A Cramér moderate deviation theorem for Hotelling’s $T^{2}$-statistic with applications to global tests

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

A large deviation theorem for U - pro

Cramér Type Moderate Deviation for the Maximum of the Periodogram with Application to Simultaneous Tests in Gene Expression Time Series

In this paper, Cramér type moderate deviations for the maximum of the periodogram and its studentized version are derived. The results are then applied to a simultaneous testing problem in gene expression time series. It is shown that the level of the simultaneous tests is accurate provided that the number of genes G and the sample size n satisfy G = exp(o(n)).

A General Large Deviation Approximation to One-parameter Tests a General Large Deviation Approximation to One-parameter Tests

An approximation of the large deviation type is derived for tests of one-dimensional hypotheses in a general regular parametric model, possibly with nuisance parameters. The test statistic is most conveniently represented as a modiied log likelihood ratio statistic, just as the r-statistic from Barndorr-Nielsen (1986). In fact, the statistic is identical to a version of r , except that a certai...

Moderate Deviation Asymptotics for Variable-Length Codes with Feedback

We consider data transmission across discrete memoryless channels (DMCs) using variable-length codes with feedback. We consider the family of such codes whose rates are ρN below the channel capacity C, where ρN is a positive sequence that tends to zero slower than the reciprocal of the square root of the expectation of the (random) blocklength N . This is known as the moderate deviations regime...