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)
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
Aliashvili, Teimuraz On random planar endomorphisms. (English) Zbl 1503.60062 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 4, 7-12 (2021). MSC: 60G99 60D05 PDFBibTeX XMLCite \textit{T. Aliashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 4, 7--12 (2021; Zbl 1503.60062) 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
Jaoshvili, Vakhtang; Purtukhia, Omar; Zerakidze, Zurab Stochastic derivative of Poisson polynomial functionals and its application. (English) Zbl 1456.60132 Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 29-37 (2020). MSC: 60H05 60H07 PDFBibTeX XMLCite \textit{V. Jaoshvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 14, No. 1, 29--37 (2020; Zbl 1456.60132) 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
Tsertsvadze, Guram The probabilistic model of canonically conjugate fuzzy subsets. (English) Zbl 1468.60007 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 53-58 (2018). MSC: 60A86 03E72 PDFBibTeX XMLCite \textit{G. Tsertsvadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 53--58 (2018; Zbl 1468.60007) 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
Prangishvili, Archil; Meladze, Hamlet; Kakubava, Revaz; Davitashvili, Tinatin; Svanidze, Nino On network maintenance problem. Mixed-type semi-Markov queuing system with bifurcation of arrivals. (English) Zbl 1427.90111 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 2, 36-40 (2018). MSC: 90B25 90B22 60K15 60K25 PDFBibTeX XMLCite \textit{A. Prangishvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 2, 36--40 (2018; Zbl 1427.90111) Full Text: Link
Babilua, Petre; Dochviri, Besarion; Khechinashvili, Zaza On one discrete model of the financial market. (English) Zbl 1414.91408 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 21-26 (2016). MSC: 91G60 91G20 60G44 PDFBibTeX XMLCite \textit{P. Babilua} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 21--26 (2016; Zbl 1414.91408) 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
Aliashvili, Teimuraz Topological invariants of random polynomials. (English) Zbl 1371.55002 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 7-12 (2016). MSC: 55M25 14P25 60D05 PDFBibTeX XMLCite \textit{T. Aliashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 4, 7--12 (2016; Zbl 1371.55002) Full Text: Link
Purtukhia, Omar Stochastic integral representation of one nonsmooth Brownian functional. (English) Zbl 1358.60070 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 17-26 (2016). MSC: 60H05 60H07 60J65 PDFBibTeX XMLCite \textit{O. Purtukhia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 3, 17--26 (2016; Zbl 1358.60070) Full Text: Link
Glonti, Omar; Purtukhia, Omar Hedging of European option of integral type. (English) Zbl 1414.91372 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 3, 4-13 (2014). MSC: 91G20 60H05 PDFBibTeX XMLCite \textit{O. Glonti} and \textit{O. Purtukhia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 3, 4--13 (2014; Zbl 1414.91372) 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
Glonti, Omar; Purtukhia, Omar Clark’s representation of Wiener functionals and hedging of the barrier option. (English) Zbl 1307.91176 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 32-39 (2014). MSC: 91G20 60H30 60H07 PDFBibTeX XMLCite \textit{O. Glonti} and \textit{O. Purtukhia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 32--39 (2014; Zbl 1307.91176) 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
Mamporia, Badri On the Wiener processes in a Banach space. (English) Zbl 1315.46014 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 5-14 (2013). MSC: 46B09 60B11 60G15 PDFBibTeX XMLCite \textit{B. Mamporia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 2, 5--14 (2013; Zbl 1315.46014) Full Text: Link
Piranashvili, Zurab Some remarks on certain sampling formulas. (English) Zbl 1294.60073 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 3, 15-30 (2013). MSC: 60G60 PDFBibTeX XMLCite \textit{Z. Piranashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 3, 15--30 (2013; Zbl 1294.60073) Full Text: Link
