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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…

Statistics Theory · Mathematics 2025-06-09 Lucio Barabesi , Antonio Di Noia , Marzia Marcheselli , Caterina Pisani , Luca Pratelli

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…

Methodology · Statistics 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…

Applications · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Statistics Theory · Mathematics 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…

Methodology · Statistics 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…

Statistics Theory · Mathematics 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…

Statistics Theory · Mathematics 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…

Statistics Theory · Mathematics 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…

Data Structures and Algorithms · Computer Science 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…

Statistics Theory · Mathematics 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…

Applications · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Statistics Theory · Mathematics 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…

Statistics Theory · Mathematics 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…

Computation · Statistics 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…

Statistics Theory · Mathematics 2025-08-27 Sherzod M. Mirakhmedov