References
L. De Haan and A. Hordijk, The rate of growth of sample maxima,Ann. Math. Statist.,43 (1972), 1185–1196.
J. Galambos,The asymptotic theory of extreme order statistics, Wiley (New York, 1978).
J. Ortega and M. Wschebor, On the sequence of partial maxima of some random sequences,Stochastic Processes Appl.,16 (1984), 85–98.
S. S. Nayak, Almost sure limit points of independent copies of sample maxima,Stochastic Processes and their Applications,20 (1985), 353–360.
H. Vishnu Hebbar, A functional law of the iterated logarithm for maxima of Gaussian sequences,Z. Wahrscheinlichkeitstheorie Verw. Gebiete,45 (1978), 181–189.
H. Vishnu Hebbar, A law of the iterated logarithm for extreme values from Gaussian sequences,Z. Wahrscheinlichkeitstheorie Verw. Gebiete,48 (1979), 1–16.
H. Vishnu Hebbar, Almost sure limit points of maxima of stationary Gaussian sequences,Ann. Probability,8 (1980), 393–399.
M. J. Wichura, On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables,Ann. Probability,2 (1974), 202–230.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nayak, S.S. Almost sure limit points of sample extremes of an i.i.d. sequence. Acta Math Hung 51, 35–45 (1988). https://doi.org/10.1007/BF01903614
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01903614