Article
Statistics & Probability
Qing He, Hsin-Hsiung Huang
Summary: This article introduces a method for spatiotemporal data analysis with massive zeros, which is widely used in epidemiology and public health. The method fits zero-inflated negative binomial models using a Bayesian framework and employs latent variables from Polya-Gamma distributions to improve computational efficiency.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
(2024)
Article
Computer Science, Interdisciplinary Applications
Blair Robertson, Chris Price
Summary: Spatial sampling designs are crucial for accurate estimation of population parameters. This study proposes a new design method that generates samples with good spatial spread and performs favorably compared to existing designs.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Computer Science, Theory & Methods
Tong Kang, Leifan Yan, Long Ye, Jun Li
Summary: This note solves an open problem proposed in the paper Kang et al. (2023) [9] by demonstrating the linearity of set-valued pan-integrals based on a fuzzy measure and the operations pair (+, center dot) through the subadditivity of the fuzzy measure. It also provides an example to show the necessity of the subadditivity condition for the linearity of set-valued pan-integrals. Furthermore, it introduces the pan-integral of set-valued functions based on a fuzzy measure and pan-operations pair (circle plus, circle times).
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
S. O. Mashchenko
Summary: This paper investigates a fuzzy matrix game with fuzzy sets of player strategies and proposes a method to construct a game value using Zadeh's extension principle and the approach to fuzzy matrix games. It is proved that the fuzzy sets of players strategies in a fuzzy matrix game generate a game value in the form of a type-2 fuzzy set on the real line.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Marzieh Shamsizadeh, Mohammad Mehdi Zahedi, Mohamad Javad Agheli Goki
Summary: In this paper, we study a new generalization for the notion of fuzzy automata, called hesitant L-fuzzy automaton (HLFA). The mathematics framework for the theory of HLFA is presented. Moreover, the concepts of hesitant L-fuzzy behavior and inverse hesitant L-fuzzy behavior recognized by a type of HLFA are introduced. Additionally, a minimal complete accessible deterministic hesitant L-fuzzy automaton is presented for recognizing any hesitant L-fuzzy language, and an algorithm is proposed to determine the states of the minimal hesitant L-fuzzy automaton along with its time complexity.
FUZZY SETS AND SYSTEMS
(2024)
Article
Statistics & Probability
Terry J. Lyons, Vlad Margarint, Sina Nejad
Summary: In this paper, we study a one-dimensional stochastic differential equation obtained by performing a random time change of the backward Loewner dynamics in H. We show the convergence of this equation towards its stationary measure in the sense of random ergodic averages. The density formula of the stationary measure reveals a phase transition at W = 8, which coincides with the change in behavior of the SLEW trace. By using convergence in total variation, we identify families of random times on which the law of the arguments of points under the backward SLEW flow converges to a closed form expression measure.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Statistics & Probability
John Hughes
Summary: This article presents inferential methods for the binomial proportion in a unified way, as variations on a conjugate-Bayesian theme. An overlooked interval emerges as the best-performing approximate interval for small samples. This approach is simple, intuitive, and illuminating, and may hold pedagogical value for instructors of advanced courses on statistical inference.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Statistics & Probability
Mario Lefebvre
Summary: This passage describes the analytical solution method for an Ornstein-Uhlenbeck process with Poissonian jumps, considering both exponentially and uniformly distributed jumps.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Statistics & Probability
Yunshi Gao
Summary: This paper studies the behavior of a particle systems on an Erdos-Renyi graph under large deviations and establishes the exponential equivalence between the systems and general interacting systems without random graphs. The results provide a foundation for the large deviations theory of particle systems.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Statistics & Probability
Dongzhou Huang
Summary: This paper studies the sets of visit times to points on the plane by a standard two-dimensional Brownian motion. The concept of logarithmic scale Minkowski dimension is introduced as a tool for measuring these sets. It is proved that almost surely there exists a point x such that the logarithmic scale Minkowski dimension of the set of visit times to x is 1.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xichen Mou, Dewei Wang
