# G. Martynov - Publications

### 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

### 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.

### 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

### 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

### 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

### 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
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)

### 1975

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

### 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