By S. Ejaz Ahmed
This quantity conveys many of the surprises, puzzles and luck tales in high-dimensional and intricate info research and comparable fields. Its peer-reviewed contributions show off contemporary advances in variable choice, estimation and prediction innovations for a bunch of priceless types, in addition to crucial new advancements within the field.
The persevered and swift development of recent know-how now permits scientists to assemble facts of more and more unparalleled measurement and complexity. Examples comprise epigenomic information, genomic information, proteomic information, high-resolution photo info, high-frequency monetary info, practical and longitudinal info, and community info. Simultaneous variable choice and estimation is likely one of the key statistical difficulties enthusiastic about examining such sizeable and complicated data.
the aim of this booklet is to stimulate study and foster interplay among researchers within the zone of high-dimensional information research. extra concretely, its pursuits are to: 1) spotlight and extend the breadth of latest equipment in significant information and high-dimensional information research and their strength for the development of either the mathematical and statistical sciences; 2) determine vital instructions for destiny study within the conception of regularization equipment, in algorithmic improvement, and in methodologies for various program components; and three) facilitate collaboration among theoretical and subject-specific researchers.
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Extra info for Big and Complex Data Analysis. Methodologies and Applications
However, when the dimension p becomes larger than the sample size n, these two tests become invalid. That is because the two tests involve the estimator of the inverse sample covariance matrix, which becomes problematic for large p. To solve this problem, Geoman et al.  pioneered a score test statistic that has a quadratic form of the residuals of the null model and derived the asymptotic distribution in GLM with canonical link functions. Chen et al.  investigated the test of  and discovered that the high dimensionality can adversely impact the power of the test when the inverse of the link function in GLM is unbounded, for instance, the log link in the Poisson or Negative Binomial regression.
B Stat. Methodol. 67, 301–320 (2005) Empirical Likelihood Test for High Dimensional Generalized Linear Models Yangguang Zang, Qingzhao Zhang, Sanguo Zhang, Qizhai Li, and Shuangge Ma Abstract Technological advances allow scientists to collect high dimensional data sets in which the number of variables is much larger than the sample size. A representative example is genomics. Consequently, due to their loss of accuracy or power, many classic statistical methods are being challenged when analyzing such data.
5 for more details. In this RA study, we are interested in testing whether a large number of SNPs on chromosome 6 are associated with RA. Or equivalently, whether their regression coefficients in a GLM are simultaneously equal to zero. When p is fixed, there exist two popular multivariate tests: the likelihood ratio test and the Wald test. However, when the dimension p becomes larger than the sample size n, these two tests become invalid. That is because the two tests involve the estimator of the inverse sample covariance matrix, which becomes problematic for large p.