We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Let X1, X2,…be independent and identically distributed non-lattice random variables with zero, varianceσ2<∞, and partial sums Sn = X1+X2+…+X.
[1]Cramér, H., ‘Random variables and probability distributions’ (Cambridge, 1937).Google Scholar
[2]
[2]Feller, W., An introduction to probability theory and its applications' II (Wiley, 1966).Google Scholar
[3]
[3]Gnedenko, B. V. and A. N. Kolmogorov, ‘Limit distributions for sums of independent random variables’, trans. Chung, K. L. (Addison-Wesley, 1954).Google Scholar
[4]
[4]Heatcote, C. R., ‘Complete exponential convergence and some related topics’, J. Applied Prob., 4, (1967), 217–256.CrossRefGoogle Scholar
[5]
[5]Keilson, J., ‘Green's function methods in probility theory’, (Grifin, 1965).Google Scholar
[6]
[6]Kingman, J. F. C., ‘Some inequalities for the queue GI/G/I’, Biometrika, 49, (1962), 315–324.CrossRefGoogle Scholar
[7]
[7]Lukacs, E., ‘Characteristic functions’, (Griffin, 1960).Google Scholar
[8]
[8]Rosén, B., ‘On the asymptotic distribution of sums of independent identically distributed random variable’, Arkiv för Mat., 4, (1963), 323–332.CrossRefGoogle Scholar