Article
Health Care Sciences & Services
Chew-Seng Chee, Il Do Ha, Byungtae Seo, Youngjo Lee
Summary: The paper proposes a nonparametric maximum likelihood method for a general class of nonparametric frailty models, demonstrating the effectiveness of the proposed method in improving the accuracy and robustness of regression coefficient estimation under various frailty distributions.
STATISTICAL METHODS IN MEDICAL RESEARCH
(2021)
Article
Mathematics
Suad Alhihi, Maalee Almheidat
Summary: This paper investigates the statistical inference, bias, mean square error, and construction of confidence intervals for Pianka's overlap coefficient in two exponential populations.
Article
Computer Science, Theory & Methods
Chew-Seng Chee, Byungtae Seo
Summary: This paper further explores the maximum likelihood method for density deconvolution under the constraint of k-monotonicity. By introducing a reparameterized mixture model and a tuning parameter, we address the issue of unboundedness in the likelihood function and establish the consistency of the maximum likelihood estimator in the presence of measurement error.
STATISTICS AND COMPUTING
(2022)
Article
Mathematics
Luis Carlos Mendez-Gonzalez, Luis Alberto Rodriguez-Picon, Manuel Ivan Rodriguez Borbon, Hansuk Sohn
Summary: This paper presents a statistical distribution, named Chen-Perks distribution (CPD), which can describe failure rates with both monotonic and non-monotonic behaviors, as well as the bathtub curve in reliability engineering. The CPD is derived from the hazard functions of the Chen distribution and the Perks distribution. Statistical properties of the CPD in the context of reliability engineering are introduced to attract practitioners in the field. The parameters of the CPD are estimated using the maximum likelihood estimator. Comparative analysis is conducted to compare the behavior of the CPD with other distributions for describing the bathtub curve in three study cases. The results show that the CPD can provide competitive results for practitioners to consider in reliability analysis.
Article
Statistics & Probability
Jing Luo, Hong Qin, Weifeng Wang, Jun Wang
Summary: This paper establishes the asymptotic normality of a fixed number of maximum likelihood estimators in a network model with degree heterogeneity and homophily, and further derives a central limit theorem for a linear combination of all maximum likelihood estimators of degree parameter with degree heterogeneity and homophily as the number of nodes approaches infinity. Simulation studies are provided to demonstrate the asymptotic results.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2021)
Review
Geography, Physical
Andrew Graber, Paul Santi
Summary: This study reviews the literature on rockfall frequency and conducts a meta-analysis of 46 rockfall inventories. The results suggest that rockmass condition, geology, and maximum inventory volume have significant relationships with the scaling exponent. Climate, data collection frequency, and method also influence the scaling exponent to some extent.
Article
Statistics & Probability
Chun-Lung Su, Pao-sheng Shen
Summary: This article investigates the conditional consistency of the MoNPMLE under the mixed case interval-censored model with left truncation, and explores its unconditional consistency through simulation study. The results show that the MoNPMLE is consistent and outperforms the NPMLE.
COMPUTATIONAL STATISTICS
(2021)
Article
Mathematics, Applied
Malkhaz Shashiashvili
Summary: This paper establishes a simple explicit upper bound for the quadratic risk of the Grenander estimator, and proves this conclusion is a direct result of an inequality valid with probability one.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
(2021)
Article
Statistics & Probability
Indrani Mukherjee, Sudhansu S. Maiti, Vijay Vir Singh
Summary: This article focuses on the estimation of the probability density function and cumulative distribution function of the one-parameter polynomial exponential family of distributions. Maximum likelihood and uniformly minimum variance unbiased estimators are discussed, and their performances are compared through Monte Carlo simulations and real data analysis.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2023)
Article
Statistics & Probability
Suchandan Kayal, Lakshmi Kanta Patra
Summary: In this study, the problem of estimating parameters of multiple exponential distributions under linex loss function was investigated. Both known and unknown location parameters were considered. A class of equivariant estimators was examined for both cases, and it was found that the equivariant estimators perform better than the usual estimators under certain conditions. The simulation study also showed the inadmissibility of the restricted maximum likelihood estimator.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2023)
Article
Mathematics
Guoping Zeng, Sha Tao
Summary: This paper investigates the effects of linear transformations in logistic regression. A generalized linear transformation for multiple variables is proposed using matrix multiplication. The study shows that an invertible linear transformation has no effects on predictions, multicollinearity, pseudo-complete separation, and complete separation.
