Article
Computer Science, Software Engineering
Noah Peres, Andrew Ray Lee, Uri Keich
Summary: ShiftConvolvePoibin is a fast and exact method for computing the tail probability of a Poisson-binomial distribution (PBD). By employing an exponential shift, it ensures accuracy and immunity to significant relative errors when computing very small tail probabilities of the PBD. The accompanying R package is competitive with the fastest implementations for computing the entire PBD.
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
(2021)
Article
Mathematics
Sergei Nagaev, Vladimir Chebotarev
Summary: This study investigates the behavior of the tail of the binomial distribution in the case of the Poisson approximation. It introduces a new type of approximation and explores the scenarios where the parameter of the approximating Poisson law depends on the point of approximation, as well as when the parameter is equal to the mathematical expectation of the approximated binomial law. Error estimates are obtained in both cases, and conjectures are made about the refinement of known estimates for the Kolmogorov distance between binomial and Poisson distributions.
Article
Multidisciplinary Sciences
Allison T. Neal
Summary: The distribution of malaria parasite clones among hosts differs significantly from traditional statistical distributions, but is similar to zero-inflated modifications. There is a consistent excess of two-clone infections compared to one-clone infections. The bias introduced by the simple method for estimating MOI did not qualitatively alter the results.
Article
Mathematics, Applied
Mohamed S. Eliwa, Abhishek Tyagi, Bader Almohaimeed, Mahmoud El-Morshedy
Summary: In this article, the discrete version of the binomial exponential II distribution is proposed for modeling count data. The statistical properties and estimation methods of the proposed distribution are discussed. Simulation studies and real data analysis demonstrate the flexibility and usefulness of the new distribution.
Article
Computer Science, Interdisciplinary Applications
Miaomiao Su, Ruoyu Wang, Qihua Wang
Summary: This paper introduces a subsampling method for missing data estimation, focusing on the problem of estimating response mean. By using different-sized subsamples in two stages, the computational burden is reduced without compromising statistical accuracy. The asymptotic properties of the resulting estimator are established, and the optimal subsampling probability is derived.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2022)
Article
Mathematics
Sudip Roy, Ram C. C. Tripathi, Narayanaswamy Balakrishnan
Summary: The hypergeometric distribution is important for sampling without replacement. It has been applied in various fields, such as estimating population size, failure rate, and quality control. A new generalization of the hypergeometric distribution called COM-hypergeometric distribution is introduced and its characteristics are discussed. Statistical inference procedures are developed for the model parameters and demonstrated through Monte Carlo simulations.
Article
Computer Science, Artificial Intelligence
Qinyuan Wu, Yong Deng, Neal Xiong
Summary: This paper presents a new exponential negation method, known as geometric negation, and investigates some basic properties of this negation. It is found that the proposed exponential negation can lead the probability distribution to converge to a uniform distribution, and it converges faster compared to existing negation methods.
Article
Mathematics
Felix Almendra-Arao, Hortensia Reyes-Cervantes, Marcos Morales-Cortes
Summary: Confidence intervals are important tools for estimating binomial proportions in statistics, with the most well-known being the Wald and Clopper-Pearson intervals. However, these intervals are known to have shortcomings in terms of coverage probability and expected mean length, leading to the proposal of alternative intervals. In this study, we investigate the performance of several of these confidence intervals using a parametric family to estimate the parameter p. Instead of using the confidence intervals approach, our analysis is done through hypothesis tests. Our main goal is to identify values of c that yield better-performing tests and establish an optimal procedure.
Article
Mathematics
Robert Pethes, Levente Kovacs
Summary: Inhomogeneous random graphs are commonly used models for complex networks with varying connectivity. Computing the degree distribution of such networks is a fundamental problem with important applications. We propose an exact algorithm and an approximation method to compute the degree distribution of inhomogeneous random graphs using the Poisson binomial distribution. The exact algorithm utilizes the DFT-CF method, while the approximation method uses Poisson, binomial, and Gaussian distributions.
