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Full-Text Articles in Physical Sciences and Mathematics
Nonparametric Estimation Of The Cumulative Intensity Function For A Nonhomogeneous Poisson Process From Overlapping Realizations, Bradford L. Arkin, Lawrence Leemis
Nonparametric Estimation Of The Cumulative Intensity Function For A Nonhomogeneous Poisson Process From Overlapping Realizations, Bradford L. Arkin, Lawrence Leemis
Arts & Sciences Articles
A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations on an interval is extended here to include realizations that overlap. This technique does not require any arbitrary parameters from the modeler, and the estimated cumulative intensity function can be used to generate a point process for simulation by inversion.
Computing The Cumulative Distribution Function Of The Kolmogorov–Smirnov Statistic, John H. Drew, Andrew G. Glen, Lawrence Leemis
Computing The Cumulative Distribution Function Of The Kolmogorov–Smirnov Statistic, John H. Drew, Andrew G. Glen, Lawrence Leemis
Arts & Sciences Articles
We present an algorithm for computing the cumulative distribution function of the Kolmogorov–Smirnov test statistic Dn in the all-parameters-known case. Birnbaum (1952, J. Amer. Statist. Assoc. 47, 425–441), gives an n-fold integral for the CDF of the test statistic which yields a function defined in a piecewise fashion, where each piece is a polynomial of degree n. Unfortunately, it is difficult to determine the appropriate limits of integration for computing these polynomials. Our algorithm performs the required integrations in a manner that avoids calculating the same integrals repeatedly, resulting in shorter computation time. It can be used …
Totally Nonnegative Matrices, Shaun M. Fallat
Totally Nonnegative Matrices, Shaun M. Fallat
Dissertations, Theses, and Masters Projects
An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of every square submatrix (i.e., minor) of A is nonnegative (resp. positive). The class of totally nonnegative matrices has been studied considerably, and this class arises in a variety of applications such as differential equations, statistics, mathematical biology, approximation theory, integral equations and combinatorics. The main purpose of this thesis is to investigate several aspects of totally nonnegative matrices such as spectral problems, determinantal inequalities, factorizations and entry-wise products. It is well-known that the eigenvalues of a totally nonnegative matrix are nonnegative. However, there are many …
A Generalized Univariate Change-Of-Variable Transformation Technique, Andrew G. Glen, Lawrence Leemis, John H. Drew
A Generalized Univariate Change-Of-Variable Transformation Technique, Andrew G. Glen, Lawrence Leemis, John H. Drew
Arts & Sciences Articles
We present a generalized version of the univariate change-of-variable technique for transforming continuous random variables. Extending a theorem from Casella and Berger [1990. Statistical Inference, Wadsworth and Brooks/Cole, Inc., Pacific Grove, CA] for many-to-1 transformations, we consider more general univariate transformations. Specifically, the transformation can range from 1-to-1 to many-to-1 on various subsets of the support of the random variable of interest. We also present an implementation of the theorem in a computer algebra system that automates the technique. Some examples demonstrate the theorem's application.
Discrete-Time Linear And Nonlinear Aerodynamic Impulse Responses For Efficient Cfd Analyses, Walter A. Silva
Discrete-Time Linear And Nonlinear Aerodynamic Impulse Responses For Efficient Cfd Analyses, Walter A. Silva
Dissertations, Theses, and Masters Projects
This dissertation discusses the mathematical existence and the numerical identification of linear and nonlinear aerodynamic impulse response functions. Differences between continuous-time and discrete-time system theories, which permit the identification and efficient use of these functions, will be detailed. Important input/output definitions and the concept of linear and nonlinear systems with memory will also be discussed. It will be shown that indicial (step or steady) responses (such as Wagner's function), forced harmonic responses (such as Theodorsen's function or those from doublet lattice theory), and responses to random inputs (such as gusts) can all be obtained from an aerodynamic impulse response function. …
Computational Algebra Applications In Reliability, G Hartless, Lawrence Leemis
Computational Algebra Applications In Reliability, G Hartless, Lawrence Leemis
Arts & Sciences Articles
Reliability analysts are typically forced to choose between using an 'algorithmic programming language' or a 'reliability package' for analyzing their models and lifetime data. This paper shows that computational languages can be used to bridge the gap to combine the flexibility of a programming language with the ease of use of a package. Computational languages facilitate the development of new statistical techniques and are excellent teaching tools. This paper considers three diverse reliability problems that are handled easily with a computational algebra language: system reliability bounds; lifetime data analysis; and model selection.
