedenko, B.V. and Kolmogorof, A.N. (1954), Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Cambridge, MA.
17. Goulielmos, A.M. and Giziakis, C.V. (2002), "Marine accident prevention: an evaluation of the ISM code by the fundamentals of the complexity theory", Disaster Prevention and Management: An International Journal, Vol. 11 No. 1, pp. 18-32.
18. Goulielmos, A.M., Giziakis, C. and Pasarzis, M. (2002), "Should marine insurance companies take seriously chaos theory?", Disaster Prevention and Management, An International Journal, Vol. 11 No. 4, pp. 312-19.
19. Grange, C. and Andersen, A. (1978), An Introduction to Bilinear Time Series Models, Vandenhoeck and Ruprecht, Göttingen.
20. Jeans, Sir J. (1981), Physics and Philosophy, (originally published in 1943), Dover Publications, New York, NY.
21. Kac, M. (1983), "Marginalia, what is random?", American Scientist, Vol. 71, pp. 405-6.
22. Mandelbrot, B. (1963), "The variation of certain speculative prices", Journal of Business, Vol. 36, pp. 392-417.
23. Mandelbrot, B.B. (1997), Fractals and Scaling in Finance: Discontinuity, Concentration, Risk, Springer, New York, NY.
24. Monod, J. (1971), Chance and Necessity, Knopf, New York, NY.
25. Nicolis, J.S. (1991), "Chaotic dynamics: a par excellence useful science", Chemical Chronicles, Vol. 53, June, p. 164, (in Greek).
26. Opong, K.K., Mulholland, G., Fox, A.F. and Farahmand, K. (1999), "The behaviour of some UK equity indices: an application of Hurst and BDS tests", Journal of Empirical Finance, Vol. 5, pp. 267-82.
27. Peat, F.D. and Briggs, J. (2001), Seven Life Lessons of Chaos: Timeless Wisdom from the Science of Change, (translated into Greek, 2001), HarperCollins, New York, NY.
28. Peters, E.E. (1994), Fractal Markets Analysis: Applying Chaos Theory to Investment and Economics, Wiley, New York, NY.
29. Peters, E.E. (1996), Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Stability, Wiley, New York, NY.
30. Peters, E.E. (1999), Complexity, Risk, and Financial Markets, Wiley, New York, NY.
31. Poincaré, H. (1912), Calcul des Probabilities, 2nd ed., Gauthiers-Villars, Paris.
32. Popper, K.R. (1988), The Open Universe: An Argument for Indeterminism, (originally published in 1982), Routledge, London.
33. Ruelle, D. (1991), Chance and Chaos, (Greek translation), Princeton University Press, Princeton, NJ.
34. Sakai, H. and Tokumaru, H. (1980), "Autocorrelations of a certain chaos", IEEE Transactions, Vol. 1, pp. 588-90.
35. Stewart, I. (2001), What Shape Is a Snowflake? Magical Numbers in Nature, (Greek translation, 2003), Weidenfeld and Nicolson, London.
36. Wegman, E.J. (1988), "On randomness, determinism and computability", Journal of Statistical Planning & Inference, Vol. 20, pp. 279-94.
37. Williams, G.P. (1997), Chaos Theory Tamed, Joseph Henry Press, Washington, DC, available at: www.naap.edu
38. Young, H.D., Freedman, R.A., Sandin, T.R. and Ford, A.L. (2000), Sears and Zemansky's University Physics with Modern Physics, 10th ed., Addison-Wesley, Reading, MA.