Almost sure limit points of and the number of boundary crossings related to SLLN and LIL for record times, inter-record times and the number of record values

DOI10.1016/0304-4149(84)90319-3zbMath0536.60039OpenAlexW2033858645MaRDI QIDQ791986

S. S. Nayak

Publication date: 1984

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90319-3

zbMATH Keywords

record valuesrecord timesinter-record timesmoments of the number of boundary crossingsnumber of boundary crossings

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (3)

Convergence rates for record times and the associated counting process ⋮ On the number of boundary crossings related to LIL and SLLN for record values and partial maxima of i.i.d. sequences and extremes of uniform spacings ⋮ Almost sure limit points of record values from two independent populations

Cites Work

• Unnamed Item
• Limit theorems for records from discrete distributions
• ON Rényi's “Record” Problem and Engel's Series
• On the last time and the number of boundary crossings related to the strong law of large numbers and the law of the iterated logarithm
• Moments of Oscillations and Ruled Sums
• An iterated logarithm law for maxima of nonstationary Gaussian processes
• Convergence Rates in the Law of Large Numbers
• Waitingtimes between record observations
• ON THE LAW OF THE ITERATED LOGARITHM
• A note on the waiting times between record observations
• On the Strong Law of Large Numbers
• The Probability in the Tail of a Distribution
• On the law of the iterated logarithm for inter-record times
• Note on the Berry-Esseen Theorem

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