The tail index, indicating the degree of fatness of the tail distribution, is an important component of extreme value theory since it dominates the asymptotic distribution of extreme values such as the sample maximum. In this paper, we consider the problem of testing for a change in the tail index of time series data. As a test, we employ the cusum test and investigate its null limiting distrib...

Connected vehicle (CV) systems are subject to potential cyber attacks because of increasing connectivity between its different components, such as vehicles, roadside infrastructure, and traffic management centers. However, it is a challenge detect security threats in real-time develop appropriate or effective countermeasures for CV system the dynamic behavior attacks, high computational power r...

The global navigation satellite system (GNSS), as a high-time resolution and high-precision measurement technology, has been widely used in the field of deformation monitoring. Owing to influence uncontrollable factors, there are inevitably some abnormal data GNSS monitoring series. Thus, it is necessary detect identify series improve accuracy reliability disaster law analysis warning. Many met...

There is broad interest in the education community to shift surgical training from volume-based competency-based benchmarks. Cumulative sum (CUSUM) a method for tracking performance and identifying trainee proficiency that may prove useful facilitating training. The purpose of this study review CUSUM literature to: (1) provide an overview implementation, (2) examine capacity identify learning v...

The Bernoulli–Barnes polynomials are defined as a natural multidimensional extension of 21 the classical Bernoulli polynomials. Many of the properties of the Bernoulli polynomials 22 admit extensions to this new family. A specific expression involving the Bernoulli–Barnes 23 polynomials has recently appeared in the context of self-dual sequences. The work pre24 sented here provides a proof of t...

In this paper we discuss loosely Bernoulli for Zd actions. In particular, we prove that extensions of zero entropy, ergodic, loosely Bernoulli Zd actions are also loosely Bernoulli.

The mixture of Bernoulli distributions [6] is a technique that is frequently used for the modeling of binary random vectors. They differ from (restricted) Boltzmann Machines in that they do not model the marginal distribution over the binary data space X as a product of (conditional) Bernoulli distributions, but as a weighted sum of Bernoulli distributions. Despite the non-identifiability of th...