Literature Cited
A. Aleškevičienė, “Limit theorems for renewal processes and the maximum of a sum of independent random variables,” Doctoral Dissertation, Vilnius (1974).
A. Bikyalis, “On multidimensional characteristic functions,” Liet. Mat. Rinkinys,8, No. 1, 21–39 (1968).
A. Bikyalis, “A central limit theorem in Rk. I,” Liet. Mat. Rinkinys,11, No. 1, 27–58 (1971).
L. Griniuvenė, “Estimation of remainder in Iocal limit theorms for number of renewals in multidimensional case,” Liet. Mat. Rinkinys,15, No.4, 93–115 (1975). [Letter to the Editor, Liet. Mat. Rinkinys,17, No. 1 (1977).]
L. Griniuvenė,“Asymptotic expansion for number of renewals in multidimensional case,” Liet. Mat. Rinkinys,17, No. 1, 87–109 (1977).
E. L. Rvacheva, “Onregions of attraction of multidimensional stable distributions,” Uch. Zap. Lvovsk. Gos. Univ., Ser. Mekh.-Mat.,29, No. 1(6), 5–44 (1954)
V. I. Rotar', “Nonuniform estimate of convergence rate in multidimensional central limit theorem,” Teor. Veroyatn. Ee Primen.,20, No. 4, 647–665 (1970).
R. N. Bhattacharya, “Rates of weak convergence for the multidimensional central limit theorem,” Teor. Veroyatn. Ee Primen.,15, No. 1, 65–85 (1970).
B. von Bahr, “Multidimensional integral limit theorems,” Arkiv Matematik,7, No. 1, 71–88 (1967).
Additional information
Institute of Physics and Mathematics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 18, No. 1, pp. 79–91, January–March, 1978.
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Griniuvenė, L. Structure of remainder in asymptotic expansion for number of renewals in multidimensional case. Lith Math J 18, 52–62 (1978). https://doi.org/10.1007/BF00970680
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DOI: https://doi.org/10.1007/BF00970680