Article
Computer Science, Theory & Methods
Hanbiao Yang, Zhongqiang Yang, Taihe Fan, Lin Yang
Summary: This paper discusses the topological structures on fuzzy numbers and their related sets, and investigates the continuity of weighted mean maps with respect to these structures. An application of the results is provided, demonstrating their practical significance.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Lifeng Li, Qinjun Luo
Summary: In this study, we investigate monotone comparative statics under interval uncertainty. We introduce interval-valued supermodular functions and interval-valued quasisupermodular functions with respect to a partial order relation on intervals. Moreover, we derive some sufficient conditions for monotone comparative statics under interval uncertainty. We also apply these results to analyze the monotone comparative statics of interval games with strategic complements.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Yongliang Yang, Guilong Liu, Qing Li, Choon Ki Ahn
Summary: This paper proposes a novel type of Nussbaum function to handle the feedback control design problem with multiple unknown time-varying control coefficients. By separately compensating the unknown control coefficients and combining with the fixed-time stability theory, the issue of mutual cancellation is resolved and Lyapunov stability analysis becomes feasible. The theoretical discussions and simulation experiments demonstrate the effectiveness of the presented design for continuous-time stochastic nonlinear dynamical systems.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Irina Perfilieva, Shokrollah Ziari, Rahele Nuraei, Thi Minh Tam Pham
Summary: The proposed approach uses the F-transform to construct an operational matrix for solving the Volterra integral equation. The transformed form of the equation reduces to a system of linear equations with a triangular matrix, making the numerical method efficient and low computational. The paper provides proofs of convergence, estimation of computational complexity, and compares the results with other methods using test cases.
FUZZY SETS AND SYSTEMS
(2024)
Article
Automation & Control Systems
Haifei Peng, Jian Long, Cheng Huang, Shibo Wei, Zhencheng Ye
Summary: This paper proposes a novel multi-modal hybrid modeling strategy (GMVAE-STA) that can effectively extract deep multi-modal representations and complex spatial and temporal relationships, and applies it to industrial process prediction.
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Narayan Choudhary, S. P. Tiwari, Shailendra Singh
Summary: This paper studies different compositions of (L-fuzzy) automata using category theory and introduces four different categories for the study. It shows that each category has specific properties and advances the existing categories in the field. The monoidal description of these categories enriches the fuzzy automata theory.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Mi Zhou, Ya-Jing Zhou, Jian-Bo Yang, Jian Wu
Summary: This study proposes a new dissimilarity measure for basic probability assignments (BPAs) in the Dempster-Shafer evidence structure, considering both distance measure and conflict belief. Comparative analysis demonstrates the applicability and validity of the proposed measure, which is further applied to multi-source data fusion and large-scale group decision making.
FUZZY SETS AND SYSTEMS
(2024)
Article
Statistics & Probability
Amel Saidi, Abdelghani Hamaz, Ouerdia Arezki
Summary: This article presents new theoretical results on estimation in nonlinear random field models. The authors focus on a two dimensionally indexed random coefficients autoregressive model and develop a maximum likelihood estimation procedure for estimating the unknown parameters. The authors also prove the strong consistency of the estimates. The results are applied to construct efficient estimates in a specific model.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Jean-Claude Malela-Majika, Marien A. Graham
Summary: This study explores the idea of designing nonparametric charting schemes by using lower percentile points of the unconditional run-length distribution to restrict the probability of unconditional early false alarms. The research indicates that bias in the Phase-I sample may lead to remarkably high rates of early false alarms.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Letter
Statistics & Probability
Reza Farhadian
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Jie Zhang, Yang Li, Ni Zhao, Zemin Zheng
Summary: This article discusses the widespread issue of corrupted data in many contemporary applications. It proposes a sparse modeling method based on L-0 regularization and efficiently solves the regularization problem using projection techniques. It proves the statistical properties of the proposed method under certain conditions and demonstrates its effectiveness through simulation studies.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Qiang Wu, Paul Vos
Summary: The article introduces the application of permutation inference distribution in multiple regression, which can be used for hypothesis testing and confidence interval construction with relatively low computational burden. The results show that PID confidence regions are asymptotically ellipsoidal and exact.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Xiaoliang Ling, Jiaojiao Zhang, Yinzhao Wei
Summary: This paper considers a reliability model for systems that fail due to degradation failure or catastrophic failure. The degradation process is modeled using a linear degradation path, and the catastrophic failure rate is dependent on the degradation rate. Firstly, stochastic comparisons are conducted between two systems with different stochastic orders for their respective degradation rate variables. Secondly, stochastic comparisons are conducted between two systems with different conditional catastrophic failure rates. Finally, examples are given using well-known models to demonstrate the validity of the results.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Longxiang Fang, Shuai Zhang, Jinling Lu
Summary: This paper investigates the k-out-of-n system with n independent parallel subsystems comprising dependent components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. The study discusses the reliability of the k-out-of-n systems by comparing two selection probabilities or two allocation policies in the sense of majorization order. Numerical examples are provided to illustrate the obtained results. Finally, some concluding remarks are made.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Lin Zhu, Feifei Yan
Summary: An estimated quadratic inference function method is developed for the analysis of multivariate failure time data, where the primary covariates are incomplete but the auxiliary covariates for them are available for the whole cohort subjects. This method improves the estimation efficiency under the marginal hazard model with common baseline hazard function by incorporating both the auxiliary information and the intra-cluster correlation between the failure times. Simulation studies demonstrate that the proposed method gains noticeable efficiency compared to other existing methods when the intra-cluster correlation is strong or moderate.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Siddhartha Chakraborty, Biswabrata Pradhan
Summary: This paper studies some properties of weighted survival extropy measure, introduces weighted extended survival extropy and its dynamic version, and investigates various properties of the proposed measures. Generalized inequalities related to weighted extended survival extropy are also studied. Non-parametric estimators of these measures are proposed and their asymptotic properties are investigated. The performance of the estimators is assessed through a simulation study. Finally, it is shown that the weighted survival extropy measure can be used in model discrimination and as an alternative risk measure.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Qiang Zhang, Lijun Wu
Summary: In this article, a robust optimal proportional reinsurance and investment problem is considered in a model with delay and dependent risks. The insurer aims to develop the optimal strategy by maximizing the expected exponential utility of the combination of historical performance and terminal wealth. The expressions of the optimal strategy and value function are explicitly obtained using stochastic dynamic programming technique.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Statistics & Probability
Liya Fu, Shuwen Hu, Jiaqi Li
Summary: Empirical likelihood (EL) is an effective nonparametric method that combines estimating equations flexibly and adaptively. A penalized EL method based on robust estimating functions is proposed for variable selection in a high-dimensional model, allowing the dimensions to grow exponentially with the sample size. The proposed method improves robustness and effectiveness in the presence of outliers or heavy-tailed data. Extensive simulation studies and a real data example demonstrate the enhanced variable selection accuracy when dealing with heavy-tailed data or outliers.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
(2024)
Article
Computer Science, Interdisciplinary Applications
Shaobo Jin, Youngjo Lee
Summary: Hierarchical generalized linear models are widely used for fitting random effects models, but the standard error estimators receive less attention. Current standard error estimation methods are not necessarily accurate, and a sandwich estimator is proposed to improve the accuracy of standard error estimation.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Statistics & Probability
Offer Kella
Summary: The paper characterizes the independence of the minimum value and the events of the two independent random variables. It shows that the minimum value is independent if and only if both random variables are distributed according to the same increasing function of two independent random variables.
STATISTICS & PROBABILITY LETTERS
(2024)
