2019 |
Martynov G., G. V. Martynov. Notes on the Cram´er–vonMises test with estimated parameters.
Theory of Probability & Its Applications2019, Vol. 64, No. 1, p. 148. (In " Society for Industrial and Applied Mathematics,
Abstracts of Talks Given at the 3rd International Conference on Stochastic Methods) (Translated from Russian)
DOI. 10.1137/S0040585X97T989428
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2017 |
Martynov G., 2018 year. G. V. Martynov. Goodness test for the Gaussianity conjecture of a random process. Theory of Probability & Its Applications, Vol. 62, No. 4, pp. 655--656, (In "Society for Industrial and Applied Mathematics" 2018, pp. 640–674) DOI.10.1137/S0040585X97T988861
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2016 |
Martynov G., Martynov G. Anderson-Darling statistic and its “inverse” // Journal of Communications Technology and Electronics. 2016. Vol. 61. No. 6. P. 709-716.
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2015 |
Martynov G., Martynov G. A Cramer-von Mises test for Gaussian processes, in: Mathematical Statistics and Limit Theorems, Festschrift in honor of Paul Deheuvels. Springer Verlag, 2015, p 209-229
doi 10.1007/978-3-319-12442-1
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2014 |
Martynov G., Martynov G. Durbin–Knott Components and Transformations of the Cramer-von Mises Test, in: Statistical models and methods for reliability and survival analysis. In honor of M.S. Nikulin. Ch. 8. L. : ISTE, Wiley, 2014, 111-123. https://doi.org/10.1002/9781118826805.ch8
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2013 |
Martynov G., Martynov G. V. (2013) Martynov G. V. Cramér–von Mises test for Gauss processes. Advanced Finance and Statistics. (International Conference “Advanced Finance and Stochastics” was held on June
24–28, 2013 at Steklov Mathematical Institute in Moscow, Russia.) pp. 65-66
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2011 |
Martynov G., Martynov G. Cramér-von-Mises test for and Durbin-Knott components. Conference on Stochastic Models and Their Applications, 22-24 August, 2011, Faculty of Informatics, University Debrecen, Debrecen, Hungary, 2011, P. 50
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2010 |
Martynov G., Gennadi Martynov. Multivariate version of the Cramer-von Mises statistics. 2010. Abstracts of “Workshop in Probability Theory and Mathematical Statistics, 30 Nov.-1 Dec. 2010”, Wellington, Wellington University, New Zealand 1 p
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Martynov G., G. V. Martynov, “Multivariable goodness tests and approximation of the residues of quadratic forms”, Autom. Remote Control, 71:7 (2010), 1346–1357 (isi scopus) .............................. ....... ........ ........ ........ ........ ......... ....... ....
https://link.springer.com/content/pdf/10.1134%2FS0005117910070088.pdf http://iitp.ru/https://link.springer.com/content/pdf/10.1134%2FS0005117910070088.pdf
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2009 |
Martynov G., Cramér-von-Mises test for the Weibull and Pareto Distributions, Abstracts of the International Conference “Probability and Statistics with Applications”, 2009, Debrecen, Hungary, 43-44.
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Martynov G., Goodness-of-fit tests for the Weibull and Pareto Distributions, 6th St. Peterburg Workshop on Simulation, 2009, 765-769
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Martynov G., Goodness-of-fit tests for the Weibull and Pareto Distributions,MMR 2009-Mathematical Methods in Reliability, Moscow, 2009, 327-331.
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2006 |
Martynov G., Goodness of fit test and latent distribution estimation in the mixed Rasch model. “Communications in Statistics-Theory and Methods”, vol. 35, 2006, p. 921-935. (With Mesbah M.) ..................................... .............................. http://www.lsta.upmc.fr/mesbah/Articles/Martynov_Mesbah.pdf http://www.lsta.upmc.fr/mesbah/Articles/Martynov_Mesbah.pdf
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2004 |
Martynov G., Weighted Cramér-von-Mises test with estimated parameters. “International Conference LAD’2004: Longevty, Aging and Degradation Models”. Òîì 2, Ñàíêò-Ïåòåðáóðã, 2004, ñòð. 207-222
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2003 |
Martynov G., Deheuvels, P., Martynov G. Karhunen-Loève expansions for weighted Wiener processes and Brownian bridges via Bessel functions. Progress in Probability, 2003, V. 55, pp. 57-93. Birkhäuser Verlag, Basel/Switzerland.
