Strong law of large numbers for functionals of random fields with unboundedly increasing covariances

نویسندگان

چکیده

The paper proves the Strong Law of Large Numbers for integral functionals random fields with unboundedly increasing covariances. case functional data and domain asymptotics is studied. Conditions to guarantee that holds true are provided. considered scenarios include wide classes non stationary fields. discussion about application weak long-range dependent numerical examples given.

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ژورنال

عنوان ژورنال: Communications in Statistics

سال: 2021

ISSN: ['1532-415X', '0361-0926']

DOI: https://doi.org/10.1080/03610926.2020.1868515