Keywords: waiting time, occupied cells, distribution density.
@article{DM_2019_31_2_a10,
author = {B. I. Selivanov and V. P. Chistyakov},
title = {On the waiting times to repeated hits of cells by particles for the polynomial allocation scheme},
journal = {Diskretnaya Matematika},
pages = {143--151},
year = {2019},
volume = {31},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2019_31_2_a10/}
}
TY - JOUR AU - B. I. Selivanov AU - V. P. Chistyakov TI - On the waiting times to repeated hits of cells by particles for the polynomial allocation scheme JO - Diskretnaya Matematika PY - 2019 SP - 143 EP - 151 VL - 31 IS - 2 UR - http://geodesic.mathdoc.fr/item/DM_2019_31_2_a10/ LA - ru ID - DM_2019_31_2_a10 ER -
B. I. Selivanov; V. P. Chistyakov. On the waiting times to repeated hits of cells by particles for the polynomial allocation scheme. Diskretnaya Matematika, Tome 31 (2019) no. 2, pp. 143-151. http://geodesic.mathdoc.fr/item/DM_2019_31_2_a10/
[1] Feller W., An introduction to probability theory and its applications, v. 1, 2nd ed., Wiley, New York, 1957, 461 pp. | MR | MR | Zbl
[2] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Random allocations, V. H. Winston Sons, Washington, 1978, 262 pp. | MR | MR | Zbl
[3] Ivchenko G. I., “The waiting time and related statistics in the multinomial scheme: a survey”, Discrete Math. Appl., 3:5 (1993), 451–482 | DOI | MR | MR | Zbl
[4] Selivanov B. I., “On waiting time in the scheme of random allocation of coloured particies”, Discrete Math. Appl., 5:1 (1995), 73–82 | DOI | MR | Zbl
[5] Dwass M., “More birthday surprises”, J. of Combin. Theory, 7 (1969), 258–261 | DOI | MR | Zbl
[6] James B., James K., Qi Y.-C., “Limit theorems for correlated Bernoulli random variables”, Statist. Probab. Letters, 78:15 (2008), 2339–2345 | DOI | MR | Zbl
[7] Dwight H. B., Tables of Integrals and Other Mathematical Data, 3rd Ed., The Macmillan Co: New York and London, 1957, 288 pp. | MR | Zbl