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Articles 1 - 15 of 15
Full-Text Articles in Physical Sciences and Mathematics
Functional Analysis Reveals G/U Pairs Critical For Replication And Trafficking Of An Infectious Non-Coding Viroid Rna, Jian Wu, Cuiji Zhou, James Li, Chun Li, Xiaorong Tao, Neocles B. Leontis, Craig L. Zirbel, David M. Bisaro, Biao Ding
Functional Analysis Reveals G/U Pairs Critical For Replication And Trafficking Of An Infectious Non-Coding Viroid Rna, Jian Wu, Cuiji Zhou, James Li, Chun Li, Xiaorong Tao, Neocles B. Leontis, Craig L. Zirbel, David M. Bisaro, Biao Ding
Mathematics and Statistics Faculty Publications
While G/U pairs are present in many RNAs, the lack of molecular studies to characterize the roles of multiple G/U pairs within a single RNA limits our understanding of their biological significance. From known RNA 3D structures, we observed that the probability a G/U will form a Watson-Crick (WC) base pair depends on sequence context. We analyzed 17 G/U pairs in the 359-nucleotide genome of Potato spindle tuber viroid (PSTVd), a circular non-coding RNA that replicates and spreads systemically in host plants. Most putative G/U base pairs were experimentally supported by selective 2'-hydroxyl acylation analyzed by primer extension (SHAPE). Deep …
A Three-Dimensional Rna Motif Mediates Directional Trafficking Of Potato Spindle Tuber Viroid From Epidermal To Palisade Mesophyll Cells In Nicotiana Benthamiana, Jian Wu, Neocles B. Leontis, Craig L. Zirbel, David M. Bisaro, Biao Ding
A Three-Dimensional Rna Motif Mediates Directional Trafficking Of Potato Spindle Tuber Viroid From Epidermal To Palisade Mesophyll Cells In Nicotiana Benthamiana, Jian Wu, Neocles B. Leontis, Craig L. Zirbel, David M. Bisaro, Biao Ding
Mathematics and Statistics Faculty Publications
Potato spindle tuber viroid (PSTVd) is a circular non-coding RNA of 359 nucleotides that replicates and spreads systemically in host plants, thus all functions required to establish an infection are mediated by sequence and structural elements in the genome. The PSTVd secondary structure contains 26 Watson-Crick base-paired stems and 27 loops. Most of the loops are believed to form three-dimensional (3D) structural motifs through non-Watson-Crick base pairing, base stacking, and other local interactions. Homology-based prediction using the JAR3D online program revealed that loop 27 (nucleotides 177-182) most likely forms a 3D structure similar to the loop of a conserved hairpin …
Exploring New Statistical Frontiers At The Intersection Of Survey Science And Big Data: Convergence At "Bigsurv18", Craig A. Hill, Paul Biemer, Trent Buskirk, Mario Callegaro, Analucía Córdova Cazar, Adam Eck, Lilli Japec, Antje Kirchner, Stas Kolenikov, Lars Lyberg, Patrick Sturgis
Exploring New Statistical Frontiers At The Intersection Of Survey Science And Big Data: Convergence At "Bigsurv18", Craig A. Hill, Paul Biemer, Trent Buskirk, Mario Callegaro, Analucía Córdova Cazar, Adam Eck, Lilli Japec, Antje Kirchner, Stas Kolenikov, Lars Lyberg, Patrick Sturgis
Mathematics and Statistics Faculty Publications
Held in October 2018, The Big Data Meets Survey Science conference, also known as “Big- Surv18,” provided a first-of-its-kind opportunity for survey researchers, statisticians, computer scientists, and data scientists to convene under the same roof. At this conference, scientists from multiple disciplines were able to exchange ideas about their work might influence and enhance the work of others. This was a landmark event, especially for survey researchers and statisticians, whose industry has been buffeted of late by falling response rates and rising costs at the same time as a proliferation of new tools and techniques, coupled with increasing availability of …
Statistical Inference For The Transformed Rayleigh Lomax Distribution With Progressive Type-Ii Right Censorship, Amani Alghami, Wei Ning, Arjun K. Gupta
Statistical Inference For The Transformed Rayleigh Lomax Distribution With Progressive Type-Ii Right Censorship, Amani Alghami, Wei Ning, Arjun K. Gupta
Mathematics and Statistics Faculty Publications
In this paper, we study the transformed Rayleigh Lomax (Trans-RL) distribution which belongs to a certain family of two parameters lifetime distributions given by Wang et al (2010). Confidence intervals and inverse estimators of the Trans-RL parameters are derived in terms of order statistics. A simulation study is conducted to report the coverage probabilities, the average biases and the average relative mean square errors for the maximum likelihood, L-moments and inverse estimators. We compare the performance of these methods under different schemes of progressively Type-II right censoring. Finally, an illustrative example is provided to demonstrate the proposed methods.
