On a certain class of limit distributions and their domain of attraction

On a certain class of limit distributions and their domain of attraction
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by D. Mejzler PDF

Trans. Amer. Math. Soc. 117 (1965), 205-236 Request permission

References

Sur la loi de probabilité de l’écart maximum

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B. Gnedenko, Sur la distribution limite du terme maximum d’une série aléatoire, Ann. of Math. (2) 44 (1943), 423–453 (French). MR 8655, DOI 10.2307/1968974
B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
M. L. Juncosa, The asymptotic behavior of the minimum in a sequence of random variables, Duke Math. J. 16 (1949), 609–618. MR 32974, DOI 10.1215/S0012-7094-49-01658-0
D. G. Meĭzler, On a problem of B. V. Gnedenko, Ukrain. Mat. Žurnal 1 (1949), no. 2, 67–84 (Russian). MR 0049503
D. G. Meĭzler, On the limit distribution of the maximal term of a variational series, Dopovidi Akad. Nauk Ukrain. RSR. 1950 (1950), 3–10 (Ukrainian, with Russian summary). MR 0045967

The study of the limit laws for the variational series

D. G. Meĭzler, On the question of limit distributions for the maximal term of a variational series, L′vov. Politehn. Inst. Naučn. Zap. Ser. Fiz.-Mat. Vyp. 38 (1956), 90–109 (1957) (Russian). MR 0256445
D. G. Meĭzler, On partial limit distributions for the maximal term of a variational series, L ′vov. Politehn. Inst. Nauč. Zap. Ser. Fiz.-Mat. 30 (1955), no. 1, 24–44 (Russian). MR 0076212

Limit distributions for sums of independent random variables

On a theorem of B. V. Gnedenko

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