Summary: Human biomonitoring is a method of monitoring human health by measuring the accumulation of harmful chemicals in the body. To reduce the high cost of chemical analysis, researchers have adopted a cost-effective approach that combines specimens and analyzes the concentration of toxic substances in the pooled samples. To effectively interpret these aggregated measurements, a new regression framework is proposed by extending the additive partially linear model (APLM). The APLM is versatile in capturing the complex association between outcomes and covariates, making it valuable in assessing the complex interplay between chemical bioaccumulation and potential risk factors.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Statistics & Probability
David Itkin
Summary: In this study, we examine a new family of distributions called Generalized Rank Dirichlet distributions on the ordered simplex. We investigate their properties and propose simulation algorithms for random variates. The results can be applied to model capital distribution in financial markets and ranked order statistics of weight vectors.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Statistics & Probability
Guangshuo Zhou, Fengjiao Du, Shengjun Fan
Summary: This paper proves a general invariant representation theorem for generators of general time interval backward stochastic differential equations, where the generator has a quadratic growth in the unknown variable z and satisfies some stochastic growth conditions in the unknown variable y. This result unifies and strengthens some known results.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Computer Science, Interdisciplinary Applications
Ming-Hung Kao, Ping-Han Huang
Summary: Optimal designs for sparse functional data under the functional empirical component (FEC) settings are investigated. New computational methods and theoretical results are developed to efficiently obtain optimal exact and approximate designs. A hybrid exact-approximate design approach is proposed and demonstrated to be efficient through simulation studies and a real example.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Computer Science, Interdisciplinary Applications
Mateus Maia, Keefe Murphy, Andrew C. Parnell
Summary: The Bayesian additive regression trees (BART) model is a powerful ensemble method for regression tasks, but its lack of smoothness and explicit covariance structure can limit its performance. The Gaussian processes Bayesian additive regression trees (GP-BART) model addresses this limitation by incorporating Gaussian process priors, resulting in superior performance in various scenarios.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lili Yu, Yichuan Zhao
Summary: The classical accelerated failure time model is a linear model commonly used for right censored survival data, but it cannot handle heteroscedastic survival data. This paper proposes a Laplace approximated quasi-likelihood method with a continuous estimating equation to address this issue, and provides estimation bias and confidence interval estimation formulas.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2024)
Article
Statistics & Probability
Benito Pires
Summary: This article introduces an approach based on the energy function of Hopfield networks to obtain Lyapunov functions for a class of interacting reinforced stochastic processes. The method works for processes with finitely many 2-dimensional probability measures and can be applied to the study of the total stability of differential equations.
STATISTICS & PROBABILITY LETTERS
(2024)
Article
Computer Science, Theory & Methods
Gustave Bainier, Benoit Marx, Jean-Christophe Ponsart
Summary: The Nonlinear Sector Approach (NLSA) is a method to construct Takagi-Sugeno (T-S) models that precisely represent nonlinear systems with bounded nonlinearities. This paper generalizes the NLSA to polytopic and smooth convex bounding sets, providing new ways to reduce the conservatism of TS representations with interdependent scheduling parameters. Various Linear Matrix Inequalities (LMI) criteria are also provided for stability analysis of these models.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Yingfang Li, Xingxing He, Dan Meng, Keyun Qin
Summary: This paper presents an improved method for estimating the similarity between LR-type fuzzy numbers and compares it with existing methods. The proposed method overcomes the shortcomings of existing methods by considering the shape of LR-type fuzzy numbers.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Nicolas Madrid, Manuel Ojeda-Aciego
Summary: This paper continues the research on the properties of the f-indexes of inclusion and contradiction, and specifically demonstrates the relationship between the two concepts through the reformulated Aristotelian square of opposition.
FUZZY SETS AND SYSTEMS
(2024)
