Comparison for upper tail probabilities of random series

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Tail probabilities for infinite series of regularly varying random vectors

A random vector X with representation X = ∑ j≥0 AjZj is considered. Here, (Zj) is a sequence of independent and identically distributed random vectors and (Aj) is a sequence of random matrices, ‘predictable’ with respect to the sequence (Zj). The distribution of Z1 is assumed to be multivariate regular varying. Moment conditions on the matrices (Aj) are determined under which the distribution o...

متن کامل

Efficient Simulation for Tail Probabilities of Gaussian Random Field Extrema

We are interested in computing tail probabilities for the maxima of smooth Gaussian random fields. In this paper, we discuss two special cases: random fields defined over a finite number of distinct point and fields with finite KarhunenLoève expansions. For the the first case we propose an importance sampling estimator which yields asymptotically zero relative error. Moreover, it yields a proce...

متن کامل

Approximate Tail Probabilities for the Maxima of Some Random Fields

For random walks {Sn} whose distribution can be embedded in an exponential family large deviation approximations are obtained for the probability that maxo 6 (i) conditionally given S^. and (ii) unconditionally. The method used in the conditional case seems applicable to maxima of a reasonably large class of random fields. For the unconditional probability a more special argu...

متن کامل

Asymptotic Tail Probabilities of Sums of Dependent Subexponential Random Variables

In this paper we study the asymptotic behavior of the tail probabilities of sums of dependent and real-valued random variables whose distributions are assumed to be subexponential and not necessarily of dominated variation. We propose two general dependence assumptions under which the asymptotic behavior of the tail probabilities of the sums is the same as that in the independent case. In parti...

متن کامل

Tail Probabilities for Regression Estimators

Estimators of regression coefficients are known to be asymptotically normally distributed, provided certain regularity conditions are satisfied. In small samples and if the noise is not normally distributed, this can be a poor guide to the quality of the estimators. The paper addresses this problem for small and medium sized samples and heavy tailed noise. In particular, we assume that the nois...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of the Korean Statistical Society

سال: 2013

ISSN: 1226-3192

DOI: 10.1016/j.jkss.2013.01.005