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Martynov G., One defect of the goodness-of-fit tests based on the empirical process. "Kolmogorov and contemporary mathematics. Abstracts" , Moscow, 2003, Moscow State University, pp. 495-496
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2002 |
Martynov G., Testing for mixed Rasch model and estimation of its latent distribution. "Rapport technique - ISRN: UBS-SABRES (Statistique Appliquue Brutagne - Sud)" , Mars 2002. (With M. Mesbach)Testing for mixed Rasch model and estimation of its latent distribution. "Rapport technique - ISRN: UBS-SABRES (Statistique Appliquue Brutagne - Sud)" , Mars 2002. (With M. Mesbach)
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2000 |
Martynov G., Cramér-von Mises test for the Gauss process on [0,1]. " International Workshop GOF2000 on Goodness-of-fit Test and Validity of Models" , Paris, 2000, p. 102
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1999 |
Martynov G., Bi-dimensional normal distribution. In "Probability and Mathematical Statistics: Encyclopaedia", ed. Yu. V. Prokhorov, Moscow, 1999. (In Russian).
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1997 |
Martynov G., Cramér-von Mises goodness-of-fit test for logistic distribution. "XXIXe JournVes de Statistique" , Carcassonne, 26-30 mai 1997, 456-459. ( With Hosine M.E., in French)
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1992 |
Martynov G., G. V. Martynov, “Statistical tests based on empirical processes and related questions”, J. Soviet Math., 61:4 (1992), 2195–2271 http://www.mathnet.ru/links/d75a0b02374288c8cea42755c5193213/intv80.pdf
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1989 |
Martynov G., The generalization of omega square goodness-of-fit tests. "XXXIII Semester on Robustness and Nonparametric Statistics" , March 1-May 31, 1989, Stefan Banach International Center, Warsaw, Part II , pp. 144-146
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1988 |
Martynov G., Practice on probability theory and mathematical statistics. 1988, "Moscow State University" , 5-22
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Martynov G., 1990. G. V. Martynov, “Probabilistic-statistical programs from “Applied Statistics””, J. Soviet Math., 50:3 (1990), 1643–1684 http://iitp.ru/https://link.springer.com/content/pdf/10.1007%2FBF01096290.pdf
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1987 |
Martynov G., Algorithms for the computing of probability distributions. "Reliability and Effectiveness in Technique. Handbook" , V. II , Chapter 6, 1987, "Mashinostroenie", pp. 251-273
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Martynov G., Algorithms for the computing of probability distributions. "Reliability and Effectiveness in Technique. Handbook" , V. II , Chapter 6, 1987, "Mashinostroenie", pp. 251-273
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1986 |
Martynov G., On the evaluation of the multivariate normal integral. "The first international Bernoully congress on mathematical statistics and probability theory" , V. 2 , 1986, Moscow, "Nauka", p. 521
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Martynov G., Computing of the distribution for the ratio of two quadratic forms in normal variates. "Statistical Methods for Estimation and hypotheses testing" , 1986, Perm, "Permian University"
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Martynov G., The transforming of the multivariate normal integral to finite sum of the repeating integrals. "XIX Colloquium on Probability Theory and Mathematical Statistics. Bakuriani" , Tbilisi, "Mezniereba", 1986
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1985 |
Martynov G., Computing of the normal, F-, T- and Chi- square distributions and their quantiles. "III Sci. and Tech. Conf. on Applications of the Multivariate Statistical Analysis in Econ. and Quality Prod.Estimation" , V. II , 1985, Tartu
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Martynov G., The Gaussity test for random processes with estimated parameters. "Fourth international Vilnius conference on probability theory and mathematical statistics" , V. II , 1985, Vilnius, pp. 149-150
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1984 |
