Home Articles List Article Information
The Egyptian Statistical Journal
Journal Archive
Volume Volume 69 (2025)
Volume Volume 68 (2024)
Volume Volume 67 (2023)
Volume Volume 66 (2022)
Volume Volume 65 (2021)
Volume Volume 64 (2020)
Volume Volume 63 (2019)
Volume Volume 62 (2018)
Volume Volume 61 (2017)
Volume Volume 60 (2016)
Volume Volume 59 (2015)
Volume Volume 58 (2014)
Volume Volume 57 (2013)
Volume Volume 56 (2012)
Volume Volume 55 (2011)
Volume Volume 54 (2010)
Volume Volume 53 (2009)
Volume Volume 52 (2008)
Volume Volume 51 (2007)
Volume Volume 50 (2006)
Volume Volume 49 (2005)
Volume Volume 48 (2004)
Volume Volume 47 (2003)
Volume Volume 46 (2002)
Volume Volume 45 (2001)
Volume Volume 44 (2000)
Volume Volume 43 (1999)
Volume Volume 42 (1998)
Volume Volume 41 (1997)
Volume Volume 40 (1996)
Volume Volume 39 (1995)
Volume Volume 38 (1994)
Volume Volume 37 (1993)
Volume Volume 36 (1992)
Volume Volume 35 (1991)
Volume Volume 34 (1990)
Volume Volume 33 (1989)
Volume Volume 32 (1988)
Volume Volume 31 (1987)
Volume Volume 30 (1986)
Volume Volume 29 (1985)
Volume Volume 28 (1984)
Volume Volume 27 (1983)
Volume Volume 26 (1982)
Volume Volume 25 (1981)
Volume Volume 24 (1980)
Volume Volume 23 (1979)
Volume Volume 22 (1978)
Volume Volume 21 (1977)
Volume Volume 20 (1976)
Volume Volume 19 (1975)
Volume Volume 18 (1974)
Volume Volume 17 (1973)
Volume Volume 16 (1972)
Volume Volume 15 (1971)
Volume Volume 14 (1970)
Volume Volume 9 (1965)
Volume Volume 4 (1960)
Volume Volume 3 (1959)
Volume Volume 2 (1958)
(1999). Strong Approximations of Randomly Stopped Processes. The Egyptian Statistical Journal, 43(1), 80-101. doi: 10.21608/esju.1999.314522
. "Strong Approximations of Randomly Stopped Processes". The Egyptian Statistical Journal, 43, 1, 1999, 80-101. doi: 10.21608/esju.1999.314522
(1999). 'Strong Approximations of Randomly Stopped Processes', The Egyptian Statistical Journal, 43(1), pp. 80-101. doi: 10.21608/esju.1999.314522
Strong Approximations of Randomly Stopped Processes. The Egyptian Statistical Journal, 1999; 43(1): 80-101. doi: 10.21608/esju.1999.314522

Strong Approximations of Randomly Stopped Processes

Article 6, Volume 43, Issue 1, June 1999, Page 80-101  XML
Document Type: Original Article
DOI: 10.21608/esju.1999.314522
View on SCiNiTO View on SCiNiTO
Abstract
We study the limiting behavior of some important stochastic processes in weighted metrics based on independent identically distributed random variables when the sample size is random. Partial sum and Two-time parameter processes with random sample size are approximated by their ideal Gaussian processes in the weighted metrics.
Keywords
Brownian Motion; Brownian Bridge; Kiefer Process; Partial Sum Process; Empirical Process; Strong Approximation; Weak Convergence; Randomly Stopped Processes; Weight Functions; Weighted Sup-Norm; Tied-Down at 1
Statistics
Article View: 44