A central limit theorem for randomly indexed m-dependent random variables | Zendy

Yilun Shang | Zendy

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A central limit theorem for randomly indexed m-dependent random variables

Author(s) -

Yilun Shang

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1204713s

Subject(s) - mathematics , central limit theorem , sequence (biology) , limit (mathematics) , random variable , donsker's theorem , simple (philosophy) , combinatorics , illustration of the central limit theorem , exchangeable random variables , discrete mathematics , convergence of random variables , sum of normally distributed random variables , picard–lindelöf theorem , mathematical analysis , statistics , fixed point theorem , danskin's theorem , philosophy , genetics , epistemology , biology

Inthisnote,weproveacentrallimittheoremforthesumofarandomnumberNn ofm-dependent randomvariables. ThesequenceNn andthetermsinthesumarenotassumedtobeindependent. Moreover, the conditions of the theorem are not stringent in the sense that a simple moving average sequence serves as an example.

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