Babilua, Petre; Nadaraya, Elizbar On the limit distribution of integral square deviation between projection type estimators of distribution density in \(p\ge 2\) independent samples. (English) Zbl 07819001 Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 15-18 (2023). MSC: 62-XX 60-XX PDFBibTeX XMLCite \textit{P. Babilua} and \textit{E. Nadaraya}, Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 15--18 (2023; Zbl 07819001)
Zerakidze, Zurab; Saatashvili, Gimzer; Aleksidze, Lela; Eliauri, Laura Consistent estimators of parameters and consistent hypotheses testing criteria for the Haar statistical structures. (English) Zbl 07819000 Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 7-12 (2023). MSC: 62-XX 60-XX PDFBibTeX XMLCite \textit{Z. Zerakidze} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 7--12 (2023; Zbl 07819000)
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)
Babilua, Petre; Nadaraya, Elizbar On a new method of testing the hypothesis of equality of two Bernoulli regression functions for group observations. (English) Zbl 1503.62038 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 4, 13-19 (2021). MSC: 62G08 62G10 62G20 60F05 PDFBibTeX XMLCite \textit{P. Babilua} and \textit{E. Nadaraya}, Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 4, 13--19 (2021; Zbl 1503.62038) Full Text: Link
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
Zerakidze, Zurab; Aleksidze, Lela; Eliauri, Laura The consistent estimators of parameters of Gaussian statistical structures. (The consistent estimators of parametres of Gaussian statistical structures.) (English) Zbl 1503.62029 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 4, 7-12 (2020). MSC: 62F12 PDFBibTeX XMLCite \textit{Z. Zerakidze} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 4, 7--12 (2020; Zbl 1503.62029) Full Text: Link
Kvatadze, Zurab; Pharjiani, Beqnu Kernel estimations of the density distribution constructed by dependent observations and the accuracy of their approximation by \(L_1\) metric. (English) Zbl 1456.62060 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 39-43 (2020). MSC: 62G07 60J10 PDFBibTeX XMLCite \textit{Z. Kvatadze} and \textit{B. Pharjiani}, Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 39--43 (2020; Zbl 1456.62060) Full Text: Link
Babilua, Petre; Nadaraya, Elizbar On the estimating the Bernoulli regression function using Bernstein polynomials. (English) Zbl 1456.62133 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 23-27 (2020). MSC: 62J02 62F03 PDFBibTeX XMLCite \textit{P. Babilua} and \textit{E. Nadaraya}, Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 23--27 (2020; Zbl 1456.62133) 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
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
Kvatadze, Zurab; Pharjiani, Beqnu Nonparametric estimates of distribution density constructed by dependent observations and approximation accuracy. (English) Zbl 1433.62100 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 3, 17-22 (2018). MSC: 62G05 62G07 60F17 60J10 PDFBibTeX XMLCite \textit{Z. Kvatadze} and \textit{B. Pharjiani}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 3, 17--22 (2018; Zbl 1433.62100) Full Text: Link
Sborshchikovi, Aleksandre On nonparametric quantile function estimation using transformed moments. (English) Zbl 1393.62017 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 3, 22-27 (2017). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{A. Sborshchikovi}, Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 3, 22--27 (2017; Zbl 1393.62017) 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
Labadze, Levan Estimation of some parameters of the Ornstein-Uhlenbeck stochastic process. (English) Zbl 1372.60114 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 13-20 (2016). MSC: 60J60 60H10 60F15 62F12 PDFBibTeX XMLCite \textit{L. Labadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 13--20 (2016; Zbl 1372.60114) Full Text: Link
Babilua, Petre; Nadaraya, Elizbar; Sokhadze, Grigol On testing hypotheses of equality distribution densities. (English) Zbl 1359.62138 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 27-32 (2016). MSC: 62G10 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 27--32 (2016; Zbl 1359.62138) Full Text: Link
Farbod, Davood On the estimators for some frequency distributions arising in bioinformatics. (English) Zbl 1356.62019 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 44-50 (2015). MSC: 62E10 62F10 62P10 92C40 PDFBibTeX XMLCite \textit{D. Farbod}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 44--50 (2015; Zbl 1356.62019) Full Text: Link
