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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2013, Volume 420, Pages 149–156 (Mi znsl5732)

Strengthenings of inequalities by Lyapunov, Hölder and Minkowski
V. V. Petrov

References

1. V. V. Petrov, “Odno neravenstvo dlya momentov sluchainoi velichiny”, Teoriya veroyatn. i ee primen., 20:2 (1975), 402–403  mathnet  mathscinet  zmath
2. V. V. Petrov, Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987  mathscinet
3. V. V. Petrov, Limit Theorems of Probability Theory, Oxford University Press, New York, 1995  mathscinet  zmath
4. V. V. Petrov, “A generalization of the Borel–Cantelli lemma”, Statist. Probab. Letters, 67 (2004), 233–239  crossref  mathscinet  zmath  isi
5. B. C. Arnold, “Some elementary versions of the Lyapunov inequality”, SIAM J. Appl. Math., 35 (1978), 117–118  crossref  mathscinet  zmath
6. V. V. Petrov, “On lower bounds for tail probabilities”, J. Statist. Planning Inference, 137 (2007), 2703–2705  crossref  mathscinet  zmath  isi  elib
7. V. V. Petrov, “Obobschenie neravenstva Chzhuna–Erdësha dlya veroyatnosti ob'edineniya sobytii”, Zap. nauchn. semin. POMI, 396, 2007, 147–150  mathnet  mathscinet  zmath
8. M. Loev, Teoriya veroyatnostei, IL, M., 1962  mathscinet
9. V. V. Petrov, “O poryadke rosta summ zavisimykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 18:2 (1973), 358–361  mathnet  mathscinet  zmath
10. V. V. Petrov, “O roste summ izmerimykh funktsii”, Litovskii matem. sb., 16 (1976), 189–192  zmath
11. V. V. Petrov, “Nekotorye neravenstva dlya momentov”, Izvestiya AN Uzbek. SSR, ser. fiz.-matem. nauk, 1982, no. 5, 358–361


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