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Complex scientific models where the likelihood cannot be evaluated present a challenge for statistical inference. Over the past two decades, a wide range of algorithms have been proposed for learning parameters in computationally feasible…

统计计算 · 统计学 2021-12-16 Aden Forrow , Ruth E. Baker

In this paper, we consider the problem of estimating parameters in a linear regression model. We propose a sequential learning procedure to determine the sample size for achieving a given small estimation risk, under the widely used…

统计方法学 · 统计学 2023-11-07 Jun Hu , Yan Zhuang , Shunan Zhao

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

机器学习 · 统计学 2025-08-26 Yuta Shikuri

The Birnbaum-Saunders distribution has been widely applied in several areas of science and although several methodologies related to this distribution have been proposed, the problem of determining the optimal sample size for estimating its…

统计方法学 · 统计学 2020-07-27 Eliardo G. Costa , Manoel Santos-Neto

We tackle the problem of the estimation of a vector of means from a single vector-valued observation $y$. Whereas previous work reduces the size of the estimates for the largest (absolute) sample elements via shrinkage (like James-Stein) or…

统计方法学 · 统计学 2015-03-19 Stephen Reid , Jonathan Taylor , Robert Tibshirani

In this paper, we derive an explicit sample size formula based a mixed criterion of absolute and relative errors for estimating means of Poisson random variables.

统计理论 · 数学 2008-04-21 Xinjia Chen

We study full Bayesian procedures for high-dimensional linear regression. We adopt data-dependent empirical priors introduced in [1]. In their paper, these priors have nice posterior contraction properties and are easy to compute. Our paper…

统计理论 · 数学 2022-02-14 Xiao Fang , Malay Ghosh

Score-based tests have been used to study parameter heterogeneity across many types of statistical models. This chapter describes a new self-normalization approach for score-based tests of mixed models, which addresses situations where…

统计方法学 · 统计学 2023-06-13 Ting Wang , Edgar Merkle

Contemporary statistical publications rely on simulation to evaluate performance of new methods and compare them with established methods. In the context of meta-analysis of log-odds-ratios, we investigate how the ways in which simulations…

统计方法学 · 统计学 2020-07-06 Elena Kulinskaya , David C. Hoaglin , Ilyas Bakbergenuly

The development of a new diagnostic test ideally follows a sequence of stages which, amongst other aims, evaluate technical performance. This includes an analytical validity study, a diagnostic accuracy study and an interventional clinical…

We propose novel methodology for testing equality of model parameters between two high-dimensional populations. The technique is very general and applicable to a wide range of models. The method is based on sample splitting: the data is…

统计方法学 · 统计学 2013-01-17 Nicolas Städler , Sach Mukherjee

Model selection in non-linear models often prioritizes performance metrics over statistical tests, limiting the ability to account for sampling variability. We propose the use of a statistical test to assess the equality of variances in…

机器学习 · 统计学 2025-09-16 Argimiro Arratia , Alejandra Cabaña , Ernesto Mordecki , Gerard Rovira-Parra

It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level. In this paper, we investigate such…

统计理论 · 数学 2007-08-02 Xinjia Chen

We generalize the method of surrogate data of testing for nonlinearity in time series to the case that the data are sampled with uneven time intervals. The null hypothesis will be that the data have been generated by a linear stochastic…

chao-dyn · 物理学 2009-10-31 Andreas Schmitz , Thomas Schreiber

To examine the effect of exponential, Weibull and Gompertz distributions on sample size determination for superiority trials (STs) or non-inferiority trials (NTs) with time-to-event data, we present two sample size formulas for STs or NTs…

应用统计 · 统计学 2021-06-22 Dong Han , Yawen Hou , Zheng Chen

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

统计计算 · 统计学 2014-08-01 Manuela Cattelan , Nicola Sartori

Stemming from the high profile publication of Nissen and Wolski (2007) and subsequent discussions with divergent views on how to handle observed zero-total-event studies, defined to be studies which observe zero events in both treatment and…

统计方法学 · 统计学 2023-10-23 Xiaolin Chen , Jerry Q Cheng , Lu Tian , Minge Xie

Adapting the final sample size of a trial to the evidence accruing during the trial is a natural way to address planning uncertainty. Designs with adaptive sample size need to account for their optional stopping to guarantee strict type-I…

In presence of nuisance parameters, profile likelihood inference is often unreliable and biased, particularly in small sample scenario. Over past decades several adjustments have been proposed to modify profile likelihood function in…

统计理论 · 数学 2016-03-29 Md. Mazharul Islam , Md Hasinur Rahaman Khan

The objective of many high-dimensional microarray and RNA-seq studies is to develop a classifier of cancer patients based on characteristics of their disease. The germinal center B-cell (GCB) classifier study in lymphoma and the National…

应用统计 · 统计学 2015-09-17 Sandra Safo , Xiao Song , Kevin K. Dobbin