Article
Biochemical Research Methods
Yan Liu, Hao Liang, Quan Zou, Zengyou He
Summary: The identification of essential proteins is an important problem in bioinformatics. Existing methods have limitations in providing context-free and easily interpretable quantifications of centrality values, specifying proper thresholds, and controlling the quality of reported essential proteins. To overcome these limitations, this study formulates the essential protein discovery problem as a multiple hypothesis testing problem and presents a significance-based method named SigEP. Experimental results demonstrate that SigEP outperforms competing algorithms.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2022)
Article
Multidisciplinary Sciences
Raul Alejandro Moran-Vasquez, Alejandro Roldan-Correa, Daya K. Nagar
Summary: We propose a new multivariate skewed distribution with positive support, called the quantile-based multivariate log-normal distribution, which has interpretable parameters in terms of marginal quantiles and associations between variables. We derive various statistical properties of this distribution, such as transformations, mixed moments, expected value, covariance matrix, mode, Shannon entropy, and Kullback-Leibler divergence. We also discuss parameter estimation and evaluate the model fitting using Mahalanobis-type distances, with an application to children data.
Editorial Material
Entomology
Edward D. Walker, Thomas M. Yuill
Summary: Snowshoe hare virus (SSHV) is a closely related virus to LaCrosse virus (LACV) and Chatanga virus (CHATV), primarily infecting snowshoe hares and ground squirrels, and transmitted by mosquitoes. Human and domestic animal exposure to SSHV has been detected, with a low incidence of disease.
JOURNAL OF MEDICAL ENTOMOLOGY
(2023)
Article
Computer Science, Interdisciplinary Applications
Arun Srinivasan, Lingzhou Xue, Xiang Zhan
Summary: In microbiome studies, researchers face challenges in detecting statistical associations between microbial taxa and disease-related phenotypes due to the large number of taxa and complicated correlation structures. To address these limitations, a new multivariate regression model is proposed to detect associations between multiple responses and microbial features, boosting the power of discovery by considering correlations. The proposed method also ensures finite-sample false discovery rate control using the knockoff filter technique, and its validity and usefulness are demonstrated through simulation studies and application to real microbiome data.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2023)
Article
Statistics & Probability
D. Najarzadeh
Summary: In this study, a simple statistic for testing independence of components in a multivariate normal distribution was proposed and its effectiveness was verified through theoretical proof and simulation. The results demonstrated that the proposed test has good type I error rate control and comparable power to tests with smaller size distortions.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2021)
Article
Statistics & Probability
Yunlong Zhu
Summary: Motivated by microarray data analysis, this study focuses on estimating the row sparsity of the coefficient matrix in multivariate regression. A row-wise multiple testing procedure is proposed to gain high power and handle the correlation structure of the error vector. Asymptotic distribution of the test statistic and false discovery control are provided, and numerical results show the effectiveness of the method in simulation studies and real data analysis.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2022)
Article
Statistics & Probability
Robert E. Gaunt, Heather Sutcliffe
Summary: In this paper, Gaunt extended Stein's method to limit distributions that can be represented as a function of a centred multivariate normal random vector. Improved bounds were obtained for the case that the function has derivatives with polynomial growth. These bounds were then applied to obtain bounds for the Chi-square approximation of power divergence statistics.
JOURNAL OF THEORETICAL PROBABILITY
(2023)
Article
Energy & Fuels
Hari Mohan Srivastava, Ziad Khan, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Muhammad Jawad, Rashid Jan
Summary: The theoretical influence of buoyancy and thermal radiation on magnetohydrodynamic (MHD) flow across a stretchable porous sheet was analyzed in this study. The Darcy-Forchheimer model and laminar flow were used, along with the consideration of temperature-dependent heat source or sink, Brownian motion, and thermophoresis. The results showed a favorable comparison with earlier studies and demonstrated the effects of different physical parameters on velocity, temperature, and concentration fields. This model has important applications in various fields such as steel rolling, nuclear explosions, and solar power technology. The study also provided insights into the behavior of skin friction, Sherwood number, Nusselt number, and other parameters.