Article
Mathematics, Applied
Santanu Dey, Nabakumar Jana
Summary: This paper introduces a class of estimators for the directional parameter of the Watson distribution, as well as methods for estimating parameters when they are known or unknown, and a test for equality of directional parameters in multiple Watson distributions. Classification rules for axial data and comparison of different rules through simulations are also provided.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Statistics & Probability
Lan Gao, Yingying Fan, Jinchi Lv, Qi-Man Shao
Summary: The paper addresses the underdeveloped issue of asymptotic null distribution for distance correlation in the realistic setting of both sample size and dimensionality diverging. It reveals the blessing of dimensionality phenomenon, showing that the accuracy of normal approximation can increase with dimensionality in high-dimensional distance correlation inference. The study also provides a general theory on the power analysis under the alternative hypothesis of dependence for rescaled distance correlation.
ANNALS OF STATISTICS
(2021)
Article
Multidisciplinary Sciences
I Laroussi, M. Madi
Summary: The purpose of this work is to present a novel mode of convergence, complete second-order moment convergence with rate, which gives better performances and is easier to obtain than the almost complete convergence for the nonparametric estimators with kernels of the density function, distribution function, and quantile function. The proposed approach imposes less conditions on the kernel function due to the use of the mean squared error expression.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
(2022)
Article
Mathematics
Kyeongjun Lee
Summary: This paper investigates the application of the inverse Weibull distribution (IWD) in reliability and medicine, particularly focusing on the uncertainty measure under the generalized adaptive progressive hybrid censoring (GAPHC) scheme. Classical estimators (MLE and MPSE) and Bayes estimators (BayEsts) are derived and compared using Monte Carlo simulation and real dataset analysis.
Article
Mathematics, Interdisciplinary Applications
Norman E. Breslow, Jie Hu, Jon A. Wellner
LIFETIME DATA ANALYSIS
(2015)
Article
Statistics & Probability
Charles R. Doss, Jon A. Wellner
ANNALS OF STATISTICS
(2016)
Article
Statistics & Probability
Qiyang Han, Jon A. Wellner
ANNALS OF STATISTICS
(2016)
Article
Statistics & Probability
Evan Greene, Jon A. Wellner
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2016)
Article
Statistics & Probability
Vladimir Koltchinskii, Richard Nickl, Sara van de Geer, Jon A. Wellner
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2016)
Article
Statistics & Probability
Lutz Dumbgen, Jon A. Wellner, Malcolm Wolff
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2016)
Article
Statistics & Probability
Yining Chen, Jon A. Wellner
ELECTRONIC JOURNAL OF STATISTICS
(2016)
Article
Statistics & Probability
Adrien Saumard, Jon A. Wellner
JOURNAL OF MULTIVARIATE ANALYSIS
(2018)
Article
Mathematics
Lutz Duembgen, Sara A. van de Geer, Mark C. Veraar, Jon A. Welber
AMERICAN MATHEMATICAL MONTHLY
(2010)
Article
Statistics & Probability
Hanna K. Jankowski, Jon A. Wellner
JOURNAL OF NONPARAMETRIC STATISTICS
(2009)
Article
Statistics & Probability
Fadoua Balabdaoui, Jon A. Wellner
STATISTICA NEERLANDICA
(2010)
Article
Mathematics
Fuchang Gao, Jon A. Wellner
CONSTRUCTIVE APPROXIMATION
(2017)
Article
Statistics & Probability
Jon A. Wellner
SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY
(2017)
Article
Statistics & Probability
Evan Greene, Jon A. Wellner
Proceedings Paper
Statistics & Probability
Jon A. Wellner
HIGH DIMENSIONAL PROBABILITY VII: THE CARGESE VOLUME
(2016)