Mathematics, Statistics, and Physics
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Estimation of a starshaped distribution function
(Taylor & Francis LTD, 2017)A life distribution function (DF) F is said to be starshaped if F(x)/x is nondecreasing on its support. This generalises the model of a convex DF, even allowing for jumps. The nonparametric maximum likelihood estimation ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(Wichita State University, 201605)This dissertation compares several methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use ... 
Ages of 70 dwarfs of three populations in the solar neighborhood: considering O and C abundances in stellar models
(IOP Publishing Ltd, 20161215)Oxygen and carbon are important elements in stellar populations. Their behavior refers to the formation history of the stellar populations. C and O abundances would also obviously influence stellar opacities and the overall ... 
Recovery of timedependent volatility in option pricing model
(IOP Publishing Ltd, 20160929)In this paper we investigate an inverse problem of determining the timedependent volatility from observed market prices of options with different strikes. Due to the non linearity and sparsity of observations, an analytical ... 
Isotonic regression through the Merge and Chop Algorithm for application in statistical inference
(Wichita State University, 201605)In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ... 
Computation of Stokes waves using conformal mapping
(Wichita State University, 201605)In this paper we study the time dependent water wave problem for Stokes waves on water of infinite and finite depth using numerical conformal mapping techniques. We begin by briefly reviewing Fornberg's numerical conformal ... 
The effects of individual metal contents on isochrones for C, N, O, Na, Mg, Al, Si, and Fe
(IOP Publishing, 20160728)The individual characteristics of C, N, O, Na, Mg, Al, Si, and Fe on isochrones have been investigated in this study. Stellar models have been constructed for various mixtures in which the content of each element is changed ... 
FischerTropsch synthesis: effect of Cu, Mn and Zn addition on activity and product selectivity of cobalt ferrite
(Royal Society of Chemistry, 2016)The effect of Cu, Mn and Zn addition on cobalt ferrite was investigated for FischerTropsch synthesis (FTS). Oxalate coprecipitation followed by decomposition under inert conditions was used to obtain various metal ... 
Radial limits of bounded nonparametric prescribed mean curvature surfaces
(Pacific Journal of Mathematics, 20160622)Consider a solution f is an element of C2 (Omega)of a prescribed mean curvature equation div del f/root 1+vertical bar del f vertical bar(2) = 2H(x, f) in Omega, where Omega subset of R2 is a domain whose boundary ... 
Linear stability of Hill's vortex to axisymmetric perturbations
(Cambridge University Press, 201607)We consider the linear stability of Hill's vortex with respect to axisymmetric perturbations. Given that Hill's vortex is a solution of a freeboundary problem, this stability analysis is performed by applying methods of ... 
Numerical methods for RiemannHilbert problems in multiply connected circle domains
(Elsevier Science Inc., 20161201)RiemannHilbert problems in multiply connected domains arise in a number of applications, such as the computation of conformal maps. As an example here, we consider a linear problem for computing the conformal map from the ... 
Isotropic covariance matrix polynomials on spheres
(Taylor & Francis Group, 2016)This article characterizes the covariance matrix function of a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the sphere. By applying the characterization ... 
Construction industrial multivariate statistical analysis based on real estate market in USA
(Wichita State University, 20160429)This project mainly focus on how the land market value, in terms of GDP, CPI, construction cost index and unemployment rate, inflation rate, population and purchasing manage index, enables a relationship with the real ... 
Stochastic representations of isotropic vector random fields on spheres
(Taylor & Francis Group, 2016)A stochastic representation is derived for a vector random field that is stationary, isotropic, and mean square continuous on a sphere or unit circle. The established stochastic representation is an infinite series involving ... 
Nilsolitons of Htype in the Lorentzian setting
(Houston Journal of Mathematics, 2015)It is known that all leftinvariant pseudoRiemannian metrics on the threedimensional Heisenberg group H3 are algebraic Ricci solitons. We consider generalizations of Riemannian Htype, namely pseudoHtype and pHtype. ... 
On the relationship of continuity and boundary regularity in prescribed mean curvature dirichlet problems
(Pacific Journal of Mathematics, 20160303)In 1976, Leon Simon showed that if a compact subset of the boundary of a domain is smooth and has negative mean curvature, then the nonparametric least area problem with Lipschitz continuous Dirichlet boundary data has a ... 
Increasing stability in the inverse problem for the Schrödinger equation
(Wichita State University, 201512)The Schrödinger equation is a partial differential equation that describes how the quantum state of a physical system changes with time. It was formulated in late 1925 by the Austrian physicist Erwin Schrödinger. The study ... 
Hybrid basis scheme for computing electrostatic fields exterior to closetotouching discs
(Oxford University Press, 201604)This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of closetotouching discs. The method is presented in detail for the twodisc case. The ... 
Effect of H2S in syngas on the FischerTropsch synthesis performance of a precipitated iron catalyst
(Elsevier B.V., 20160305)The sulfur limit, the relationship between the sulfur added and the surface Fe atoms lost (Fe/S), and mechanism of sulfur poisoning were studied using an iron FischerTropsch synthesis (FTS) catalyst (100 Fe/5.1 Si/2.0Cu/3.0K). ... 
First measurement of muonneutrino disappearance in NOvA
(American Physical Society, 20160325)This paper reports the first measurement using the NOvA detectors of nu(mu) disappearance in a nu(mu) beam. The analysis uses a 14 ktonequivalent exposure of 2.74 x 10(20) protonsontarget from the Fermilab NuMI beam. ...