Lominashvili, Giorgi; Patsatsia, Mzevinar; Zerakidze, Zurab Consistent and unbiased estimators of any parametric function for Gaussian statistical structures. (English) Zbl 07819003 Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 4, 7-13 (2022). MSC: 62-XX 03-XX PDFBibTeX XMLCite \textit{G. Lominashvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 16, No. 4, 7--13 (2022; Zbl 07819003)
Zerakidze, Zurab; Patsatsia, Mzevinar The consistent estimators of Charlier statistical structures in Banach space of measures. (English) Zbl 1503.62033 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 14-20 (2021). MSC: 62G05 28A33 62G20 PDFBibTeX XMLCite \textit{Z. Zerakidze} and \textit{M. Patsatsia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 14--20 (2021; Zbl 1503.62033) Full Text: Link
Babilua, Petre; Nadaraya, Elizbar; Patsatsia, Mzevinar On the Chi-square test of homogeneity in case of a simultaneous increase of the number of observations and the number of interval partitions. (English) Zbl 1456.62082 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 2, 14-17 (2020). MSC: 62G10 62G07 62E20 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 2, 14--17 (2020; Zbl 1456.62082) Full Text: Link
Tkeshelashvili, Alexander; Patsatsia, Mzevinar On absolute continuity of random measures for an integral type transformation. (English) Zbl 1471.60074 Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 1, 7-12 (2019). MSC: 60G57 60A10 PDFBibTeX XMLCite \textit{A. Tkeshelashvili} and \textit{M. Patsatsia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 1, 7--12 (2019; Zbl 1471.60074) Full Text: Link
Zerakidze, Zurab; Patsatsia, Mzevinar Extreme points and consistent criteria for hypothesis testing in a Banach space of measures. (English) Zbl 1433.62148 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 33-38 (2018). MSC: 62H15 60A05 28A33 PDFBibTeX XMLCite \textit{Z. Zerakidze} and \textit{M. Patsatsia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 33--38 (2018; Zbl 1433.62148) Full Text: Link
Babilua, Petre; Nadaraya, Elizbar; Patsatsia, Mzevinar; Khechinashvili, Zaza On the estimation of the odds-ratio based on kernel estimates of the regression function. (English) Zbl 1393.62013 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 3, 14-21 (2017). MSC: 62G08 62G20 62E20 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 3, 14--21 (2017; Zbl 1393.62013) Full Text: Link
Lominashvili, George; Patsatsia, Mzevinar On the estimation of a maximum likelihood of truncated exponential distributions. (English) Zbl 1281.62059 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 1, 21-24 (2013). MSC: 62F10 62F12 PDFBibTeX XMLCite \textit{G. Lominashvili} and \textit{M. Patsatsia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 1, 21--24 (2013; Zbl 1281.62059) Full Text: Link
Lominashvili, George; Patsatsia, Mzevinar On the pseudo-maximal likelihood estimation of the parameters of an exponential distribution by grouped observations with censoring. (English) Zbl 1282.62043 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 19-24 (2012). MSC: 62F10 62N01 PDFBibTeX XMLCite \textit{G. Lominashvili} and \textit{M. Patsatsia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 19--24 (2012; Zbl 1282.62043) Full Text: Link
Nadaraya, Elizbar; Babilua, Petre; Patsatsia, Mzevinar On one nonparametric estimate of a Bernoulli regression function. (English) Zbl 1283.62087 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 5-10 (2012). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 5--10 (2012; Zbl 1283.62087) Full Text: Link
Nadaraya, Elizbar; Babilua, Petre; Patsatsia, Mzevinar; Sokhadze, Grigol On the Cramer-Rao inequality in an infinite dimensional space. (English) Zbl 1397.60054 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 5-13 (2012). MSC: 60E15 60B11 62F10 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 5--13 (2012; Zbl 1397.60054)
Babilua, Petre; Nadaraya, Elizbar; Patsatsia, Mzevinar; Sokhadze, Grigol On one property of the Wiener integral and its statistical application. (English) Zbl 1180.62116 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 30-39 (2009). MSC: 62M05 62G07 60J60 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 30--39 (2009; Zbl 1180.62116)
Babilua, Petre; Dochviri, Besarion; Patsatsia, Mzevinar; Lominashvili, George; Shashiashvili, Malkhaz On the generalization of one theorem of Bensoussan-Lions. (English) Zbl 1281.49004 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 13-16 (2008). MSC: 49J40 60G40 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 2, 13--16 (2008; Zbl 1281.49004)