Hebbar, H. Vishnu A law of the iterated logarithm for extreme values from Gaussian sequences. (English) Zbl 0387.60035 Z. Wahrscheinlichkeitstheor. Verw. Geb. 48, 1-16 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 60F15 Strong limit theorems PDF BibTeX XML Cite \textit{H. V. Hebbar}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 48, 1--16 (1979; Zbl 0387.60035) Full Text: DOI References: [1] Deo, C.M.: An iterated logarithm law for maxima of non-stationary Gaussian processes. J. Appl. Probability 10, 402-408 (1973) · Zbl 0273.60018 · doi:10.2307/3212356 [2] LePage, R.D.: Loglog law for Gaussian processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete 25, 103-108 (1973) · Zbl 0237.60017 · doi:10.1007/BF00533098 [3] Mittal, Y.: Limiting behaviour of maxima in stationary Gaussian sequences. Ann. Probability 2, 231-242 (1974) · Zbl 0279.60025 · doi:10.1214/aop/1176996705 [4] Pakshirajan, R.P., Vasudeva, R.: A law of the iterated logarithm for stable summands. Trans. Amer. Math. Soc. 232, 33-42 (1977) · Zbl 0325.60034 · doi:10.1090/S0002-9947-1977-0455093-4 [5] Pickands, J. III: An iterated logarithm law for the maximum in a stationary Gaussian sequence. Z. Wahrscheinlichkeitstheorie verw. Gebiete 12, 344-353 (1969) · Zbl 0181.20703 · doi:10.1007/BF00538755 [6] Qualls, C., Watanabe, H.: An asymptotic 0-1 behaviour of Gaussian process. Ann. Math. Statist. 42, 2029-2035 (1971) · Zbl 0239.60031 · doi:10.1214/aoms/1177693070 [7] Strassen, V.: An invariance principle for the law of the iterated logarithm. Z. Wahrscheinlichkeitstheorie verw. Gebiete 3, 211-226 (1964) · Zbl 0132.12903 · doi:10.1007/BF00534910 [8] Vishnu Hebbar, H.: Almost sure limit points of maxima of stationary Gaussian sequences. [Submitted to Ann. Probability] · Zbl 0428.60041 [9] Welsch, R. E.: A weak convergence theorem for order statistics from strong-mixing processes. Ann. Math. Statist. 42, 1637-1646 (1971) · Zbl 0244.60008 · doi:10.1214/aoms/1177693162 [10] Welsch, R.E.: A convergence theorem for extreme values from Gaussian sequences. Ann. Probability 1, 398-404 (1973) · Zbl 0258.62030 · doi:10.1214/aop/1176996934 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.