14,134 research outputs found
Modern Ideologies and the Ned Kelly Myth: The Interpretation of The Ned Kelly Story in Jean Bedford’s Sister Kate
This paper studies the well-known contemporary, fictional story about Ned Kelly: Jean Bedford’s Sister Kate in 1982. It examines the representations of Ned Kelly in the novel and explores the social, cultural ideologies in its time. It approaches the topic by locating the texts' representations and discourses in relation to the cultural issues of the times it was produced in. Bedford’s new adaptations shed lights on Australia’s contemporary issues and its harsh colonial past.Key words: ideology; the Kelly legend; masculine myth; feminist view
Spectral statistics of large dimensional Spearman's rank correlation matrix and its application
Let be a random vector drawn from the uniform
distribution on the set of all permutations of . Let
, where is the mean zero variance one random
variable obtained by centralizing and normalizing , . Assume
that are i.i.d. copies of
and is the random matrix
with as its th row. Then is called the
Spearman's rank correlation matrix which can be regarded as a high dimensional
extension of the classical nonparametric statistic Spearman's rank correlation
coefficient between two independent random variables. In this paper, we
establish a CLT for the linear spectral statistics of this nonparametric random
matrix model in the scenario of high dimension, namely, and as . We propose a novel evaluation scheme to
estimate the core quantity in Anderson and Zeitouni's cumulant method in [Ann.
Statist. 36 (2008) 2553-2576] to bypass the so-called joint cumulant
summability. In addition, we raise a two-step comparison approach to obtain the
explicit formulae for the mean and covariance functions in the CLT. Relying on
this CLT, we then construct a distribution-free statistic to test complete
independence for components of random vectors. Owing to the nonparametric
property, we can use this test on generally distributed random variables
including the heavy-tailed ones.Comment: Published at http://dx.doi.org/10.1214/15-AOS1353 in the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
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