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A functional limit theorem for partial sums of dependent random variables with infinite variance
convergence in distribution functional limit the-orem GARCH mixing moving average partial sum point processes reg-ular variation
2010/3/9
Under an appropriate regular variation condition, the affinely
normalized partial sums of a sequence of independent and identically dis-
tributed random variables converges weakly to a non-Gaussian ...
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables
Weak convergence the Brownian motion independent random variables
2009/9/23
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
Conditioned functional central limit theorem for random partial sums
Conditioned functional central limit theorem random partial sums
2009/9/23
Conditioned functional central limit theorem for random partial sums。
On complete convergence for partial sums of independent identically distributed random variables
complete convergence independent identically distributed random variables
2009/9/23
On complete convergence for partial sums of independent identically distributed random variables。
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables
the rate of convergence to Brownian motion the partial sums of infima
2009/9/23
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables。
Law of iterated logarithm for subsequences of partial sums which are in domain of partial attraction of a semistable law
Law of iterated logarithm subsequences domain of partial attraction semistable law
2009/9/21
Let (X,, n 2 1) be a sequence of independent identically
distributed random variables with a common distribution function
F and let S,, = xy=,Xj, n 2 1. When F belongs to the domain of
partial attr...
Some LIL type results on the partial sums and trimmed sums with multidimensional indices
random variable strong limit theorem LIL type result
2009/3/27
Let {X, Xn; n ∈ Nd} be a field of i.i.d. random variables indexed by d-tuples of positive integers and let Sn=∑k≤nXk. We prove some strong limit theorems for Sn. Also, when d≥ 2 and h(n) satisfies som...
Some LIL type results on the partial sums and trimmed sums with multidimensional indices
LIL type results partial sums trimmed sums
2009/3/23
Let {X, Xn; n ∈ Nd} be a field of i.i.d. random variables indexed by d-tuples of positive integers and let Sn=∑k≤nXk. We prove some strong limit theorems for Sn. Also, when d≥ 2 and h(n) satisfies som...