Article
Mathematics, Applied
Hare Krishna Nigam, Hari Mohan Srivastava, Swagata Nandy
Summary: In this paper, we determine the convergence rate of a function with two-dimensional variables in generalized Holder spaces using matrix means of its conjugate Fourier series. We also investigate the convergence rate of a function with N-dimensional variables in generalized Holder spaces using the same method, and deduce significant corollaries from our main results.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics
H. M. Srivastava, Sitaram Yadav, S. K. Upadhyay
Summary: This paper investigates the linear partial differential operators and generalized distributions associated with the Fourier transform using convolution properties. It examines various properties of the Weinstein transform on the generalized distributions and other spaces. The convolution properties of the generalized distributions associated with the Weinstein transform on the space D'(?)(Rn+1 (+)) are also discussed.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2023)
Correction
Mathematics
H. M. Srivastava, Sarem H. Hadi, Maslina Darus
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2023)
Article
Mathematics
Ekram E. Ali, Hari M. Srivastava, Abdel Moneim Y. Lashin, Abeer M. Albalahi
Summary: In this article, two new subclasses (aq, q) and (a, q) of meromorphic functions in the open unit disk U are introduced and studied using the q-binomial theorem. These subclasses refer to analytic functions in the punctured unit disk U-* = U \ {0} = {z : z ? C and 0 < |z| < 1}. The inclusion relations are derived and an integral operator that preserves functions in these function classes is investigated. Additionally, a strict inequality involving a newly introduced linear convolution operator is established, and special cases and corollaries of the main results are considered.
Article
Mathematics
Pishtiwan Othman Sabir, Hari Mohan Srivastava, Waggas Galib Atshan, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Miguel Vivas-Cortez
Summary: This paper presents a new general subfamily N-Sigma m(u,v) (eta,mu,gamma,l) of the family Sigma(m) that contains holomorphic normalized m-fold symmetric bi-univalent functions in the open unit disk D associated with the Ruscheweyh derivative operator. It provides estimates of the Taylor-Maclaurin coefficients |a(m+1)| and |a(2m+1)| for functions belonging to this family, and discusses the consequences of the results. The current findings extend and enhance recent studies in this field, and establish several connections with known results in specific scenarios.
Article
Mathematics
Hari M. Srivastava, Rogayeh Alavi, Saeid Shams, Rasoul Aghalary, Santosh B. Joshi
Summary: In this paper, we modify a famous theorem on the principle of differential subordination to apply to normalized analytic functions with fixed initial Taylor-Maclaurin coefficients. Using this modified form, we generalize and improve several recent results in the literature on the geometric function theory of complex analysis. We also prove simple conditions for starlikeness, convexity, and the strong starlikeness of several one-parameter families of integral operators, including a certain mu-convex integral operator and the familiar Bernardi integral operator.
Article
Mathematics
H. K. Nigam, H. M. Srivastava
Summary: This paper investigates the use of nonlinear diffusion for denoising audio signals by applying it to wavelet coefficients obtained from different filters. The results show a significant improvement in denoising compared to wavelet shrinkage.
Article
Mathematics, Interdisciplinary Applications
Mohammad Izadi, Hari Mohan Srivastava
Summary: This paper proposes two accurate and efficient spectral collocation techniques for handling a nonlinear fractional system in financial modeling with chaotic behavior. The techniques are based on a domain-splitting strategy, where the spectral method is applied locally in each subdomain. The methods use the generalized version of modified Bessel polynomials and a combination of quasilinearization method and direct numerical matrix method. Convergence theorem and error bounds are proved, and simulation results demonstrate the utility and applicability of the proposed techniques.
Article
Mathematics, Interdisciplinary Applications
Seng Huat Ong, Shin Zhu Sim, Shuangzhe Liu, Hari M. Srivastava
Summary: This paper introduces a flexible family of discrete distributions based on a finite mixture model for handling under-, equi- and over-dispersion in count data. The family is exemplified using a mixture of negative binomial and shifted negative binomial distributions, and their properties are derived. Hypothesis testing and simulation studies are performed to analyze the power and parameter estimation methods. The utility of the distributions is illustrated through their application to real biological data sets, showing better fit compared to well-known distributions like the generalized Poisson and COM-Poisson for different levels of dispersion in count data.
Article
Mathematics, Applied
H. M. Srivastava, Shakir Hussain Malik, M. I. Qureshi, Bilal Ahmad Bhat
Summary: This paper aims to establish four general double-series identities involving suitably-bounded sequences of complex numbers using zero-balanced terminating hypergeometric summation theorems and series rearrangement technique. The sum (or difference) of two general double hypergeometric functions of the Kampe 'de Fe' riet type are obtained in terms of a generalized hypergeometric function under appropriate convergence conditions. The paper also derives a closed form for the Clausen hypergeometric function -27z! 3F2 4(1-z)3 and a reduction formula for the Srivastava-Daoust double hypergeometric function with the arguments (z, -z4). Many of the reduction formulas are verified using Mathematica software program, and potential directions for further research are indicated.
