ATOMS, BINARY TREES AND DICHOTOMIC NON-MARKOVIAN PROCESSES

Giuseppe Di Biase (Italy) and Raimondo Manca (Italy)

Received October 27, 2005

References:

[1] S. Aki, Distributions of runs and consecutive systems on direct trees, Ann. Inst. Statist. Math. 51 (1999), 1-15. [2] N. Balakrishnan and M. V. Koutras, Runs and Scans with Applications, John Wiley & Sons, New York, 2002. [3] E. Cynlar, Introduction to Stochastic Processes, Prentice-Hall, Englewood Cliffs, New Jersey, 1975. [4] B. de Finetti, Teoria della Probabilità, Einaudi, Torino, English Translation: Theory of Probability, Wiley, New York, 1970. [5] G. Di Biase and R. Manca, Some models for a generalization of the binomial distribution: algorithms and applications, Proc. of Information Processing and Management of Uncertainty in Knowledge-based Systems, B. Bouchon-Meunier, R. Yager, eds., pp. 93-100, Paris La Sorbonne: Editions Medicales et Scientifiques, EDK, 1998. [6] D. E. Knuth, The Art of Computer Programming, Addison Wesley, New York, 1976.

Keywords and phrases: atoms, binary trees, conditional probability, dichotomic models.