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Dissertations, Theses, and Masters Projects
This dissertation presents results from three areas of applicable matrix analysis: structured eigenvectors, interlacing, and matrix completion problems. Although these are distinct topics, the structured eigenvector results provide connections.;It is a straightforward matrix calculation that if {dollar}\lambda{dollar} is an eigenvalue of A, x an associated structured eigenvector and {dollar}\alpha{dollar} the set of positions in which x has nonzero entries, then {dollar}\lambda{dollar} is also an eigenvalue of the submatrix of A that lies in the rows and columns indexed by {dollar}\alpha{dollar}. We present a converse to this statement and apply the results to interlacing and to matrix completion problems. Several corollaries …
On The Minimum Of Independent Geometrically Distributed Random Variables, Gianfranco Ciardo, Lawrence Leemis, David Nicol
On The Minimum Of Independent Geometrically Distributed Random Variables, Gianfranco Ciardo, Lawrence Leemis, David Nicol
Arts & Sciences Articles
The expectations E[X(1)], E[Z(1)], and E[Y(1)] of the minimum of n independent geometric, modified geometric, or exponential random variables with matching expectations differ. We show how this is accounted for by stochastic variability and how E[X(1)]/E[Y(1)] equals the expected number of ties at the minimum for the geometric random variables. We then introduce the “shifted geometric distribution”, and show that there is a unique value of the shift for which the individual shifted geometric and exponential random variables match expectations both individually and in …
Variate Generation For Nonhomogeneous Poisson Processes With Time Dependent Covariates, Li-Hsing Shih, Lawrence Leemis
Variate Generation For Nonhomogeneous Poisson Processes With Time Dependent Covariates, Li-Hsing Shih, Lawrence Leemis
Arts & Sciences Articles
Algorithms are developed for generating a sequence of event times from a nonhomogeneous Poisson process that is influenced by the values of covariates that vary with time. Closed form expressions for random variate generation are shown for several baseline intensity and link functions. Two specific models linking the baseline process to the general model are considered: the accelerated time model and the proportional intensity model. In the accelerated time model, the cumulative intensity function of a nonhomogeneous Poisson process under covariate effects is [formula], where z is a covariate vector, ⋀0(t) is the baseline cumulative intensity function and …
Completion Of Partial Operator Matrices, M.(Mihaly) Bakonyi
Completion Of Partial Operator Matrices, M.(Mihaly) Bakonyi
Dissertations, Theses, and Masters Projects
This work concerns completion problems for partial operator matrices. A partial matrix is an m-by-n array in which some entries are specified and the remaining are unspecified. We allow the entries to be operators acting between corresponding vector spaces (in general, bounded linear operators between Hilbert spaces). Graphs are associated with partial matrices. Chordal graphs and directed graphs with a perfect edge elimination scheme play a key role in our considerations. A specific choice for the unspecified entries is referred to as a completion of the partial matrix. The completion problems studied here involve properties such as: zero-blocks in certain …
A Structural Factoring Approach For Analyzing Probabilistic Networks, Kelly J. Hayhurst
A Structural Factoring Approach For Analyzing Probabilistic Networks, Kelly J. Hayhurst
Dissertations, Theses, and Masters Projects
No abstract provided.
Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling
Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling
Dissertations, Theses, and Masters Projects
No abstract provided.
Steepest Descent Techniques For Operator Equations, William T. Suit
Steepest Descent Techniques For Operator Equations, William T. Suit
Dissertations, Theses, and Masters Projects
No abstract provided.
A Study Of Unique Factorization Domains, James D. Harris
A Study Of Unique Factorization Domains, James D. Harris
Dissertations, Theses, and Masters Projects
No abstract provided.
Numerical Integration Of Systems With Large Frequency Ratios, James Thompson Howlett
Numerical Integration Of Systems With Large Frequency Ratios, James Thompson Howlett
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Solution To Partial Differential Equations By Means Of Bergman's Integral Operator, George R. Young
On The Solution To Partial Differential Equations By Means Of Bergman's Integral Operator, George R. Young
Dissertations, Theses, and Masters Projects
No abstract provided.
Fourier Transforms In Euclidean K Space, Terry A. Straeter
Fourier Transforms In Euclidean K Space, Terry A. Straeter
Dissertations, Theses, and Masters Projects
No abstract provided.
Comparative Definitions Of The Derivative, Richard Francis Barry
Comparative Definitions Of The Derivative, Richard Francis Barry
Dissertations, Theses, and Masters Projects
No abstract provided.
The Uniform And Uniform Stieltjes Integrals, Barry James Walsh
The Uniform And Uniform Stieltjes Integrals, Barry James Walsh
Dissertations, Theses, and Masters Projects
No abstract provided.
Matrix Approach To Quadric Surfaces, Maria Vallas
Matrix Approach To Quadric Surfaces, Maria Vallas
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Proof Of Cauchy's Theorem, Raoul Louis Weinstein
On The Proof Of Cauchy's Theorem, Raoul Louis Weinstein
Dissertations, Theses, and Masters Projects
No abstract provided.
Analogous Concepts Of Normal Subgroups And Ideals, Ellen Joyce Stone
Analogous Concepts Of Normal Subgroups And Ideals, Ellen Joyce Stone
Dissertations, Theses, and Masters Projects
No abstract provided.
On Hereditary Properties Of Topological Spaces, John Turner Conway
On Hereditary Properties Of Topological Spaces, John Turner Conway
Dissertations, Theses, and Masters Projects
No abstract provided.
On Perfect Numbers, David Thomas Eastham
On Perfect Numbers, David Thomas Eastham
Dissertations, Theses, and Masters Projects
No abstract provided.
Bounds For The Eigenvalues Of A Matrix, Kenneth Ross Garren
Bounds For The Eigenvalues Of A Matrix, Kenneth Ross Garren
Dissertations, Theses, and Masters Projects
No abstract provided.
Characterizations Of Real Linear Algebras, Anthony Paul Cotroneo
Characterizations Of Real Linear Algebras, Anthony Paul Cotroneo
Dissertations, Theses, and Masters Projects
No abstract provided.
Symmetric Functions, Neil Hiden Drummond
Symmetric Functions, Neil Hiden Drummond
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Metrization Problem, James Clarence Smith
On The Metrization Problem, James Clarence Smith
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Basis Theorem For Abelian Groups, Robert Marsden Chapman
On The Basis Theorem For Abelian Groups, Robert Marsden Chapman
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Sequence Of "Lucky Numbers", Beverly Roane Campbell
On The Sequence Of "Lucky Numbers", Beverly Roane Campbell
Dissertations, Theses, and Masters Projects
No abstract provided.