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Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are empirical L_1-type distances between the isotonic estimates,…

统计理论 · 数学 2015-03-17 Piet Groeneboom , Geurt Jongbloed

A test of the null hypothesis that a hazard rate is monotone nondecreasing, versus the alternative that it is not, is proposed. Both the test statistic and the means of calibrating it are new. Unlike previous approaches, neither is based on…

统计理论 · 数学 2007-06-13 Peter Hall , Ingrid Van Keilegom

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

We consider a likelihood ratio method for testing whether a monotone baseline hazard function in the Cox model has a particular value at a fixed point. The characterization of the estimators involved is provided both in the nondecreasing…

统计理论 · 数学 2013-04-05 Gabriela F. Nane

This paper introduces a local optimization-based approach to test statistical hypotheses and to construct confidence intervals. This approach can be viewed as an extension of bootstrap, and yields asymptotically valid tests and confidence…

统计方法学 · 统计学 2015-04-21 Shifeng Xiong

One of the most commonly used methods for forming confidence intervals for statistical inference is the empirical bootstrap, which is especially expedient when the limiting distribution of the estimator is unknown. However, despite its…

统计理论 · 数学 2020-11-24 Morgane Austern , Vasilis Syrgkanis

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

统计理论 · 数学 2026-01-28 Annika Betken , Herold Dehling

Asymptotic bootstrap validity is usually understood as consistency of the distribution of a bootstrap statistic, conditional on the data, for the unconditional limit distribution of a statistic of interest. From this perspective, randomness…

计量经济学 · 经济学 2025-10-09 Giuseppe Cavaliere , Iliyan Georgiev

This paper develops a novel nonparametric significance test based on a tailored nonparametric-type projected weighting function that exhibits appealing theoretical and numerical properties. We derive the asymptotic properties of the…

计量经济学 · 经济学 2026-02-18 Xiaojun Song , Jichao Yuan

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

统计方法学 · 统计学 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

The aim of this paper is to introduce a new type of test statistic for simple null hypothesis on one-dimensional ergodic diffusion processes sampled at discrete times. We deal with a quasi-likelihood approach for stochastic differential…

概率论 · 数学 2018-01-16 Alessandro De Gregorio , Stefano M. Iacus

We discuss a number of estimates of the hazard under the assumption that the hazard is monotone on an interval [0,a]. The usual isotonic least squares estimators of the hazard are inconsistent at the boundary points 0 and a. We use…

统计理论 · 数学 2011-02-22 Piet Groeneboom , Geurt Jongbloed

Motivated by global warming issues, we consider a time se- ries that consists of a nondecreasing trend observed with station- ary fluctuations, nonparametric estimation of the trend under monotonicity assumption is considered. The rescaled…

统计理论 · 数学 2008-12-18 Ou Zhao , Michael Woodroofe

Nonparametric regression problems with qualitative constraints such as monotonicity or convexity are ubiquitous in applications. For example, in predicting the yield of a factory in terms of the number of labor hours, the monotonicity of…

统计理论 · 数学 2023-11-21 Soham Mallick , Siddhaarth Sarkar , Arun Kumar Kuchibhotla

The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning the construction of the confidence interval and the test…

统计理论 · 数学 2017-10-30 Rajeshwari Majumdar , Suman Majumdar

We develop a novel continuous-time asymptotic framework for inference on whether the predictive ability of a given forecast model remains stable over time. We formally define forecast instability from the economic forecaster's perspective…

计量经济学 · 经济学 2018-12-04 Alessandro Casini

In this paper, we introduce a new method for testing the stationarity of time series, where the test statistic is obtained from measuring and maximising the difference in the second-order structure over pairs of randomly drawn intervals.…

统计方法学 · 统计学 2016-11-29 Haeran Cho

In this work, we revisit the one- and two-sample testing problems: binary hypothesis testing in which one or both distributions are unknown. For the one-sample test, we provide a more streamlined proof of the asymptotic optimality of…

信息论 · 计算机科学 2026-04-21 Arick Grootveld , Biao Chen , Venkata Gandikota

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

应用统计 · 统计学 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

We study nonparametric isotonic confidence intervals for monotone functions. In Banerjee and Wellner (2001) pointwise confidence intervals, based on likelihood ratio tests for the restricted and unrestricted MLE in the current status model,…

统计理论 · 数学 2015-02-17 Piet Groeneboom , Geurt Jongbloed
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