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ALMOST SURE CENTRAL LIMIT THEOREMS

Gonchigdanzan, Khurelbaatar
http://rave.ohiolink.edu/etdc/view?acc_num=ucin990028192

Abstract Details

2001, PhD, University of Cincinnati, Arts and Sciences : Mathematics.
The almost sure central limit theorem (ASCLT) has been discovered by two works by Brosamler (1988) and Schatte (1988) and extensively studied in the past decade. In the dissertation we investigate ASCLT and its extensions to weakly dependent random variables. Its strong approximation is also considered for both independent and dependent random variables. The goal is to prove ASCLT, 'logarithmic' limit theorems and related invariance principles for weakly dependent random variables.
Magda Peligrad (Advisor)
Mathematics; Statistics
LIMIT THEOREMS; DEPENDEND VARIABLES; ALMOST SURE CENTRAL LIMIT THEOREMS; LOGARITHMIC AVERAGE; G-MIXING, STRONG MIXING, ASSOCIATED VARIABLES

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Citations

  • Gonchigdanzan, K. (2001). ALMOST SURE CENTRAL LIMIT THEOREMS [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin990028192

    APA Style (7th edition)

  • Gonchigdanzan, Khurelbaatar. ALMOST SURE CENTRAL LIMIT THEOREMS. 2001. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin990028192.

    MLA Style (8th edition)

  • Gonchigdanzan, Khurelbaatar. "ALMOST SURE CENTRAL LIMIT THEOREMS." Doctoral dissertation, University of Cincinnati, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin990028192

    Chicago Manual of Style (17th edition)

ucin990028192
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© 2001, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.