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Comparison Of Point Estimators Of Normal Percentiles, Danny D. Dyer, Onas L. Hensley, Jerome P. Keating Aug 1977

Comparison Of Point Estimators Of Normal Percentiles, Danny D. Dyer, Onas L. Hensley, Jerome P. Keating

Mathematics Technical Papers - Archive

There are available several point estimators of the percentiles of a normal distribution with both mean and variance unknown. Consequently, it would seam appropriate to make a comparison among the estimators through sums "closeness to the true value" criteria. Along these lines, the concept of Pitman-closeness efficiency is introduced. Essentially, when comparing two estimators, the Pitman-closeness efficiency gives "odds" in favor of one of the estimators being closer to the true value than is the other in a given situation. Through the use of Pitman-closeness efficiency, this paper compares (a) the maximum likelihood estimator, (b) the minimum variance unbissed estimator, …

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Existence And Uniqueness Of Sobolev Type Integrodifferential Equations, M. E. Lord Jul 1977

Existence And Uniqueness Of Sobolev Type Integrodifferential Equations, M. E. Lord

Mathematics Technical Papers - Archive

An imbedding method for nonlinear Fredholm integral equations gives rise to a Sobolev type integrodifferential equation. For such equations, sufficient conditions are given to guarantee local existence and uniqueness of solutions. A Picard type theorem utilizing a Lipschitz condition is obtained.

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The Method Of Nonlinear Variation Of Constants For Difference Equations, M. E. Lord Jun 1977

The Method Of Nonlinear Variation Of Constants For Difference Equations, M. E. Lord

Mathematics Technical Papers - Archive

A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. The method is shown to be useful in studying asymptotic behavior of perturbed nonlinear difference equations.

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Sobolev Type Differential Equations, M. E. Lord, V. Lakshmikantham Jun 1977

Sobolev Type Differential Equations, M. E. Lord, V. Lakshmikantham

Mathematics Technical Papers - Archive

An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation with initial value for the resolvent kernel [see pdf for notation]. The differential equation in (1.1) is unusual in that the solution K(t,y,x) is evaluated at different combinations of the independent variables (t,y,x) . We will refer to any differential equation with this property as a Sobolev type differential equation. We introduce a Sobolev type differential equation which generalizes (1.1) and consider conditions for existence and uniqueness. A Picard type theorem is obtained, which by way of …

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Efficiency In Estimation Of Mean Time To Failure In A Two-Parameter Exponential Failure Model, Danny D. Dyer May 1977

Efficiency In Estimation Of Mean Time To Failure In A Two-Parameter Exponential Failure Model, Danny D. Dyer

Mathematics Technical Papers - Archive

When comparing two point estimators of some parametric function, Pitman-closeness efficiency gives the "odds" in favor of one of the estimators being closer to the true value than is the other in a given situation. Through this measure of efficiency, we compare (i) the maximum likelihood estimator, (ii) the minimum variance unbiased estimator, (iii) the best invariant estimator, and (iv) the median unbiased estimator of the mean time to failure in a two-parameter exponential failure model. Mean squared efficiency is also discussed.

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Efficiency Contours For Estimators Of Reliability In A 2-Parameter Exponential Failure Model, I-Le Lu, Danny D. Dyer May 1977

Efficiency Contours For Estimators Of Reliability In A 2-Parameter Exponential Failure Model, I-Le Lu, Danny D. Dyer

Mathematics Technical Papers - Archive

When there are available several point estimators of some parametric function, it would seem desirable to make a comparison among the estimators based on some measure of closeness to the true value. Along these lines, the concept of Pitman-closeness (PC) efficiency is introduced. Essentially, when comparing two estimators, PC efficiency gives the odds in favor of one of the estimators being closer to the true value in a given situation than is the other. The traditional method of comparison, i.e., mean squared (MS) efficiency is also considered. This paper presents graphical results based on simulation techniques which depict PC efficiencies …

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Differential Inequalities And Flow-Invariance Via Linear Functionals, V. Lakshmikantham, Jerome Eisenfeld May 1977

Differential Inequalities And Flow-Invariance Via Linear Functionals, V. Lakshmikantham, Jerome Eisenfeld

Mathematics Technical Papers - Archive

This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the regularity conditions on x are defined, in a general manner, in terms of a specified set of linear functionals, S. This permits greater flexibility for applications e.g., a proper choice of S gives the PDE operators of the form [see pdf for notation] where [see pdf for notation], an appropriate quasimonotonicity property.