Estimation Of Zero-Inflated Population Mean: A Bootstrapping Approach, Khyam Paneru, R. Noah Padgett, Hanfeng Chen
Estimation Of Zero-Inflated Population Mean: A Bootstrapping Approach, Khyam Paneru, R. Noah Padgett, Hanfeng Chen
Mathematics and Statistics Faculty Publications
A mixture model was adopted from the maximum pseudo-likelihood approach under complex sampling designs to estimate the mean of zero-inflated population. To overcome the complexity and assumptions of asymptotic distribution, the maximum pseudolikelihood function was used, but a bootstrapping procedure was proposed as an alternative. Bootstrap confidence intervals consistently capture the true means of zero-inflated populations of the simulation studies.
The Kumaraswamy Skew-T Distribution And Its Related Properties, Wei Ning, Khamis K. Said, Doaa Basalamah, Arjun K. Gupta
The Kumaraswamy Skew-T Distribution And Its Related Properties, Wei Ning, Khamis K. Said, Doaa Basalamah, Arjun K. Gupta
Mathematics and Statistics Faculty Publications
Skew normal distribution has been introduced by Azzalini (1985) as an alternative to the normal distribution to accommodate asymmetry. Since then extensive studies have been done on applying Azzalini’s skewness mechanism to other well-known distributions, such as skew-t distribution which is more flexible and can better accommodate long tailed data than the skew normal one. Cordeiro and de Castro (2011) proposed a new class of distribution called the Kumaraswamy generalized distribution (Kw − F) which is capable of fitting skewed data that cannot be fitted well by existing distributions. Since then, the Kw −F distribution has been widely studied and …
Properties Of Matrix Variate Beta Type 3 Distribution, Arjun K. Gupta, Daya K. Nagar
Properties Of Matrix Variate Beta Type 3 Distribution, Arjun K. Gupta, Daya K. Nagar
Mathematics and Statistics Faculty Publications
We study several properties of matrix variate beta type 3 distribution. We also derive probability density functions of the product of two independent random matrices when one of them is beta type 3. These densities are expressed in terms of Appell’s first hypergeometric function F1 and Humbert’s confluent hypergeometric function Φ1 of matrix arguments. Further, a bimatrix variate generalization of the beta type 3 distribution is also defined and studied.
Unified Analysis Of Finite Volume Methods For Second Order Elliptic Problems, So-Hsiang Chou, Xiu Ye
Unified Analysis Of Finite Volume Methods For Second Order Elliptic Problems, So-Hsiang Chou, Xiu Ye
Mathematics and Statistics Faculty Publications
We establish a general framework for analyzing the class of finite volume methods which employ continuous or totally discontinuous trial functions and piecewise constant test functions. Under the framework, optimal order convergence in the H1 and L2 norms can be obtained in a natural and systematic way for classical finite volume methods and new finite volume methods such as discontinuous finite volume methods applied to second order elliptic problem
Pole Assignment For A Vibrating System With Aerodynamic Effect, J. N. Wang, So-Hsiang Chou, Y. C. Chen, W. W. Lin
Pole Assignment For A Vibrating System With Aerodynamic Effect, J. N. Wang, So-Hsiang Chou, Y. C. Chen, W. W. Lin
Mathematics and Statistics Faculty Publications
This paper deals with a pole assignment problem by single-input state feedback control arising from a one-dimensional vibrating system with aerodynamic effect. On the practical side, we derive explicit formulae for the required controlling force terms, which can reassign part of the spectrum to the desired values while leaving the remaining spectrum unchanged. On the mathematical side, unlike the classical Sturm–Liouville problem, our eigenvalue problem is associated with a cubic pencil with unbounded operators as coefficients and has many interesting new features, one of which is that a new controllability condition appears. This condition together with the known controllability condition …
Flux Recovery From Primal Hybrid Finite Element Methods, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
Flux Recovery From Primal Hybrid Finite Element Methods, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
Mathematics and Statistics Faculty Publications
A flux recovery technique is introduced and analyzed for the computed solution of the primal hybrid finite element method for second-order elliptic problems. The recovery is carried out over a single element at a time while ensuring the continuity of the flux across the interelement edges and the validity of the discrete conservation law at the element level. Our construction is general enough to cover all degreesof polynomialsand gridsof triangular or quadrilateral type. We illustrate the principle using the Raviart–Thomas spaces, but other well-known related function spaces such as the Brezzi–Douglas–Marini (BDM) or Brezzi–Douglas–Fortin–Marini (BDFM) space can be used as …
Sharp L2-Error Estimates And Superconvergence Of Mixed Finite Element Methods For Non-Fickian Flows In Porous Media, Richard E. Ewing, Yanping Lin, Tong Sun, Junping Wang, Shuhua Zhang
Sharp L2-Error Estimates And Superconvergence Of Mixed Finite Element Methods For Non-Fickian Flows In Porous Media, Richard E. Ewing, Yanping Lin, Tong Sun, Junping Wang, Shuhua Zhang
Mathematics and Statistics Faculty Publications
No abstract provided.
