Exact computation of distributions by means of Markov chains
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 114-116.

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The machinery of Markov chains may be used for the exact computation of distributions of some statistics. Numerical results reveal some unexpected differences between exact and asymptotic distributions.
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A. M. Zubkov; M. V. Filina. Exact computation of distributions by means of Markov chains. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 114-116. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a61/

[1] Zubkov A. M., “Rekurrentnye formuly dlya raspredelenii funktsionalov ot diskretnykh sluchainykh velichin”, Obozr. prikl. promyshl. matematiki, 3:4 (1996), 567–573 | Zbl

[2] Zubkov A. M., “Metody rascheta raspredelenii summ sluchainykh velichin”, Trudy po diskretnoi matematike, 5, Fizmatlit, M., 2002, 51–60 | MR

[3] Zubkov A. M., “Vychislenie raspredelenii chisel komponent i tsiklicheskikh tochek sluchainogo otobrazheniya”, Matematicheskie voprosy kriptografii, 1:2 (2011), 5–18

[4] Filina M. V., Zubkov A. M., “Exact computation of Pearson statistics distribution and some experimental results”, Austrian J. Statistics, 37:1 (2008), 129–135

[5] Filina M. V., Zubkov A. M., “Tail properties of Pearson statistics distributions”, Austrian J. Statistics, 40:1–2 (2011), 47–54