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The limit distribution of the length of the longest head-run. (English) Zbl 0349.60021

MSC:
60F15 Strong limit theorems
60E05 Probability distributions: general theory
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[4] J. Komlós andG. Tusnády, On the sequences of ”pure heads”,Ann. of Probab. 3 (1975), 608–617Zbl 335. 60022 · Zbl 0335.60022
[5] R. von Mises,Mathematical theory of probability and statistics, Academic Press, New York, 1964.MR 31 # 2743 · Zbl 0132.12303
[6] B. A. Sevast’janov, Predel’nyî zakon Puassona v sheme summ zavisimyh slučaînyh veličin (A Poisson limit law in a scheme of sums of dependent random variables),Teor. Verojatnost. i Primenen. 17 (1972), 733–738.MR 46 # 10041
[7] A. M. Zubkov andV. G. Mihaîlov, Predel’nye raspredelenija slučaînyh veličin svjazannyh s dlinnymi povtorenijami v posledovatel’nosti nezavisimyh ispytaniî (Limit distributions of random variables that are connected with long duplications in a sequence of independent trials),Teor. Verojatnost. i Primenen. 19 (1974), 173–181.MR 49 # 4068
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