Geodesic
Limit distributions of the number of absent chains of identical outcomes
Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 40-46

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We prove the asymptotic normality of the number of absent $s$-chains of identical outcomes in the equiprobable polynomial scheme under the condition that the number of trials $n$ and the number of outcomes $N$ tend to infinity in such a way that $\alpha_N=n/N^s\to\alpha$, $0\le\alpha\infty$, $N\alpha_N^2\to\infty$. 
@article{DM_2008_20_3_a3,
     author = {M. I. Tikhomirova},
     title = {Limit distributions of the number of absent chains of identical outcomes},
     journal = {Diskretnaya Matematika},
     pages = {40--46},
     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2008_20_3_a3/}
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M. I. Tikhomirova. Limit distributions of the number of absent chains of identical outcomes. Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 40-46. http://geodesic.mathdoc.fr/item/DM_2008_20_3_a3/