Lois de Zipf et sources markoviennes
Annales de l'I.H.P. Probabilités et statistiques, Volume 14 (1978) no. 2, p. 169-188
@article{AIHPB_1978__14_2_169_0,
     author = {Rouault, Alain},
     title = {Lois de Zipf et sources markoviennes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     publisher = {Gauthier-Villars},
     volume = {14},
     number = {2},
     year = {1978},
     pages = {169-188},
     zbl = {0404.60072},
     mrnumber = {507732},
     language = {fr},
     url = {http://www.numdam.org/item/AIHPB_1978__14_2_169_0}
}
Rouault, Alain. Lois de Zipf et sources markoviennes. Annales de l'I.H.P. Probabilités et statistiques, Volume 14 (1978) no. 2, pp. 169-188. http://www.numdam.org/item/AIHPB_1978__14_2_169_0/

[1] K.B. Athreya, P.E. Ney, Branching processes, Springer-Verlag, 1972. | MR 373040 | Zbl 0259.60002

[2] B. Brainerd, On the relation between types and tokens in a litterary text. J. Appl. Prob., t. 9, 1972, p. 507-518. | MR 353502 | Zbl 0239.62064

[3] B.M. Hill, The rank-frequency form of Zipf's law. J. Amer. Stat. Assoc., vol. 69, no. 348, 1974, p. 1017-1026. | MR 426242 | Zbl 0301.60011

[4] Hill-Woodroofe stronger forms of Zipf's law. J. Amer. Stat. Assoc., vol. 70, no. 349, 1975, p. 212-219. | MR 440763 | Zbl 0326.92014

[5] B.M. Hill, M. Woodroofe, On Zipf's law. J. of Appl. Prob., t. 12, 1975, p. 425-434. | MR 440764 | Zbl 0343.60012

[6] S. Karlin, Central limit theorems for certain infinite urn schemes. J. of Math. and Mech., vol. 17, no 4, 1967, p. 373-401. | MR 216548 | Zbl 0154.43701

[7] B. Mandelbrot, On the theory of word frequencies and on related markovian models of discourse. Symposium an Applied Mathem., vol. XII, 1962.

[8] D.N. Mcneil, Estimating an author's vocabulary. J. of Amer. Stat. Assoc., vol. 68, no. 341, 1973, p. 92-96. | MR 373124

[9] C.J. Mode, Multitype branching processes. American Elsevier, New York, 1971. | MR 279901 | Zbl 0219.60061

[10] S.S. Wilks, Mathematical Statistics. Wiley, New York, London, 1962. | MR 144404 | Zbl 0173.45805