Recent Trends in Counterfeiting

Under the Reserve Bank Act 1959, the Reserve Bank has sole authority to issue banknotes in Australia. As such, a key responsibility of the Reserve Bank is to maintain public confidence in banknotes, so that they remain an effective payment mechanism and a secure store of wealth. This article examines how counterfeiting can impact on this confidence, and counterfeiting trends in Australia and overseas. The article also discusses the strategies the Reserve Bank employs to minimise the risks of counterfeiting and maintain public confidence in banknotes.Banknotes; Banknote counterfeiting; Currency

Feature significance for multivariate kernel density estimation

Multivariate kernel density estimation provides information about structure in data. Feature significance is a technique for deciding whether features-such as local extrema-are statistically significant. This paper proposes a framework for feature significance in d-dimensional data which combines kernel density derivative estimators and hypothesis tests for modal regions. For the gradient and curvature estimators distributional properties are given, and pointwise test statistics are derived. The hypothesis tests extend the two-dimensional feature significance ideas of Godtliebsen et al. [Godtliebsen, F., Marron, J.S., Chaudhuri, P., 2002. Significance in scale space for bivariate density estimation. Journal of Computational and Graphical Statistics 11, 1-21]. The theoretical framework is complemented by novel visualization for three-dimensional data. Applications to real data sets show that tests based on the kernel curvature estimators perform well in identifying modal regions. These results can be enhanced by corresponding tests with kernel gradient estimators.

Feature significance for multivariate kernel density estimation

Tarn Duong, Arianna Cowling, Inge Koch and M.P. Wandhttp://www.elsevier.com/wps/find/journaldescription.cws_home/505539/description#descriptio