Article
Engineering, Electrical & Electronic
Nesrine Cherif, Mohamed Alzenad, Halim Yanikomeroglu, Abbas Yongacoglu
Summary: This paper analyzes the downlink coverage probability and rate of aerial users in vertical HetNets, finding that aerial users hovering at low altitudes tend to connect to aerial base stations in denser terrestrial environments. Despite using beamforming technology, the performance of aerial users in denser terrestrial networks still degrades substantially.
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS
(2021)
Article
Mathematics
Ausaina Niyomdecha, Patchanok Srisuradetchai
Summary: This paper proposes a new continuous three-parameter lifetime distribution called the complementary gamma zero-truncated Poisson distribution (CGZTP), which combines the distribution of the maximum of a series of independently identical gamma-distributed random variables with zero-truncated Poisson random variables. The properties of the proposed distribution, including proofs of its probability density function, cumulative distribution function, survival function, hazard function, and moments, are discussed. The unknown parameters are estimated using the maximum likelihood method, and their asymptotic properties are examined. Wald confidence intervals for the CGZTP parameters are constructed. Simulation studies evaluate the efficacy of parameter estimation, and three real-world data applications demonstrate the alternative distribution's suitability for fitting data.
Correction
Statistics & Probability
P. Borges, J. Rodrigues, N. Balakrishnan, J. Bazan
Summary: We have found that the results described in Remarks 1 and 2 are not valid due to the lack of marginal compatibility in the joint distribution given by Eq. (2) (Shmueli et al., 2005). The joint distribution of (Z(1),..., Z(m-1)) is not of the same form as the joint distribution of Z(i) (i = 1,..., m) with m replaced by (m - 1), which means that Sigma(m)(i=1) Z(i) does not have the same distribution as Sigma(m)(i=1) Z(i) (see Kadane, 2016). The authors express gratitude to Dr. Christian Weiss for bringing this point to our attention regarding Remarks 1 and 2. (c) 2014 Elsevier B.V. All rights reserved.
STATISTICS & PROBABILITY LETTERS
(2023)
Article
Mathematics
Jaime Israel Garcia-Garcia, Nicolas Alonso Fernandez Coronado, Elizabeth H. Arredondo, Isaac Alejandro Imilpan Rivera
Summary: With the increase in available probabilistic information and its usefulness for understanding the world, it has become necessary to promote probabilistic literate citizens. The binomial distribution is fundamental for understanding random phenomena and effective decision making and serves as a facilitator for understanding mathematical and probabilistic concepts. Understanding the historical development of the binomial distribution is crucial in effectively grasping its essence. By examining the problem situations, solution practices, and conflicts, we can identify five historical links to the binomial phenomenon.
Article
Construction & Building Technology
Wenpin Tang, Fengmin Tang
Summary: This article provides an expository overview of the Poisson binomial distribution, discussing lesser-known results and recent progress in areas such as polynomial geometry and distribution learning. The article also demonstrates the practical applications of the Poisson binomial machinery through various examples. Additionally, the paper presents open questions regarding the approximation of rational fractions of the Poisson binomial distribution.
ENERGY AND BUILDINGS
(2023)
Article
Ecology
Youhua Chen, Yongbin Wu, Jin Zhou, Wenyan Zhang, Hong-Da Lin, Xinke Liu, Kaiwen Pan, Tsung-Jen Shen, Zhifen Pan
Summary: The study utilizes a crossing-scale coefficient of variation (CCV) calculated from three diversity indices to measure the spatial distribution pattern of species, finding that CCV tends to be small for regular distribution, large for highly aggregate distribution, and intermediate for random distribution. The Gini-Simpson evenness index is the most insensitive among the indices, and the combination of CCV and evenness indices is recommended for exploring the overall spatial distributional pattern of a species under the quadrat-sampling scheme.
METHODS IN ECOLOGY AND EVOLUTION
(2021)
Review
Biochemistry & Molecular Biology
Hsiuying Wang
Summary: Parkinson's disease (PD) and Diabetes Mellitus (DM) have been shown to have a connection in recent studies. This link has been discussed in the literature in relation to different mechanisms. miRNAs play a crucial role in regulating insulin pathways, glucose absorption, and PD-related genes, making them a potential therapeutic target for both diseases.
