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Many flexible families of positive random variables exhibit non-closed forms of the density and distribution functions and this feature is considered unappealing for modelling purposes. However, such families are often characterized by a…

Among the various models designed for dependent count data, integer-valued autoregressive (INAR) processes enjoy great popularity. Typically, statistical inference for INAR models uses asymptotic theory that relies on rather stringent…

统计方法学 · 统计学 2024-10-16 Maxime Faymonville , Carsten Jentsch , Christian H. Weiß

Unbinned maximum likelihood is a common procedure for parameter estimation. After parameters have been estimated, it is crucial to know whether the fit model adequately describes the experimental data. Univariate Goodness of Fit procedures…

应用统计 · 统计学 2011-02-14 Giulio Palombo

Goodness-of-fit tests are often used in data analysis to test the agreement of a distribution to a set of data. These tests can be used to detect an unknown signal against a known background or to set limits on a proposed signal…

统计方法学 · 统计学 2023-03-20 Lolian Shtembari , Allen Caldwell

Significant progress has been made in developing identification and estimation techniques for missing data problems where modeling assumptions can be described via a directed acyclic graph. The validity of results using such techniques rely…

统计方法学 · 统计学 2023-06-13 Razieh Nabi , Rohit Bhattacharya

A general and relatively simple method for construction of multivariate goodness-of-fit tests is introduced. The proposed test is applied to elliptical distributions. The method is based on a characterization of probability distributions…

统计方法学 · 统计学 2022-06-22 Feifei Chen , M. Dolores Jiménez-Gamero , Simos Meintanis , Lixing Zhu

We introduce a new characterization of Pareto distribution and construct integral and supremum type goodness-of-fit tests based on it. Limiting distribution and large deviations of new statistics are described and their local Bahadur…

统计理论 · 数学 2014-08-21 K. Yu. Volkova

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

统计方法学 · 统计学 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song

A new approach to adaptive design of clinical trials is proposed in a general multiparameter exponential family setting, based on generalized likelihood ratio statistics and optimal sequential testing theory. These designs are easy to…

统计理论 · 数学 2011-05-25 Jay Bartroff , Tze Leung Lai

We consider the goodness of fit testing problem for stochastic differential equation with small diffiusion coefficient. The basic hypothesis is always simple and it is described by the known trend coefficient. We propose several tests of…

统计理论 · 数学 2009-03-27 Yury A. Kutoyants

In this paper we investigate the estimation of the unknown parameters of a competing risk model based on a Weibull distributed decreasing failure rate and an exponentially distributed constant failure rate, under right censored…

统计理论 · 数学 2021-01-12 Hamida Talhi , Hiba Aiachi , Nadji Rahmania

Equivalence testing, a fundamental problem in the field of distribution testing, seeks to infer if two unknown distributions on $[n]$ are the same or far apart in the total variation distance. Conditional sampling has emerged as a powerful…

数据结构与算法 · 计算机科学 2024-03-08 Diptarka Chakraborty , Sourav Chakraborty , Gunjan Kumar , Kuldeep S. Meel

This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various applications, distributed independence test is particularly…

统计理论 · 数学 2021-11-29 Sebastian Espinosa , Jorge F. Silva , Pablo Piantanida

We are giving one characterization result of exponential distribution using extropy of nth upper k-record value. We introduce test statistics based on the proposed characterization result that will be used to test exponentially. The…

应用统计 · 统计学 2023-01-10 Santosh Kumar Chaudhary , Nitin Gupta

We propose three test criteria each of which is appropriate for testing, respectively, the equivalence hypotheses of symmetry, of homogeneity, and of independence, with multivariate data. All quantities have the common feature of involving…

统计方法学 · 统计学 2023-11-09 Feifei Chen , Simos G. Meintanis , Lixing Zhu

We introduce a general framework for testing goodness-of-fit for Gaussian graphical models in both the low- and high-dimensional settings. This framework is based on a novel algorithm for generating exchangeable copies by conditioning on…

统计方法学 · 统计学 2025-01-07 Xiaotong Lin , Weihao Li , Fangqiao Tian , Dongming Huang

We consider testing statistical hypotheses about densities of signals in deconvolution models. A new approach to this problem is proposed. We constructed score tests for the deconvolution with the known noise density and efficient score…

统计理论 · 数学 2013-12-02 Mikhail Langovoy

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

统计理论 · 数学 2017-07-25 Abhik Ghosh , Ayanendranath Basu

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

统计计算 · 统计学 2012-03-20 Chanseok Park , Seong Beom Lee

The paper is devoted to tests for uniformity based on sum-functions of overlapping spacings, where the order of spacings can diverge to infinity as the sample size increases. In particular, it is shown that the asymptotic local power of…

统计理论 · 数学 2025-08-27 Sherzod M. Mirakhmedov