Pijyan, Alex On estimation of unknown parameters of exponential-logarithmic distribution by censored data. (English) Zbl 1419.62275 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 33-38 (2015). MSC: 62N02 62F12 PDFBibTeX XMLCite \textit{A. Pijyan}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 2, 33--38 (2015; Zbl 1419.62275) Full Text: Link
Arabidze, Dimitri Integral functionals of the Priestley-Chao regression function. (English) Zbl 1345.62063 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 2, 29-40 (2014). MSC: 62G07 62G20 60F05 PDFBibTeX XMLCite \textit{D. Arabidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 2, 29--40 (2014; Zbl 1345.62063) Full Text: Link
Nadaraya, Elizbar; Babilua, Petre; Sokhadze, Grigol On testing the hypothesis of equality of two Bernoulli regression functions. (English) Zbl 1329.62215 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 18-26 (2014). MSC: 62G10 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 18--26 (2014; Zbl 1329.62215) Full Text: Link
Akhobadze, Merab; Kurtskhalia, Elguja Towards mathematical modeling of mass service processes. (English) Zbl 1308.93024 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 66-70 (2013). MSC: 93A30 60K30 62P25 PDFBibTeX XMLCite \textit{M. Akhobadze} and \textit{E. Kurtskhalia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 66--70 (2013; Zbl 1308.93024) 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)
Nadaraya, Elizbar; Babilua, Petre; Sokhadze, Grigol On the estimation of a distribution function by an indirect sample. II. (English) Zbl 1325.62078 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 11-18 (2011). MSC: 62G05 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 11--18 (2011; Zbl 1325.62078) Full Text: Link
Dochviri, Besarion; Nadaraya, Elizbar; Sokhadze, Grigol; Tkemaladze, Guram On the estimation of the coefficients in one stochastic model of an enzymic reaction. (English) Zbl 1221.92047 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 1, 104-107 (2011). MSC: 92C45 60J70 62P10 PDFBibTeX XMLCite \textit{B. Dochviri} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 1, 104--107 (2011; Zbl 1221.92047)
Kachiashvili, Kartlos; Hashmi, Muntazim Abbas About using sequential analysis approach for testing many hypotheses. (English) Zbl 1371.62060 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 2, 20-26 (2010). MSC: 62L10 PDFBibTeX XMLCite \textit{K. Kachiashvili} and \textit{M. A. Hashmi}, Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 2, 20--26 (2010; Zbl 1371.62060)
Nadaraya, Elizbar; Babilua, Petre; Sokhadze, Grigol On the regression estimation in a Hilbert space. (English) Zbl 1371.62057 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 1, 8-11 (2010). MSC: 62J05 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 1, 8--11 (2010; Zbl 1371.62057) Full Text: Link
Nadaraya, Elizbar; Babilua, Petre; Sokhadze, Grigol On the estimation of a distribution function by an indirect sample. I. (English) Zbl 1277.62107 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 5-12 (2010). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 3, 5--12 (2010; Zbl 1277.62107) Full Text: Link
Kipshidze, Zurab; Chaduneli, Alexander; Ananiashvili, Gulaber; Ghlonti, George Constructive method for the recognition of patterns. (English) Zbl 1217.68194 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 30-32 (2009). MSC: 68T10 62H30 PDFBibTeX XMLCite \textit{Z. Kipshidze} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 30--32 (2009; Zbl 1217.68194)
Nadaraya, Elizbar; Babilua, Petre; Sokhadze, Grigol On some goodness-of-fit tests based on kernel type Wolverton-Wagner estimates. (English) Zbl 1217.62063 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 11-18 (2009). MSC: 62G10 PDFBibTeX XMLCite \textit{E. Nadaraya} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 11--18 (2009; Zbl 1217.62063)
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)
Nadaraya, Elizbar; Babilua, Petre On the power of the goodness-of-fit test based on Wolverton-Wagner distribution density estimates. (English) Zbl 1371.62042 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 7-15 (2008). MSC: 62G10 62G07 PDFBibTeX XMLCite \textit{E. Nadaraya} and \textit{P. Babilua}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 7--15 (2008; Zbl 1371.62042) Full Text: Link
Nadaraya, Elizbar On an integral square deviation measure with the weight of “delta-functions” of the Rosenblatt-Parzen probability density estimator. (English) Zbl 1184.62019 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 8-13 (2008). MSC: 62E20 62G07 62G20 62G10 PDFBibTeX XMLCite \textit{E. Nadaraya}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 8--13 (2008; Zbl 1184.62019)