Laws of iterated logarithm of multiparameter Wiener processes

DOI10.1016/0047-259X(73)90017-1zbMath0278.60053OpenAlexW2075798240MaRDI QIDQ1394067

Chull Park, S. R. Paranjape

Publication date: 1973

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(73)90017-1

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Brownian motion (60J65) Markov processes (60J99)

Related Items (10)

Some limit theorems for fractional Lévy Brownian fields ⋮ Multidimensional Lévy inequalities and their applications ⋮ A remark on the multiparameter law of the iterated logarithm ⋮ On the strong law of large numbers for delayed sums and random fields ⋮ Confidence regions for images observed under the Radon transform ⋮ How big are the increments of a multi-parameter Wiener process? ⋮ On the LSL for random fields ⋮ Asymptotic behaviors for the increments of Gaussian random fields ⋮ Maximal inequalities for partial sums of independent random vectors with multi dimensional time parameters ⋮ Confidence bands for multivariate and time dependent inverse regression models

Cites Work

• A Multi-Parameter Gaussian Process
• Wiener Measure in a Space of Functions of Two Variables
• Some Sample Function Properties of the Two-parameter Gaussian Process
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