Article
Mathematics, Applied
Raksha, H. M. Srivastava, N. V. Sayinath Udupa, B. R. Srivatsa Kumar
Summary: In this article, Shaun Cooper proved interesting 1i-function identities of level 6 while finding series and iterations for 1/pi, and presented new proofs of these identities. The author utilized the modular equation of degree 3 in two methods and provided combinatorial interpretations of colored partitions. The article also discussed the potential direction for further research based on recent developments involving Jacobi's triple-product identity, theta-function identities, and various q-functions.
Article
Mathematics, Interdisciplinary Applications
Hari M. M. Srivastava, Mohammad Izadi
Summary: In this manuscript, the author discusses the numerical solutions of a class of fractional-order differential equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in a circular cylindrical conduit. The nonlinearity of the underlying model is removed by the quasilinearization method (QLM), and a family of linearized equations is obtained. Through numerical simulations, it is shown that the proposed hybrid QLM-SAPSK approach is capable of tackling the inherit singularity at the origin and produces effective numerical solutions to the model problem with different nonlinearity parameters and two fractional order derivatives. The accuracy of the present technique is checked via the technique of residual error functions. The QLM-SAPSK technique is simple and efficient for solving the underlying electrohydrodynamic flow model, and the computational outcomes are accurate in comparison with those of numerical values reported in the literature.
FRACTAL AND FRACTIONAL
(2023)
Article
Chemistry, Multidisciplinary
Mohammad Izadi, Hari M. Srivastava
Summary: This paper presents a numerical treatment method for a class of boundary value problems with singularity and nonlinearity. The proposed technique combines spectral matrix technique and quasilinearization method, using a novel class of polynomials introduced by S.K. Chatterjea. The convergence analysis of the method is proven and numerical examples demonstrate its efficiency and flexibility in solving similar problems in science and engineering.
APPLIED SCIENCES-BASEL
(2023)
Article
Mathematics, Applied
Abdellatif Ben Makhlouf, Lassaad Mchiri, Hari Mohan Srivastava
Summary: This paper systematically discusses the existence and uniqueness of solutions to a family of proportional Liouville-Caputo fractional stochastic differential equations using the Banach fixed point technique. The stability of these equations is also investigated using classical techniques of stochastic calculus and the Banach fixed point technique. Two examples are presented to illustrate the main results.
BULLETIN DES SCIENCES MATHEMATIQUES
(2023)
Article
Statistics & Probability
Tsung- Lin, Wan-Lun Wang
Summary: This paper derives explicit expressions for the moments of truncated multivariate normal/independent distributions with supports confined within a hyper-rectangle. A Monte Carlo experiment is conducted to validate the proposed formulae for five selected members of the distributions.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Tao Qiu, Qintong Zhang, Yuanyuan Fang, Wangli Xu
Summary: This article introduces a method for testing the homogeneity of two random vectors. The method involves selecting two subspaces and projecting them onto one-dimensional spaces, using the Cramer-von Mises distance to construct the test statistic. The performance is enhanced by repeating this procedure and the effectiveness is demonstrated through numerical simulations.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Alfredo Alegria, Xavier Emery
Summary: This study contributes to covariance modeling by proposing new parametric families of isotropic matrix-valued functions that exhibit non-monotonic behaviors, such as hole effects and cross-dimples. The benefit of these models is demonstrated on a bivariate dataset of airborne particulate matter concentrations.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Kento Egashira, Kazuyoshi Yata, Makoto Aoshima
Summary: This study investigates the asymptotic properties of hierarchical clustering in different settings, including high-dimensional, low-sample-size scenarios. The results show that hierarchical clustering exhibits good asymptotic properties under practical settings for high-dimensional data. The study also extends the analysis to consider scenarios where both the dimension and sample size approach infinity, and generalizes the concept of populations in multiclass HDLSS settings.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Marlene Baumeister, Marc Ditzhaus, Markus Pauly
Summary: This paper introduces a more robust multivariate analysis method by using general quantiles, particularly the median, instead of the traditional mean, and applies and validates this method on various factorial designs. The effectiveness of this method is demonstrated through theoretical and simulation studies on small and moderate sample sizes.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Chuancun Yin, Narayanaswamy Balakrishnan
Summary: The family of multivariate skew-normal distributions has interesting properties, which also hold for a general class of skew-elliptical distributions.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)
Article
Statistics & Probability
Gaspard Bernard, Thomas Verdebout
Summary: In this paper, we address the problem of testing the relationship between the eigenvalues of a scatter matrix in an elliptical distribution. Using the Le Cam asymptotic theory, we show that the non-specification of nuisance parameters has an asymptotic cost for testing the relationship. We also propose a distribution-free signed-rank test for this problem.
JOURNAL OF MULTIVARIATE ANALYSIS
(2024)