Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein
Statistique et analyse des données, Tome 16 (1991) no. 3, pp. 183-201. 
@article{SAD_1991__16_3_183_0,
     author = {Simonot, Fran\c{c}ois},
     title = {Analyse de la stabilit\'e de syst\`emes de stockage par la m\'etrique de {Wasserstein}},
     journal = {Statistique et analyse des donn\'ees},
     pages = {183--201},
     publisher = {Association pour la statistique et ses illustrations},
     volume = {16},
     number = {3},
     year = {1991},
     mrnumber = {1209844},
     language = {fr},
     url = {http://www.numdam.org/item/SAD_1991__16_3_183_0/}
}
TY  - JOUR
AU  - Simonot, François
TI  - Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein
JO  - Statistique et analyse des données
PY  - 1991
SP  - 183
EP  - 201
VL  - 16
IS  - 3
PB  - Association pour la statistique et ses illustrations
UR  - http://www.numdam.org/item/SAD_1991__16_3_183_0/
LA  - fr
ID  - SAD_1991__16_3_183_0
ER  - 
%0 Journal Article
%A Simonot, François
%T Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein
%J Statistique et analyse des données
%D 1991
%P 183-201
%V 16
%N 3
%I Association pour la statistique et ses illustrations
%U http://www.numdam.org/item/SAD_1991__16_3_183_0/
%G fr
%F SAD_1991__16_3_183_0
Simonot, François. Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein. Statistique et analyse des données, Tome 16 (1991) no. 3, pp. 183-201. http://www.numdam.org/item/SAD_1991__16_3_183_0/

Bhat, U. N. Elements of applied stochastic Processes, J. Wiley, 2nd Ed, 1984. | MR | Zbl

Borovkov, A. A. Stochastic Processes in queueing Theory, Springer Verlag, 1976. | MR | Zbl

Chow, Y.S & Teicher, H. Probability Theory, Springer Verlag, 1988. | MR | Zbl

Greenwood, P. E. & Hooghiemstra, G. An extreme type limit law for a storage process. Math. of Op. Research, Vol 13, n° 2, pp. 232 - 242, 1988. | MR | Zbl

Hasslet, J. New bounds for the thermal energy storage process with stationary input. J. Appl. Prob, 19, pp. 894 - 899, 1982. | MR | Zbl

Hasslet, J. Problems in the stochastic storage of solar thermal energy. In Analysis and Optimization of Stochastic Systems, ed O.L.R. JACOBS et al, Academic Press, 1980.

Hayes, J. F. Modeling and Analysis of Computer Communication Networks, Plenum Pub. Co, 1986.

Hooghiemstra, G & Keane, M. Calculation of the equilibrium distribution for a solar energy storage model. J. Appl. Prob, 22, pp. 852 - 864, 1985. | MR | Zbl

Hooghiemstra, G & Scheffer, C. L. Some limit theorems for an energy storage model. Stoch. Proc. and Appl, 22, pp. 121 - 127, 1986. | MR | Zbl

Kalashnikov, V. V. Estimations of convergence rates and stability for regenerative and renovative processes, in Colloquia mathematica societatis Janos Bolyai, 24. Point processes and queueing problems, Keszthely (Hungary), pp. 163-180, 1978. | MR | Zbl

Kalashnikov, V. V. & Tsitsiashvili, G. S. On the stability of queueing systems with respect to disturbances of their distribution functions, Engrg Cybernet, 10, pp. 211-217, 1972. | MR

Kantorovitch, L. V. & Akilov, G. P. Functional Analysis, Pergamon Press, 2n d edition, 1982.

Karr, A. F. Weak convergence of a sequence of Markov chains, Zeit für Wahrsch verw Geb, 33 , pp 41-48, 1975. | MR | Zbl

Métivier, M. Notions fondamentales de la théorie des probabilités, Dunod, 1968. | Zbl

Pollard, D. Convergence of stochastic Processes, Springer Verlag, 1984. | MR | Zbl

Vallander, S. S. Calculation of the Wasserstein distance between probability distributions on the line, Theory Prob Applications, 18 , pp. 784-786, 1973. | MR | Zbl

Whitt, W. The continuity of queues, Adv. appl. Prob, 6, pp.175-183, 1974. | MR | Zbl

Zolotarev, V. M. Qualitative estimates in problems of continuity of queueing systems. Theory Prob. Applications, 20, pp. 211-213, 1975 a. | MR | Zbl

Zolotarev, V. M, On the continuity of stochastic sequences generated by recurrent processes, Theory Prob. Applications, 20, pp.819-832, 1975 b. | MR | Zbl

Zolotarev, V. M, Probability Metrics, Theory Prob. Applications, 28, pp. 278-302, 1983. | MR | Zbl