Keywords: دامنه جذابیت قانون عادی; 62M10; 60F05; Asymptotic normality; Conditional least squares estimator; Domain of attraction of the normal law; Random coefficient AR(1); Self-normalization;
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On the generalized domain of attraction of the multivariate normal law and asymptotic normality of the multivariate Student tt-statistic
Keywords: دامنه جذابیت قانون عادی; primary, 60E07, 62E20Generalized domain of attraction of the dd-variate normal law; Full random vector; Domain of attraction of the normal law; Slowly varying function at infinity; Sample correlation matrix; Cramér–Wold device; Spherically symmetric rando
Asymptotics for the residual-based bootstrap approximation in nearly nonstationary AR(1) models with possibly heavy-tailed innovations
Keywords: دامنه جذابیت قانون عادی; 60F05; 62F40; Asymptotic distribution; Domain of attraction of the normal law; m-out-of-n bootstrap; Nearly nonstationary;
Precise asymptotics in the law of the logarithm for the rescaled range statistic
Keywords: دامنه جذابیت قانون عادی; primary, 60F15; secondary, 60G50Precise asymptotics; Rescaled range statistic; Law of the logarithm; Domain of attraction of the normal law; Complete convergence; A.s. convergence
Strassen-type law of the iterated logarithm for self-normalized increments of sums
Keywords: دامنه جذابیت قانون عادی; Strassen-type law of the iterated logarithm; Self-normalized increments of sums; Domain of attraction of the normal law
A result on the almost sure convergence for the R/SR/S statistic
Keywords: دامنه جذابیت قانون عادی; Almost sure; R/SR/S statistic; Domain of attraction of the normal law; Brownian bridge
Functional central limit theorems for self-normalized least squares processes in regression with possibly infinite variance data
Keywords: دامنه جذابیت قانون عادی; primary, 62J05, 60F17; secondary, 60E07Simple linear regression; Domain of attraction of the normal law; Infinite variance; Slowly varying function at infinity; Studentized/self-normalized least squares estimator/process; Cholesky square root of a matrix;
An almost sure central limit theorem for self-normalized partial sums
Keywords: دامنه جذابیت قانون عادی; Almost sure; Central limit theorem; Self-normalized; Domain of attraction of the normal law
A note on unit root tests with heavy-tailed GARCH errors
Keywords: دامنه جذابیت قانون عادی; Heavy-tailed GARCH; Self-normalized sums; Domain of attraction of the normal law