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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
Hironori Fujisawa, Takayuki Sakaguchi
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...... hiện toàn bộ
A generalized Hosmer–Lemeshow goodness-of-fit test for a family of generalized linear models
TEST - - Trang 1-20 - 2023
Nikola Surjanovic, Richard A. Lockhart, Thomas M. Loughin
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...... hiện toàn bộ
Reweighted least trimmed squares: an alternative to one-step estimators
TEST - Tập 22 - Trang 514-533 - 2013
Pavel Čížek
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...... hiện toàn bộ
Goodness-of-fit test for a parametric survival function with cure fraction
TEST - Tập 29 - Trang 768-792 - 2019
Candida Geerdens, Paul Janssen, Ingrid Van Keilegom
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...... hiện toàn bộ
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
Manuel Ordóñez Cabrera, Andrew Rosalsky, Mehmet Ünver, Andrei Volodin
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...... hiện toàn bộ
A statistical view of iterative methods for linear inverse problems
TEST - Tập 17 - Trang 381-400 - 2007
Ana K. Fermín, C. Ludeña
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...... hiện toàn bộ
Bandwidth selection in kernel density estimation for interval-grouped data
TEST - - 2017
Miguel Reyes, Mario Francisco‐Fernández, Ricardo Cao
Generalized mixtures of Weibull components
TEST - - 2014
Manuel Franco, N. Balakrishnan, Debasis Kundu, Juana-María Vivo
Testing for Poisson arrivals in INAR(1) processes
TEST - Tập 25 - Trang 503-524 - 2015
Sebastian Schweer, Christian H. Weiß
In the framework of integer-valued autoregressive processes of order 1 [INAR(1)], two new tests for the null hypothesis of Poisson-distributed innovations are developed. The tests focus on time reversibility, as this feature is shown to be satisfied exclusively by Poisson INAR(1) processes. The necessary asymptotic variances are explicitly calculated using the joint cumulants of these processes. T...... hiện toàn bộ
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