Sunklodas, Jonas Kazys On normal approximation for \(\varphi\)-mixing and \(m\)-dependent random variables. (English) Zbl 07796576 Lith. Math. J. 63, No. 4, 524-546 (2023). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 63, No. 4, 524--546 (2023; Zbl 07796576) Full Text: DOI
Sunklodas, Jonas Kazys On some approximations for sums of \(m\)-dependent random variables. (English) Zbl 1519.60038 Lith. Math. J. 63, No. 2, 203-222 (2023). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 63, No. 2, 203--222 (2023; Zbl 1519.60038) Full Text: DOI
Sunklodas, Jonas Kazys On the rate of convergence in the global central limit theorem for random sums of uniformly strong mixing random variables. (English) Zbl 1468.60035 Lith. Math. J. 60, No. 3, 410-423 (2020). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 60, No. 3, 410--423 (2020; Zbl 1468.60035) Full Text: DOI
Sunklodas, Jonas Kazys On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables. (English) Zbl 1401.60038 Lith. Math. J. 58, No. 2, 219-234 (2018). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 58, No. 2, 219--234 (2018; Zbl 1401.60038) Full Text: DOI
Sunklodas, Jonas Kazys On the normal approximation under some condition for a differential equation of the characteristic function. (English) Zbl 1342.60036 Lith. Math. J. 56, No. 1, 114-126 (2016). MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 56, No. 1, 114--126 (2016; Zbl 1342.60036) Full Text: DOI
Sunklodas, Jonas Kazys On the normal approximation of a negative binomial random sum. (English) Zbl 1326.60030 Lith. Math. J. 55, No. 1, 150-158 (2015). MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 55, No. 1, 150--158 (2015; Zbl 1326.60030) Full Text: DOI
Sunklodas, Jonas Kazys On the normal approximation of a binomial random sum. (English) Zbl 1296.60065 Lith. Math. J. 54, No. 3, 356-365 (2014). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 54, No. 3, 356--365 (2014; Zbl 1296.60065) Full Text: DOI
Sunklodas, Jonas Kazys \(L_1\) bounds for asymptotic normality of random sums of independent random variables. (English) Zbl 1328.60070 Lith. Math. J. 53, No. 4, 438-447 (2013). MSC: 60F05 60F25 60G50 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 53, No. 4, 438--447 (2013; Zbl 1328.60070) Full Text: DOI
Sunklodas, Jonas Kazys Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables. (English) Zbl 1263.60019 Lith. Math. J. 52, No. 3, 326-333 (2012). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 52, No. 3, 326--333 (2012; Zbl 1263.60019) Full Text: DOI
Sunklodas, Jonas Kazys Some estimates of the normal approximation for \(\varphi \)-mixing random variables. (English) Zbl 1227.60031 Lith. Math. J. 51, No. 2, 260-273 (2011). MSC: 60F05 PDFBibTeX XMLCite \textit{J. K. Sunklodas}, Lith. Math. J. 51, No. 2, 260--273 (2011; Zbl 1227.60031) Full Text: DOI
Sunklodas, J. On the rate of convergence of \(L_p\) norms in the CLT for Poisson and gamma random variables. (English) Zbl 1181.60032 Lith. Math. J. 49, No. 2, 216-221 (2009). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 49, No. 2, 216--221 (2009; Zbl 1181.60032) Full Text: DOI
Sunklodas, J. On \(L_{1}\) bounds for asymptotic normality of some weakly dependent random variables. (English) Zbl 1138.60028 Acta Appl. Math. 102, No. 1, 87-98 (2008). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Acta Appl. Math. 102, No. 1, 87--98 (2008; Zbl 1138.60028) Full Text: DOI
