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Literature Cited
A. Bikyalis, “The central limit theorem in Rk. I,” Liet. Mat. Rinkinys,11, No. 1, 27–58 (1971).
A. Bikyalis, “Multidimensional characteristic functions,” Liet. Mat. Rinkinys,8, No. 1, 21–39 (1968).
R. Lapinskas, “Local limit theorem and asymptotic expansions in the multidimensional case,” Liet. Mat. Rinkinys,11, No. 4, 817–833 (1971).
L. I. Saulis, “Asymptotic expansion for densities of distributions of sums of independent nonidentically distributed multidimensional random variables,” Liet. Mat. Rinkinys,11, No. 3, 651–663 (1971).
L. I. Saulis, “Local limit theorem for densities of distributions in Rk,” Liet. Mat. Rinkinys,12, No. 4, 195–205 (1972).
Kh. Khekendorf, “Multidimensional local limit theorem for densities,” Ukr. Mat. Zh.,16, No. 3, 365–373 (1964).
R. N. Bhattacharya and R. Ranga Rao, Normal Approximation and Asymptotic Expansions, Wiley, New York-London-Sydney-Toronto (1976).
Additional information
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 21, No. 1, pp. 69–84, January–March, 1981.
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Lazakovich, N. Asymptotic expansion for the density of sums of independent random vectors from Rk . Lith Math J 21, 30–39 (1981). https://doi.org/10.1007/BF00970254
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DOI: https://doi.org/10.1007/BF00970254