Geodesic
Computation of distributions of statistics by means of Markov chains
Diskretnaya Matematika, Tome 32 (2020) no. 4, pp. 38-51

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An approach to the construction of efficient algorithms for the exact computation of distributions of statistics by means of the Markov chains is described. The Pearson statistic, the number of empty cells for random allocations of particles, and the Kolmogorov – Smirnov statistic are considered as examples. Possibilities of extending the approach are discussed, in particular to the computation of the joint distributions of statistics.
Keywords: prelimit distributions of statistics, exact computation of distributions, Markov chains, Pearson statistics, number of empty cells, Kolmogorov – Smirnov statistics. 
@article{DM_2020_32_4_a2,
     author = {A. M. Zubkov and M. V. Filina},
     title = {Computation of distributions of statistics by means of {Markov} chains},
     journal = {Diskretnaya Matematika},
     pages = {38--51},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2020_32_4_a2/}
}
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A. M. Zubkov; M. V. Filina. Computation of distributions of statistics by means of Markov chains. Diskretnaya Matematika, Tome 32 (2020) no. 4, pp. 38-51. http://geodesic.mathdoc.fr/item/DM_2020_32_4_a2/