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Infinitely Many Perfect And Unitary Perfect Polynomials Over Some Gf(Q), Mickie Sue Harbin, A.T. Bullock, Jacob T. B. Beard Jr. May 1977

Infinitely Many Perfect And Unitary Perfect Polynomials Over Some Gf(Q), Mickie Sue Harbin, A.T. Bullock, Jacob T. B. Beard Jr.

Mathematics Technical Papers - Archive

The existence is shown of infinitely many non-splitting perfect polynomials over GF(2d), GF(3d), GF(5d) for each odd integer d > 1, and over GF(2d) for each (even) integer d 1 0 (mod 3). Stronger results show that each unitary perfect polynomial over GF(q) determines an infinite equivalence class of unitary perfect polynomials over GF(q). The number SUP(q) of distinct equivalence classes of splitting unitary perfect polynomials over GF(q) is calculated for q = p and shown to be infinite for q # p. The number NSUP(q) of distinct equivalence classes of non-splitting unitary perfect polynomials over GF(q) remains undetermined, but is …

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System Identification Problems And The Method Of Moments, Jerome Eisenfeld, S. W. Cheng, Stephen R. Bernfeld May 1977

System Identification Problems And The Method Of Moments, Jerome Eisenfeld, S. W. Cheng, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

Let X(t) and W(t) be vectors of dimension N > 0. We are concerned with the problem of computing an N x N matrix A such that [see pdf for notation](1.1) where X'(t) is the rate of change of X(t) with respect to time t. Such problems frequently arise in the biosciences although it is not always immediately evident that they may be posed in the form of Eq. (1.1). In applications the data for X(t) and W(t) is obtained from experiments and the collection of such data is not always performed over equal time intervals nor is it always the …

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Linear Algebraic Computational Procedures For System Identification Problems, Jerome Eisenfeld, B. Soni May 1977

Linear Algebraic Computational Procedures For System Identification Problems, Jerome Eisenfeld, B. Soni

Mathematics Technical Papers - Archive

An algorithm is presented for identifying exponentials sums [see pdf for notation] from discrete data [see pdf for notation] The algorithm determines the number of components, [see pdf for notation] the rate constants [see pdf for notation] and the amplitudes [see pdf for notation]. The method is based on the method of moments as it is applied to analyze fluorescence decay experiments. However the present method is more general. It permits greater flexibility in weighting the data and, in particular, alleviates the "cut-off error" incurred when integration is required to infinite time.

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Existence And Comparison Results For Nonlinear Volterra Integral Equations In A Banach Space, Randy Vaughn May 1977

Existence And Comparison Results For Nonlinear Volterra Integral Equations In A Banach Space, Randy Vaughn

Mathematics Technical Papers - Archive

In this paper we prove the existence of solutions to nonlinear Volterra integral equations in a Banach Space. A comparison theorem and the existence of maximal solutions are also obtained using the notion of ordering with respect to a cone. As is known, in infinite dimensional Banach spaces compactness-type conditions are needed to prove existence, whereas in finite dimensional cases these assumptions are not necessary. The results of the paper generalize the corresponding results of Nohel [6]. See also Miller [5] and Lakshmikantham and Leela [2]. Throughout this paper, E will denote a Banach space, and [to,to + a] = …

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Existence And Uniqueness Of Solutions Of Delay Differential Equations On A Closed Subset Of A Banach Space, V. Moauro, S. Leela, V. Lakshmikantham May 1977

Existence And Uniqueness Of Solutions Of Delay Differential Equations On A Closed Subset Of A Banach Space, V. Moauro, S. Leela, V. Lakshmikantham

Mathematics Technical Papers - Archive

In an earlier work [5], sufficient conditions for the existence of solutions in a closed subset F of a Banach space E for the Cauchy problem (1.1) [see pdf for notation] where [see pdf for notation], are obtained by requiring f to satisfy (i) a compactness-type condition in terms of the Kuratowski measure of noncompactness and (ii) a boundary condition, namely, (1.2) [see pdf for notation] for every [see pdf for notation]. In this paper, we wish to explore the other direction followed in the study of the Cauchy problem for differential equations in a Banach space [4,6,7], that is, …