A General Framework For Constructing And Analyzing Mixed Finite Volume Methods On Quadrilateral Grids: The Overlapping Covolume Case, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
A General Framework For Constructing And Analyzing Mixed Finite Volume Methods On Quadrilateral Grids: The Overlapping Covolume Case, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
Mathematics and Statistics Faculty Publications
We present a general framework for constructing and analyzing finite volume methods applied to the mixed formulation of second-order elliptic problems on quadrilateral grids. The control volumes, or covolumes, in the grids overlap. An overlapping finite volume method of this type was first introduced by Russell in [T. F. Russell, Tech. report 3, Reservoir Simulation Research Corp., Tulsa, OK, 1995] and was tested for a variety of problems on rectangular and quadrilateral grids in [Z. Cai et al., Comput Geosci., 1 (1997), pp. 289–315]. Later in [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 37 (2000), pp. …
Conservative P1 Conforming And Nonconforming Galerkin Fems: Effective Flux Evaluation Via A Nonmixed Method Approach, So-Hsiang Chou, Shengrong Tang
Conservative P1 Conforming And Nonconforming Galerkin Fems: Effective Flux Evaluation Via A Nonmixed Method Approach, So-Hsiang Chou, Shengrong Tang
Mathematics and Statistics Faculty Publications
Given a P1 conforming or nonconforming Galerkin finite element method (GFEM) solution ph, which approximates the exact solution p of the diffusion-reaction equation −∇·K∇p + αp = f with full tensor variable coefficient K, we evaluate the approximate flux uh to the exact flux u = −K∇p by a simple but physically intuitive formula over each finite element. The flux is sought in the continuous (in normal component) or the discontinuous Raviart–Thomas space. A systematic way of deriving such a formula is introduced. This direct method retains local conservation property at the element level, typical of mixed methods (finite element …
Mixed Covolume Methods On Rectangular Grids For Elliptic Problems, So-Hsiang Chou, Do Y. Kwak
Mixed Covolume Methods On Rectangular Grids For Elliptic Problems, So-Hsiang Chou, Do Y. Kwak
Mathematics and Statistics Faculty Publications
We consider a covolume method for a system of first order PDEs resulting from the mixed formulation of the variable-coefficient-matrix Poisson equation with the Neumann boundary condition. The system may be used to represent the Darcy law and the mass conservation law in anisotropic porous media flow. The velocity and pressure are approximated by the lowest order Raviart-Thomas space on rectangles. The method was introduced by Russell [Rigorous Block- centered Discretizations on Irregular Grids: Improved Simulation of Complex Reservoir Systems, Reservoir Simulation Research Corporation, Denver, CO, 1995] as a control-volume mixed method and has been extensively tested by Jones [A …
Mixed Upwinding Covolume Methods On Rectangular Grids For Convection-Diffusion Problems, So-Hsiang Chou, Do Y. Kwak, Panayot S. Vassilevski
Mixed Upwinding Covolume Methods On Rectangular Grids For Convection-Diffusion Problems, So-Hsiang Chou, Do Y. Kwak, Panayot S. Vassilevski
Mathematics and Statistics Faculty Publications
We consider an upwinding covolume or control-volume method for a system of rst order PDEs resulting from the mixed formulation of a convection-di usion equation with a variable anisotropic di usion tensor. The system can be used to model the steady state of the transport of a contaminant carried by a °ow. We use the lowest order Raviart{Thomas space and show that the concentration and concentration °ux both converge at one-half order provided that the exact °ux is in H1()2 and the exact concentration is in H1(). Some numerical experiments illustrating the error behavior of the scheme are provided.