Bose-Einstein-type statistics, order statistics and planar random motions with three directions

Advances in Applied Probability

Volumn 36, Issue 3, 2004, Pages 937-970

  Leorato, S ^a   Orsingher, E ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bessel function; Beta distribution; Bose Einstein statistics; Gamma function; Hyperbolic equation; Multinomial distribution; Order statistics; Planar random motion; Telegraph process

Indexed keywords

BESSEL FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; POISSON DISTRIBUTION; PROBABILITY; STATISTICS; THEOREM PROVING;

BETA DISTRIBUTION; BOSE-EINSTEIN STATISTICS; GAMMA FUNCTION; HYPERBOLIC EQUATION; MULTINOMIAL DISTRIBUTION; ORDER STATISTICS; PLANAR RANDOM MOTION; TELEGRAPH PROCESS;

RANDOM PROCESSES;

EID: 7444266385     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1093962242     Document Type: Article

References (16)

1. Beghin, L., Nieddu, L. and Orsingher, E. (2001). Probabilistic analysis of the telegrapher's process with drift by means of relativistic transformations. J. Appl. Math. Stoch. Anal. 14, 11-25.
2. Bizley, M. T. L. (1970). A generalization of Nanjundiah's identity. Amer. Math. Monthly 77, 863-865.
3. David, H. A. and Nagaraja, H. N. (2003). Order Statistics, 3rd edn. John Wiley, Hoboken, NJ.
4. Di Crescenzo, A. (2002). Exact transient analysis of a planar motion with three directions. Stoch. Stoch. Reports 72, 175-189.
5. Foong, S. K. (1997). Functional integration and wave propagation. In Functional Integration (Cargèse, 1996; NATO Adv. Sci. Inst. Ser. B Phys. 361), Plenum, New York, pp. 97-130.
6. Johnson, N. L. and Kotz, S. (1977). Urn Models and Their Application. John Wiley, New York.
7. Kolesnik, A. D. (1991). Markov equations of random evolutions. Doctoral Thesis, University of Kiev (in Russian).
8. Kolesnik, A. D. and Orsingher, E. (2001). Analysis of a two-dimensional random walk with finite velocity and reflection. Teor. Veroyat. i Primen. 46, 138-147 (in Russian). English translation: Theory Prob. Appl. 46 (2002), 132-140.
9. Leorato, S., Orsingher, E. and Scavino, M. (2003). An alternating motion with stops and the related planar, cyclic motion with four directions. Adv. Appl. Prob. 35, 1153-1168.
10. Orsingher, E. (2000). Exact joint distribution in a model of planar random motion. Stoch. Stoch. Reports 69, 1-10.
11. Orsingher, E. (2002). Bessel functions of third order and the distribution of cyclic planar motions with three directions. Stoch. Stoch. Reports 74, 617-631.
12. Orsingner, E. and Ratanov, N. (2002). Planar random motions with drift. J. Appl. Math. Stoch. Anal. 15, 205-221.
13. Orsingher. E. and San Martini, A. (1995). Planar random evolution with three directions. In Exploring Stochastic Laws, VSP, Utrecht, pp. 357-366.
14. Pinsky, M. A. (1991). Lectures on Random Evolution. World Scientific, River Edge. NJ.
15. n. Doctoral Thesis. University of Kiev (in Russian).
16. n. Random Operators Stoch. Equat. 9, 139-160.