Martynov G., Estimating of an error arising in functionals with using the empirical distribution. "Random Analysis and Asymptotic Problems in Probability Theory and Mathematical Statistics" , 1984, Tbilisi,"Mezniereba"
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Martynov G., Computing of the distribution for the ratio of two quadratic forms. "XVIII Colloquium on Probability Theory and Mathematical Statistics. Bakuriani" , Tbilisi, "Tbilisian University", 1984
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1983 |
Martynov G., The compound goodness-of-fit tests. "Researches in Probability and Statistics" , 1983, "Moscow State University", 61-75
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Martynov G., Programs for computing of the multivariate normal distribution. "Proc. of II School "Programs and Algorithms for the Multivariate Statistical Analysis. Zachkadzor" , 1983, Yerewan. (With coautor)
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Martynov G., The program package on the queuing theory. "Proc. of II School "Programs and Algorithms for the Multivariate Statistical Analysis. Zachkadzor" , 1983, Yerewan. (With coauthors)
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1982 |
Martynov G., Gaussity test for random processes. "IV Soviet-Japan Symposium on Probability Theory and Mathematical Statistics" , Tbilisi, 1982
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1981 |
Martynov G., Gaussity test for random processes. "III Vilnius Conf. on Probability Theory and athematical Statistics" , Vilnius, 1981
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1979 |
Martynov G., 1981. G. V. Martynov, “Evaluation of the multivariate normal distribution function”, J. Soviet Math., 17:3 (1981), 1857–1875 ..............................
https://link.springer.com/content/pdf/10.1007%2FBF01085187.pdf http://iitp.ru/https://link.springer.com/content/pdf/10.1007%2FBF01085187.pdf
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1978 |
Martynov G., . Generalization of the omega square test. "Theory of Probability and its Applications" , 1978, V. 23 , N 2
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Martynov G., Ìàðòûíîâ Ã.Â. Êðèòåðèè îìåãà-êâàäðàò, "Íàóêà", Ìîñêâà, 1978, 80 ñòð.
(Martynov G. Omega Square Test. Nauka, 1978, Moscow, 80pp. (In Russian)
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1977 |
Martynov G., 1978. G. V. Martynov, “A generalization of Smirnov"s formula for the distribution functions of quadratic forms”, Theory Probab. Appl., 22:3 (1978), 602–607
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Martynov G., 1978. E. N. Krivyakov, G. V. Martynov, and Yu. N. Tyurin. On the Distribution of the $\omega ^2 $ Statistics in the Multi-Dimensional Case. Theory Probab. Appl., 22:2 (1978), 406–410
https://doi.org/10.1137/1122048 http://www.mathnet.ru/links/51a4523c681c1a2469b6763d2a623771/tvp3231.pdf
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1976 |
Martynov G., G. V. Martynov, “Computation of the limiting distributions of statistics for the ω2-test of normality”, Theory Probab. Appl., 21:1 (1976), 1–13 (Translation from Russian)
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1975 |
Martynov G., Computing the distributions of quadratic forms in normal variables. "Proceedings of the III Soviet-Japan Symposium on Prob. Theory" , 1975, Tashkent
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Martynov G., G. V. Martynov, "Computation of distribution functions of quadratic forms of normally distributed random variables", Theory Probab. Appl., 20:4 (1976), 782-793 (Translation from Russian)
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1973 |
Martynov G., Computation of the limiting distribution for the Cramér-von Mises normality tests. "Theory of Probability and its Applications" , 1973, V. 18 , N 3, 671-673
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1969 |
Martynov G., G. V. Martynov, “Linear binary two-sample tests for shift alternatives”, Theory Probab. Appl., 14:1 (1969), 158–163 (Translation from Russian) http://www.mathnet.ru/links/9d73a4749a7c566df535fbdccb2b3f08/tvp1131.pdf
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1967 |
Martynov G., One generalization of sign and Wilcoxon tests. "Theory of Probability and its Applications" , 1967, V. 12 , N 2
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