Glonti, Omar Partially independent random variables. (English) Zbl 1251.60019 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 23-31 (2012). MSC: 60E99 60E10 PDFBibTeX XMLCite \textit{O. Glonti}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 23--31 (2012; Zbl 1251.60019)
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)
Chikvinidze, Besik Semimartingale backward equations with convex generator. (English) Zbl 1253.60071 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 31-34 (2011). MSC: 60H10 93E20 PDFBibTeX XMLCite \textit{B. Chikvinidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 31--34 (2011; Zbl 1253.60071)
Chobanyan, Sergei; Levental, Shlomo; Salehi, Habib A distribution maximum inequality for rearrangements of summands. (English) Zbl 1259.60023 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 25-30 (2011). Reviewer: Michael Falk (Würzburg) MSC: 60E15 60B11 PDFBibTeX XMLCite \textit{S. Chobanyan} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 25--30 (2011; Zbl 1259.60023)
Mamporia, Badri Itô’s formula in a Banach space. (English) Zbl 1253.60067 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 11-16 (2011). MSC: 60H05 60B11 PDFBibTeX XMLCite \textit{B. Mamporia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 11--16 (2011; Zbl 1253.60067)
Piranashvili, Zurab A. On the generalized fast convergent sampling series. (English) Zbl 1230.60038 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 19-24 (2011). MSC: 60G09 94A12 60F99 PDFBibTeX XMLCite \textit{Z. A. Piranashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 2, 19--24 (2011; Zbl 1230.60038)
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)
Piranashvili, Zurab On estimation of the remainder term of the generalized sampling series. (English) Zbl 1217.60027 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 30-32 (2009). MSC: 60F99 PDFBibTeX XMLCite \textit{Z. Piranashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 30--32 (2009; Zbl 1217.60027)
Chobanyan, Sergei; Levental, Shlomo; Mandrekar, Vidyadhar Equivalence of convergence for almost all signs and almost all rearrangements of functional series. (English) Zbl 1217.60006 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 23-29 (2009). MSC: 60B11 60F15 PDFBibTeX XMLCite \textit{S. Chobanyan} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 2, 23--29 (2009; Zbl 1217.60006)
Vakhania, Nicholas On a probability problem of Lewis Carroll. (English) Zbl 1206.60010 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 8-11 (2009). MSC: 60C05 PDFBibTeX XMLCite \textit{N. Vakhania}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 8--11 (2009; Zbl 1206.60010)
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)
Jaoshvili, Vakhtang; Purtukhia, Otar Martingale representation theorems for multidimensional Wiener functionals. (English) Zbl 1228.60048 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 41-46 (2008). MSC: 60G15 60H05 60H07 PDFBibTeX XMLCite \textit{V. Jaoshvili} and \textit{O. Purtukhia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 1, 41--46 (2008; Zbl 1228.60048) Full Text: Link
Glonti, Omar; Khechinashvili, Zaza Martingale measures for the geometrical Gaussian martingale. (English) Zbl 1211.60014 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 40-43 (2008). Reviewer: Catherine Rainer (Brest) MSC: 60G42 60G15 PDFBibTeX XMLCite \textit{O. Glonti} and \textit{Z. Khechinashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 40--43 (2008; Zbl 1211.60014)
Shashiashvili, Malkhaz; Rehman, Nasir Continuity estimates with respect to volatility for the American foreign exchange option. (English) Zbl 1181.91318 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 33-39 (2008). MSC: 91G20 60H30 PDFBibTeX XMLCite \textit{M. Shashiashvili} and \textit{N. Rehman}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 33--39 (2008; Zbl 1181.91318)
Jaoshvili, Vakhtang; Purtukhia, Omar Stochastic integral representation of multidimensional polynomial Poisson functionals. (English) Zbl 1181.60077 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 19-22 (2008). MSC: 60H05 PDFBibTeX XMLCite \textit{V. Jaoshvili} and \textit{O. Purtukhia}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 19--22 (2008; Zbl 1181.60077)