Application of the Chauvenet test to detection of overliers in observations, connected in homogeneous Markov chain
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 278-289

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Let $x_1,\dots,x_n$ be random values, connected in homogeneous Markov chain. Asymptotic behavior of the distribution of random value $N$: number of overliers is investigated for unknown parameters $a$ and $\rho$.
@article{ZNSL_1999_260_a19,
     author = {N. M. Khalfina},
     title = {Application of the {Chauvenet} test to detection of overliers in observations, connected in homogeneous {Markov} chain},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {278--289},
     publisher = {mathdoc},
     volume = {260},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a19/}
}
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N. M. Khalfina. Application of the Chauvenet test to detection of overliers in observations, connected in homogeneous Markov chain. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 278-289. http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a19/