Savelov M P

Publications in Math-Net.Ru

1. Asymptotic independence of statistics of tests of the NIST package and their generalizations
   
   Diskr. Mat., 37:1 (2025),  76–111
2. The limit joint distributions of statistics of tests of the NIST package and their generalizations
   
   Diskr. Mat., 36:2 (2024),  71–116
3. Power of the test based on joint application of «Monobit Test», «Frequency Test within a Block» and a generalization of «Approximate Entropy Test»
   
   Diskr. Mat., 36:1 (2024),  67–102
4. Analogue of the Neyman–Pearson lemma for several simple hypotheses
   
   Teor. Veroyatnost. i Primenen., 69:3 (2024),  496–510
5. Two-sided estimates for the sum of probabilities of errors in the multiple hypotheses testing problem with finite number of hypotheses about a nonhomogeneous sample
   
   Teor. Veroyatnost. i Primenen., 69:2 (2024),  405–416
6. Power of the test based on joint application of «Monobit Test», «Frequency Test within a Block» and «Serial Test»
   
   Diskr. Mat., 35:4 (2023),  79–114
7. Limit joint distribution of «Approximate $\phi$-entropy test» statistics
   
   Diskr. Mat., 35:3 (2023),  60–70
8. Limit joint distribution of «Monobit test», «Frequency Test within a Block», and «Approximate Entropy Test» Statistics
   
   Diskr. Mat., 35:2 (2023),  93–108
9. Limit joint distribution of «Monobit test», «Frequency Test within a Block», and «Serial Test» Statistics
   
   Diskr. Mat., 35:1 (2023),  88–106
10. On a Functional of the Number of Nonoverlapping Chains Appearing in the Polynomial Scheme and Its Connection with Entropy
    
    Mat. Zametki, 114:3 (2023),  390–403
11. Limit joint distribution of $U$-statistics, $M$-estimates, and sample quantiles
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6,  9–16
12. Limit Joint Distribution of «Monobit test», «Frequency Test within a Block», and «Binary Matrix Rank Test» Statistics
    
    Diskr. Mat., 34:4 (2022),  84–98
13. Limit joint distribution of the statistics of «Monobit test», «Frequency Test within a Block» and «Test for the Longest Run of Ones in a Block»
    
    Diskr. Mat., 34:3 (2022),  70–84
14. Limit theorem for a smoothed version of the spectral test for testing the equiprobability of a binary sequence
    
    Diskr. Mat., 33:4 (2021),  132–140
15. The limit joint distributions of statistics of three tests of the NIST package
    
    Diskr. Mat., 33:3 (2021),  92–106
16. The limit joint distributions of statistics of four tests of the NIST package
    
    Diskr. Mat., 33:2 (2021),  141–154
17. Group service system with three queues and load balancing
    
    Diskr. Mat., 32:4 (2020),  103–119
18. A family of asymptotically independent statistics in polynomial scheme containing the Pearson statistic
    
    Diskr. Mat., 32:3 (2020),  76–84
19. Two-stage chi-square test and two-dimensional distributions of a Bessel process
    
    Teor. Veroyatnost. i Primenen., 65:4 (2020),  841–850
20. Gittins index for simple family of Markov bandit processes with switching cost and no discounting
    
    Teor. Veroyatnost. i Primenen., 64:3 (2019),  442–455
21. Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme
    
    Diskr. Mat., 29:4 (2017),  121–129
22. Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process
    
    Diskr. Mat., 28:3 (2016),  49–58
23. Extremal characteristics of tests for multiple hypotheses with given mutual total variation distances
    
    Teor. Veroyatnost. i Primenen., 61:3 (2016),  439–463