G. Martynov - Publications

2019

Martynov G., Algorithms for the computing of probability distributions. "Reliability and Effectiveness in Technique. Handbook" , V. II , Chapter 6, 1987, "Mashinostroenie", pp. 251-273
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

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

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.

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

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
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

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.
Martynov G., Goodness-of-fit tests for the Weibull and Pareto Distributions, 6th St. Peterburg Workshop on Simulation, 2009, 765-769
Martynov G., Goodness-of-fit tests for the Weibull and Pareto Distributions,MMR 2009-Mathematical Methods in Reliability, Moscow, 2009, 327-331.

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

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

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.
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

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)

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

1999

Martynov G., Bi-dimensional normal distribution. In "Probability and Mathematical Statistics: Encyclopaedia", ed. Yu. V. Prokhorov, Moscow, 1999. (In Russian).

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)

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

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

1988

Martynov G., Practice on probability theory and mathematical statistics. 1988, "Moscow State University" , 5-22
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

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

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
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"
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

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
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

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"
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

1983

Martynov G., The compound goodness-of-fit tests. "Researches in Probability and Statistics" , 1983, "Moscow State University", 61-75
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)
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)

1982

Martynov G., Gaussity test for random processes. "IV Soviet-Japan Symposium on Probability Theory and Mathematical Statistics" , Tbilisi, 1982

1981

Martynov G., Gaussity test for random processes. "III Vilnius Conf. on Probability Theory and athematical Statistics" , Vilnius, 1981

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

1978

Martynov G., . Generalization of the omega square test. "Theory of Probability and its Applications" , 1978, V. 23 , N 2
Martynov G., Ìàðòûíîâ Ã.Â. Êðèòåðèè îìåãà-êâàäðàò, "Íàóêà", Ìîñêâà, 1978, 80 ñòð. (Martynov G. Omega Square Test. Nauka, 1978, Moscow, 80pp. (In Russian)

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
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

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)
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)

1975

Martynov G., Computing the distributions of quadratic forms in normal variables. "Proceedings of the III Soviet-Japan Symposium on Prob. Theory" , 1975, Tashkent

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

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

1967

Martynov G., One generalization of sign and Wilcoxon tests. "Theory of Probability and its Applications" , 1967, V. 12 , N 2