Geodesic
The statistical test of the empty cells type
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 1, pp. 101-108 
M. I. Tikhomirova; V. P. Chistyakov. The statistical test of the empty cells type. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 1, pp. 101-108. http://geodesic.mathdoc.fr/item/MVK_2010_1_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Two tests for testing simple hypotheses on a sequence of independent trials with finite number of outcomes are considered. The first test is based on the number of non-appeared tuples consisting of repeated outcome. The second test is based on the number of trials until the appearance of a given number of different tuples of such type. These tests may be used to detect dependencies between observations.

[1] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, M., 1964

[2] Tikhomirova M. I., Chistyakov V. P., “O statisticheskikh kriteriyakh otsutstvuyuschikh $s$-gramm”, Trudy po diskretnoi matematike, 7, FIZMATLIT, M., 1997, 265–278 | MR | Zbl

[3] Tikhomirova M. I., “Predelnye raspredeleniya chisla nepoyavivshikhsya tsepochek odinakovykh iskhodov”, Diskret. matem., 20:3 (2008), 40–46 | MR | Zbl

[4] Tikhomirova M. I., “Asimptoticheskaya normalnost chisla nepoyavivshikhsya nesploshnykh tsepochek iskhodov nezavisimykh ispytanii”, Diskret. matem., 21:2 (2009), 112–125 | MR