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We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local monotonicity on all scales simultaneously. We…

统计理论 · 数学 2015-03-19 Johannes Schmidt-Hieber , Axel Munk , Lutz Duembgen

Clustering methods such as k-means have found widespread use in a variety of applications. This paper proposes a formal testing procedure to determine whether a null hypothesis of a single cluster, indicating homogeneity of the data, can be…

计量经济学 · 经济学 2019-07-18 Andrew J. Patton , Brian M. Weller

In this paper, we propose a new test for the equality of several covariance functions for functional data. Its test statistic is taken as the supremum value of the sum of the squared differences between the estimated individual covariance…

统计方法学 · 统计学 2016-09-16 Jia Guo , Bu Zhou , Jin-Ting Zhang

In this article we prove a generalization of the Ejsmont characterization of the multivariate normal distribution. Based on it, we propose a new test for independence and normality. The test uses an integral of the squared modulus of the…

统计理论 · 数学 2023-05-30 Wiktor Ejsmont , Bojana Milošević , Marko Obradović

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because…

人工智能 · 计算机科学 2014-06-10 Florentin Smarandache

We consider goodness-of-fit tests for uniformity of a multinomial distribution by means of tests based on a class of symmetric statistics, defined as the sum of some function of cell-frequencies. We are dealing with an asymptotic regime,…

统计理论 · 数学 2022-11-03 Sherzod M Mirakhmedov

When analyzing data from randomized clinical trials, covariate adjustment can be used to account for chance imbalance in baseline covariates and to increase precision of the treatment effect estimate. A practical barrier to covariate…

统计方法学 · 统计学 2023-07-04 Chia-Rui Chang , Yue Song , Fan Li , Rui Wang

This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The test statistic is of CUSUM type, based on…

统计理论 · 数学 2011-05-04 Denys Pommeret , Mohamed Boutahar , Badih Ghattas

Central moments and cumulants are often employed to characterize the distribution of data. The skewness and kurtosis are particularly useful for the detection of outliers, the assessment of departures from normally distributed data,…

天体物理仪器与方法 · 物理学 2014-03-24 Lorenzo Rimoldini

In the classical two-sample problem, the conventional approach for testing distributions equality is based on the difference between the two marginal empirical distribution functions, whereas a test for independence is based on the contrast…

统计理论 · 数学 2018-06-14 Laura Dumitrescu , Estate V. Khmaladze

In this paper, we consider the sphericity test for a one-sample problem under high-dimensional two-step monotone incomplete data. Existing asymptotic expansions for the null distributions of the likelihood ratio test (LRT) statistic and…

统计理论 · 数学 2026-04-01 Tetsuya Sato , Tomoyuki Nakagawa

Missing data is an important challenge when dealing with high dimensional data arranged in the form of an array. In this paper, we propose methods for estimation of the parameters of array variate normal probability model from partially…

统计方法学 · 统计学 2015-01-06 Deniz Akdemir

We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass is, due to boundary or reaction terms, not conserved. After…

概率论 · 数学 2021-07-28 Greta Marino , Jan-Frederik Pietschmann , Alois Pichler

Information theory is built on probability measures and by definition a probability measure has total mass 1. Probability measures are used to model uncertainty, and one may ask how important it is that the total mass is one. We claim that…

信息论 · 计算机科学 2022-02-08 Peter Harremoës

A smooth test to simultaneously compare $K$ copulas, where $K \geq 2$ is proposed. The $K$ observed populations can be paired, and the test statistic is constructed based on the differences between moment sequences, called copula…

统计理论 · 数学 2023-12-07 Yves Ismaël Ngounou Bakam , Denys Pommeret

As the most important tool to provide high-level evidence-based medicine, researchers can statistically summarize and combine data from multiple studies by conducting meta-analysis. In meta-analysis, mean differences are frequently used…

统计方法学 · 统计学 2018-01-30 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

Knowing the error distribution is important in many multivariate time series applications. To alleviate the risk of error distribution mis-specification, testing methodologies are needed to detect whether the chosen error distribution is…

计量经济学 · 经济学 2020-08-04 Donghang Luo , Ke Zhu , Huan Gong , Dong Li

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

应用统计 · 统计学 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

The univariate quantile-quantile (Q-Q) plot is a well-known graphical tool for examining whether two data sets are generated from the same distribution or not. It is also used to determine how well a specified probability distribution fits…

统计理论 · 数学 2014-07-07 Subhra Sankar Dhar , Biman Chakraborty , Probal Chaudhuri

In public health applications, spatial data collected are often recorded at different spatial scales and over different correlated variables. Spatial change of support is a key inferential problem in these applications and have become…

统计方法学 · 统计学 2024-03-28 Shijie Zhou , Jonathan R. Bradley
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