Minimal cyclic random motion in R n and hyper-Bessel functions

A. Lachal; S. Leorato; E. Orsingher

Annales de l'I.H.P. Probabilités et statistiques (2006)

  • Volume: 42, Issue: 6, page 753-772
  • ISSN: 0246-0203

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Lachal, A., Leorato, S., and Orsingher, E.. "Minimal cyclic random motion in ${R}^{n}$ and hyper-Bessel functions." Annales de l'I.H.P. Probabilités et statistiques 42.6 (2006): 753-772. <http://eudml.org/doc/77918>.

@article{Lachal2006,
author = {Lachal, A., Leorato, S., Orsingher, E.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {th order partial differential equations; order statistics; hyperpolyhedron},
language = {eng},
number = {6},
pages = {753-772},
publisher = {Elsevier},
title = {Minimal cyclic random motion in $\{R\}^\{n\}$ and hyper-Bessel functions},
url = {http://eudml.org/doc/77918},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Lachal, A.
AU - Leorato, S.
AU - Orsingher, E.
TI - Minimal cyclic random motion in ${R}^{n}$ and hyper-Bessel functions
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2006
PB - Elsevier
VL - 42
IS - 6
SP - 753
EP - 772
LA - eng
KW - th order partial differential equations; order statistics; hyperpolyhedron
UR - http://eudml.org/doc/77918
ER -

References

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  1. [1] A. Di Crescenzo, Exact transient analysis of a planar motion with three directions, Stochastics Stochastics Rep.72 (3–4) (2002) 175-189. Zbl0997.60058MR1897914
  2. [2] V. Kiryakova, Generalized Fractional Calculus and Applications, Pitman Res. Notes in Math. Ser., vol. 301, Longman Scientific & Technical, Harlow, 1994, (copublished in the United States with John Wiley & Sons, Inc., New York). Zbl0882.26003MR1265940
  3. [3] A.D. Kolesnik, Equations of Markov random evolutions, Doctoral thesis, University of Kiev, 1991 (in Russian). 
  4. [4] S. Leorato, E. Orsingher, Bose–Einstein-type statistics, order statistics and planar random motions with three directions, Adv. Appl. Probab.36 (3) (2004) 937-970. Zbl1066.60098MR2079922
  5. [5] S. Leorato, E. Orsingher, M. Scavino, An alternating motion with stops and the related planar, cyclic motion with four directions, Adv. Appl. Probab.35 (4) (2003) 1153-1168. Zbl1049.60094MR2014274
  6. [6] E. Orsingher, Bessel functions of third order and the distribution of cyclic planar motions with three directions, Stochastics Stochastics Rep.74 (3–4) (2002) 617-631. Zbl1015.60040MR1943582
  7. [7] E. Orsingher, A.M. Sommella, A cyclic random motion in R 3 with four directions and finite velocity, Stochastics Stochastics Rep.76 (2) (2004) 113-133. Zbl1048.60084MR2060347
  8. [8] I.V. Samoilenko, Markovian random evolutions in R n , Random Oper. Stochastic Equations9 (2) (2001) 139-160. Zbl0976.60074MR1832161
  9. [9] I.V. Samoilenko, Analytical theory of Markov random evolutions in R n , Doctoral thesis, University of Kiev, 2001 (in Russian). 
  10. [10] A.F. Turbin, D.Ya. Plotkin, Higher-order Bessel equation and functions, in: Asymptotic Methods in Problems in the Theory of Random Evolutions, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1991, pp. 112-121, (in Russian). MR1190488

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