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Optimal significance analysis of microarray data in a class of tests whose null statistic can be constructed
TEST - Tập 21 - Trang 280-300 - 2011
Microarray data often consist of a large number of genes and a small number of replicates. We have examined testing the null hypothesis of equality of mean for detecting differentially expressed genes. The p-value for each gene is often estimated using permutation samples not only for the target gene but also for other genes. This method has been widely used and discussed. However, direct use of t......
A generalized Hosmer–Lemeshow goodness-of-fit test for a family of generalized linear models
TEST - - Trang 1-20 - 2023
Generalized linear models (GLMs) are very widely used, but formal goodness-of-fit (GOF) tests for the overall fit of the model seem to be in wide use only for certain classes of GLMs. We develop and apply a new goodness-of-fit test, similar to the well-known and commonly used Hosmer–Lemeshow (HL) test, that can be used with a wide variety of GLMs. The test statistic is a variant of the HL statisti......
Reweighted least trimmed squares: an alternative to one-step estimators
TEST - Tập 22 - Trang 514-533 - 2013
A new class of robust regression estimators is proposed that forms an alternative to traditional robust one-step estimators and that achieves the
$\sqrt{n}$
rate of convergence irrespective of the initial estimator under a wide range of distributional assumptions. The proposed reweighted least trimmed sq......
Goodness-of-fit test for a parametric survival function with cure fraction
TEST - Tập 29 - Trang 768-792 - 2019
We consider the survival function for univariate right-censored event time data, when a cure fraction is present. This means that the population consists of two parts: the cured or non-susceptible group, who will never experience the event of interest versus the non-cured or susceptible group, who will undergo the event of interest when followed up sufficiently long. When modeling the data, a para......
On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
TEST - Tập 30 - Trang 83-102 - 2020
In this correspondence, for a nonnegative regular summability matrix B and an array
$$\left\{ a_{nk}\right\} $$
of real numbers, the concept of B-statistical uniform integrability of a sequence of random variables
$$\left\{ X_{k......
A statistical view of iterative methods for linear inverse problems
TEST - Tập 17 - Trang 381-400 - 2007
In this article, we study the problem of recovering the unknown solution of a linear ill-posed problem, via iterative regularization methods, from a statistical point of view. The basic purpose of the paper is to develop adaptive model selection techniques for determining the regularization parameters, i.e., the iteration index. We assume observations are taken over a fixed grid and we consider s......
Correction to: On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
TEST - Tập 30 - Trang 1076-1077 - 2021
Moderate deviations for M-estimators
TEST - Tập 11 - Trang 465-500 - 2002
General sufficient conditions for the moderate deviations of M-estimators are presented. These results are applied to many different types of M-estimators such as thep-th quantile, the spatial median, the least absolute deviation estimator in linear regression, maximum likelihood estimators and other location estimators. Moderate deviations theorems from empirical processes are applied.
Tổng số: 787
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