Structural theorems for quasiasymptotics of distributions at infinity
نویسندگان
چکیده
منابع مشابه
Structural Theorems for Quasiasymptotics of Distributions at Infinity
Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are employed. The proposed analysis, based on the concept of asymptotically and associate asymptotically homogeneous functions, allows to obtain ea...
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For every N > 1, let X,X, X, * * be a real-valued stationary process, and let AX = Xn Xn. Suppose that E(AXn XN)= O(FN) and var(AXN xN)= O(TN), where eN and 7N are positive null sequences. Limiting distributions of XN as N oc are obtained for the cases tN = e N and 7N = o(eN). These results are established by an extension of a method due to Moran. The theory is illustrated by a variety of appli...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2008
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim0898159v