A Weak Invariance Principle with Applications to Domains of Attraction
نویسندگان
چکیده
منابع مشابه
stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation
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Comparison between criteria leading to the weak invariance principle
Abstract. The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposition developed by Gordin in Dokl. Akad. Nauk SSSR 188 (1969), the projective criterion introduced by Dedecker in Probab. Theory Related Fields 110 (1998), which was subsequently improved by Dedecker and Rio i...
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15 صفحه اولThe invariance principle for linear processes with applications
Let Xt be a linear process defined by [refer paper], where [refer paper] is greater than or equal to 0 is a sequence of real numbers and (ek, k = 0, plus or minus 1, plus or minus 2, ...) is a sequence of random variables. Two basic results, on the invariance principle of the partial sum process of the Xt converging to a standard Wiener process on [0,1], are presented in this paper. In the firs...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1978
ISSN: 0091-1798
DOI: 10.1214/aop/1176995574