Sunklodas, J. On normal approximation of discounted and strongly mixing random variables. (English) Zbl 1266.60045 Lith. Math. J. 47, No. 3, 327-335 (2007); reprint from Liet. Mat. Rink. 47, No. 3, 399-409 (2007). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 47, No. 3, 327--335 (2007; Zbl 1266.60045) Full Text: DOI
Sunklodas, J. On normal approximation for strongly mixing random variables. (English) Zbl 1118.60017 Acta Appl. Math. 97, No. 1-3, 251-260 (2007). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Acta Appl. Math. 97, No. 1--3, 251--260 (2007; Zbl 1118.60017) Full Text: DOI
Sunklodas, J. On the discounted global CLT for some weakly dependent random variables. (English) Zbl 1132.60026 Lith. Math. J. 46, No. 4, 475-486 (2006); and Liet. Mat. Rink. 46, No. 4, 584-597 (2006). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 46, No. 4, 475--486 (2006; Zbl 1132.60026) Full Text: DOI
Sunklodas, J. A lower bound of \(L_p\) norms in the CLT for strongly mixing random variables. (English. Russian original) Zbl 1129.60026 Lith. Math. J. 45, No. 4, 475-486 (2005); translation from Liet. Mat. Rink. 45, No. 4, 587-602 (2005). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 45, No. 4, 475--486 (2005; Zbl 1129.60026); translation from Liet. Mat. Rink. 45, No. 4, 587--602 (2005) Full Text: DOI
Sunklodas, J. On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables. (English) Zbl 1034.60025 Acta Appl. Math. 79, No. 1-2, 143-155 (2003). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Acta Appl. Math. 79, No. 1--2, 143--155 (2003; Zbl 1034.60025) Full Text: DOI
Sunklodas, J. On a lower bound of the rate of convergence in the central limit theorem for \(m\)-dependent random variables. (English) Zbl 0897.60005 Lith. Math. J. 37, No. 3, 291-299 (1997) and Liet. Mat. Rink. 37, No. 3, 388-398 (1997). Reviewer: Z.G.Gorgadze (Tbilisi) MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 37, No. 3, 291--299 (1997) and Liet. Mat. Rink. 37, No. 3, 388--398 (1997; Zbl 0897.60005) Full Text: DOI
Sunklodas, J. Some estimates in the central limit theorem for \(\varphi\)-mixing random variables. (English) Zbl 0884.60020 Lith. Math. J. 36, No. 2, 204-213 (1996) and Liet. Mat. Rink. 36, No. 2, 257-269 (1996). Reviewer: J.Steinebach (Marburg) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 36, No. 2, 204--213 (1996) and Liet. Mat. Rink 36, No. 2, 257--269 (1996; Zbl 0884.60020) Full Text: DOI
Sunklodas, J. Probability inequalities for sums of weakly dependent random variables. (English) Zbl 0796.60031 Lith. Math. J. 32, No. 3, 334-341 (1992); reprint from Liet. Mat. Rink. 32, No. 3, 426-434 (1992). MSC: 60F10 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 32, No. 3, 334--341 (1992; Zbl 0796.60031) Full Text: DOI
Sunklodas, J. Improvement of the rate of convergence in the multidimensional central limit theorem for m-dependent random vectors. (English. Russian original) Zbl 0659.60041 Lith. Math. J. 25, 187-191 (1985); translation from Lit. Mat. Sb. 25, No. 2, 177-182 (1985). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 25, 187--191 (1985; Zbl 0659.60041); translation from Lit. Mat. Sb. 25, No. 2, 177--182 (1985) Full Text: DOI
Sunklodas, J. Inequalities for distributions of sums of m-dependent random elements. I. (English) Zbl 0534.60004 Lith. Math. J. 23, 229-238 (1984). MSC: 60B05 60E15 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 23, 229--238 (1984; Zbl 0534.60004) Full Text: DOI
Sunklodas, J. Some bounds for the distribution of sums of weakly independent random variables. (English) Zbl 0411.60017 Lith. Math. J. 18, 144-147 (1978). MSC: 60E05 60G50 PDFBibTeX XMLCite \textit{J. Sunklodas}, Lith. Math. J. 18, 144--147 (1978; Zbl 0411.60017) Full Text: DOI