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES
(2021)
Article
Immunology
Shih-Chen Fu, Ling-Chieh Shih, Pei-Hua Wu, Yi-Chen Hsieh, Chung-Han Lee, Sheng-Hsuan Lin, Hsiuying Wang
Summary: The study found that gut dysbiosis plays a critical role in the pathogenesis of constipation-related Parkinson's disease, mainly through the reduction of SCFA-producing bacteria. Mediation analysis showed that up to 76.56% of the impact of constipation on Parkinson's disease was mediated through intestinal microbial alteration.
FRONTIERS IN CELLULAR AND INFECTION MICROBIOLOGY
(2022)
Article
Immunology
Shih-Chen Fu, Chung-Han Lee, Yi-Chen Hsieh, Pei-Hua Wu, Sheng-Hsuan Lin, Hsiuying Wang
Summary: This study suggests that discomfort induced by entacapone may be related to shifts in microbial composition, leading to gastrointestinal problems and other side effects. Manipulation of gut microbiota could potentially reduce these unpleasant effects in the long term.
FRONTIERS IN CELLULAR AND INFECTION MICROBIOLOGY
(2022)
Review
Immunology
Hsiuying Wang
Summary: COVID-19 might induce anti-NMDA receptor encephalitis, but the risk is not high. This study reviewed the literature to explore the association between COVID-19 and anti-NMDA receptor encephalitis.
FRONTIERS IN IMMUNOLOGY
(2022)
Article
Biodiversity Conservation
Weishan Chen, Hsiuying Wang
Summary: This study introduces the concept of phylogenetic trees as a tool to represent evolutionary relationships between taxa. Different types of phylogenetic trees and the influence of nucleotide substitution models are discussed. The study proposes a method based on testing nucleotide substitution numbers to select trees and demonstrates its application using an example of Ebola virus.
Article
Multidisciplinary Sciences
Hsiuying Wang
Summary: This study derived the distance distribution of human miRNAs and investigated the association between these distances and diseases. It is the first research to provide the distance distribution of human miRNAs.
SCIENTIFIC REPORTS
(2022)
Article
Biochemistry & Molecular Biology
Hsiuying Wang, Ching Ho
Summary: MicroRNAs (miRNAs) play crucial roles in cell differentiation, development, gene regulation, and apoptosis. They have been identified as potential biomarkers for various diseases and can be used to explore disease associations. The phylogenetic tree analysis and distance distribution provide useful tools for investigating the similarity and association between different diseases and viruses.
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES
(2023)
Editorial Material
Polymer Science
Hsiuying Wang
Article
Statistics & Probability
Hsiuying Wang
Summary: This article reviews the tolerance intervals of the normal mixture distribution, the applications of the mixture distribution, and the control charts of the mixture distribution. It summarizes a rule for constructing modified two-sided tolerance intervals of the normal mixture distribution, which may be extended to general mixture distributions. The feasibility of using tolerance intervals to build control charts for mixture distributions is discussed, and a real data example of coronavirus disease 2019 is used to illustrate the method by linking the tolerance intervals to control charts.
WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS
(2023)
Review
Polymer Science
Hsiuying Wang
Summary: Collagen, the most abundant protein in our bodies, plays a crucial role in maintaining structural integrity. It has diverse functions, including skin regeneration, joint health, and bone strength. Recent research suggests that collagen may have a significant impact on the treatment of complex diseases associated with tissue damage and inflammation. Its versatile properties position collagen as a promising candidate for managing comorbid conditions.
Review
Biochemistry & Molecular Biology
Hsiuying Wang
Summary: MicroRNAs (miRNAs) play a critical role in the oxidative stress mechanisms of ageing diseases and can serve as potential biomarkers for the early detection of eye and brain degenerative diseases.
EXPERT REVIEWS IN MOLECULAR MEDICINE
(2023)
