Phương pháp toán tử Trotter cho xấp xỉ Laplace đối xứng
Abstract
Tóm tắt
Article Details
Tài liệu tham khảo
Butzer, P. L., Hahn, L. and Westphal, U., 1975. On the rate of approximation in the central limit theorem, J. Approx. Theory13, 327-340.
Butzer, P.L. and L. Hahn, 1978. General theorems on rates of convergence in distribution of random variables I. General limit theorems, Journal of multivariate analysis 8, pp. 181- 201.
Butzer, P.L., Hahn, L., 1978. General theorems on rates of convergence in distribution of random variables II. Applications to the Stable Limit Laws and Weak Law of Large Numbers, Journal of multivariate analysis 8, pp. 202- 221.
Tran Loc Hung and Vu Thi Thao, 2013. Bounds for the Approximation of Poisson-binomial distribution by Poisson distribution, Journal of Inequalities and Applications, 1029-242X.
Tran Loc Hung and Le Truong Giang, 2014. On bounds in Poisson approximation for integer-valued independent random variables, Journal of Inequalities and Applications, 1029-242X-2014-291.
Kotz, S., Kozubowski, T. J., and Podgo'rski, K., 2001. The Laplace distribution and generalizations: A Revisit with Applications to Communications Economics, Engineering, and Finance, Birkhauser Boston, Inc., Boston, MA.
Pike, J. and Ren, H., 2012. it Stein's method and the Laplace distribution, arXiv:1210.5//5v1.
Sakalauskas, V., 1977. An estimate in the multidimensional limit theorem, Liet. matem. Rink, V. 17(4), pp. 195- 201.
Toda, A. A., 2012. Weak Limit of the Geometric Sum of Independent But Not Identically Distributed Random Variables, arXiv:1111.1786v2.
TrotterH. F., 1959. An elementary proof of the central limit theorem, Arch. Math. Basel 10, 226- 234.