A moderate deviation for associated random variables

Maximal Inequalities for Associated Random Variables

In a celebrated work by Shao [13] several inequalities for negatively associated random variables were proved. In this paper we obtain some maximal inequalities for associated random variables. Also we establish a maximal inequality for demimartingales which generalizes and improves the result of Christofides [4].

Moderate Deviation Principles for Trajectories of Sums of Independent Banach Space Valued Random Variables

Let {Xn} be a sequence of i.i.d. random vectors with values in a separable Banach space. Moderate deviation principles for trajectories of sums of {Xn} are proved, which generalize related results of Borovkov and Mogulskii (1980) and Deshayes and Picard (1979). As an application, functional laws of the iterated logarithm are given. The paper also contains concluding remarks, with examples, on e...

maximal inequalities for associated random variables

in a celebrated work by shao [13] several inequalities for negatively associated random variables were proved. in this paper we obtain some maximal inequalities for associated random variables. also we establish a maximal inequality for demimartingales which generalizes and improves the result of christofides [4].

Moderate deviations for stationary sequences of bounded random variables

In this paper we are concerned with the moderate deviation principle for the normalized partial sums process Wn, considered as an element of D([0, 1]) (functions on [0, 1] with left-hand limits and continuous from the right), equipped with the Skorohod topology (see Section 14 in Billingsley (1968) for the description of the topology on D([0, 1])). More exactly, we say that the family of random...

Dominated Convergence for Fuzzy Random Variables