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We study the precise large deviations for ({S_{n}, n geq0}) in (1.1).
This paper investigates the precise large deviations for these partial sums (S_{n}), (ngeq1).
Now many studies of precise large deviations are focused on the dependent r.v.s.
Among them, Yang and Wang [32] consider the precise large deviations for extendedly negatively orthant dependent r.v.s, and Wang et al. [20] investigate the precise large deviations for WUOD and WLOD r.v.s.
Our method is much more elementary and does not use the classical treatment in the area of precise large deviation.
He et al. [10] established the asymptotic lower bounds of precise large deviations with non-negative and dependent random variables.
Similar(29)
A method and device for precise large-scale angular measurements in precision manufacturing is described.
Precise, large-area estimates at the level of precision required for REDD+ carbon stock monitoring are yet to be achieved however.
George Balanchine's 1961 "Raymonda Variations" demands daring, precise large-scale performing.
For the subexponential heavy-tailed case, we obtain a precise large-deviation formula; our method substantially relies on a martingale for the structure of our models.
As was remarked by a few researchers in the area, precise large-deviation results of size-dependent renewal risk models are particularly useful for evaluating some risk measures such as the conditional tail expectation of the aggregate amount of claims from a large insurance portfolio.
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