On Projective Geometry over Full Matrix Rings
نویسندگان
چکیده
1. K. L. Chung, Fluctuation of sums of independent random variables, Ann. of Math. vol. 51 (1950) pp. 697-706. 2. K. L. Chung and P. Erdos, Probability limit theorems assuming only the first moment. I, Memoirs of the American Mathematical Society, no. 6, pp. 13-19. 3.-, On the lower limit of sums of independent random variables, Ann. of Math. vol. 48 (1947) pp. 1003-1013. 4. K. L. Chung and W. H.J. Fuchs, On the distribution of values of sums of random variables, Memoirs of the American Mathematical Society, no. 6, pp. 1-9. 5. H. Cramer, Random variables and probability distributions, Cambridge Tracts in Mathematics, no. 36, 1937. 6. C. G. Esseen, Fourier analysis of distribution functions, Acta Math. vol. 77 (1945) pp. 5-145. 7. G. P6lya, Uber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentproblem, Math. Zeit. vol. 8 (1920) pp. 171-181. 8. G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, 1938.
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