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Existence Of Solutions Of Boundary Value Problems For Nonlinear Second Order Systems In A Banach Space, A. Richard Mitchell, V. Chandra Mar 1977

Existence Of Solutions Of Boundary Value Problems For Nonlinear Second Order Systems In A Banach Space, A. Richard Mitchell, V. Chandra

Mathematics Technical Papers - Archive

This paper is concerned with the existence of solutions of boundary value problems (BVP, for short) for nonlinear second order ordinary differential equations of the type (1.1) [see pdf for notation] (1.2) [see pdf for notation] where [see pdf for notation] is a real Banach space. In case [see pdf for notation], existence was proved by first obtaining a priori bounds for [see pdf for notation] of a solution of (1.1) and (1.2) and then employing a theorem of Scorza-Dragoni [3,7,16]. The methods involve assuming inequalities in terms of the second derivative of Lyapunov-like functions relative to H, using comparison …

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On The Existence Of Weak Solutions Of Differential Equations In Nonreflexive Banach Spaces, V. Lakshmikantham, Evin Bronson, A. Richard Mitchell Mar 1977

On The Existence Of Weak Solutions Of Differential Equations In Nonreflexive Banach Spaces, V. Lakshmikantham, Evin Bronson, A. Richard Mitchell

Mathematics Technical Papers - Archive

The study of the Cauchy problem for differential equations in a Banach space relative to the strong topology has attracted much attention in recent years [2,4,5,7]. This study has taken two different directions. One direction is to impose compactness type conditions that guarantee only existence and the corresponding results are extensions of the classical Peano's Theorem. The other approach is to utilize dissipative type conditions that assure existence and uniqueness of solutions, and the corresponding results are extensions of the classical Picard's Theorem. However, a similar study of the Cauchy problem in a Banach space relative to the weak topology …

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Mathematical Analysis Of Stress Relaxation In Articular Cartilage During Compression, Jerome Eisenfeld, Harold Lipshitz, Van C. Mow Feb 1977

Mathematical Analysis Of Stress Relaxation In Articular Cartilage During Compression, Jerome Eisenfeld, Harold Lipshitz, Van C. Mow

Mathematics Technical Papers - Archive

Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage provides a near frictionless surface, whose coefficient of friction 0.002, which is tough and wear resistant. These biomechanical functions of the tissue are preserved so long as the tissue is maintained in a normal physiological state. The destruction and subsequent loss of articular cartilage as a result of degenerative joint diseases would lead to joint stiffness, pain and deformities. An abnormal state of mechanical stress exerted upon the tissue is an initiating factor or at least a precursor …

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Interval Estimation Of Reliability Characteristics Of A K-Identical Unit Standby Redundant System, Danny D. Dyer Feb 1977

Interval Estimation Of Reliability Characteristics Of A K-Identical Unit Standby Redundant System, Danny D. Dyer

Mathematics Technical Papers - Archive

Standby redundancy is a method for increasing the reliability of a system through the use of additional "backup" units. Assuming perfect failure-sensing and switch-over, we consider such a system when the units are identical, non-repairable, and their lifetimes follow a two-parameter exponential distrubution. Based on unit Type II censored data, interval estimates of the system threshold parameter, mean time to failure, and reliability at time [see pdf for notation], are made through structural inference (a group theoretic approach to fiducial theory). A discussion of n-content structural tolerance intervals for the distribution of the lifetime of the system is also given. …

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Estimation Of The Guarantee Time In A Two-Parameter Exponential Failure Model, Danny D. Dyer Jan 1977

Estimation Of The Guarantee Time In A Two-Parameter Exponential Failure Model, Danny D. Dyer

Mathematics Technical Papers - Archive

There are available several classical point estimators of the guarantee time (location parameter) in a two-parameter exponential failure model. For the purpose of making a pairwise comparison of the estimators, a two-fold technique is introduced which essentially examines (a) the "odds" in favor of an estimator being closer to the true value than is a competing estimator and (b) an estimator's average closeness given that it is closer to the true value as well as given that it is not. Closeness to the true value is measured through an absolute error loss function. Joint consideration of these concepts is discussed …

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Essays On Modern European Revolutionary History, Stanley Palmer, Anthony S. Baker, Reinhartz Dennis, R. R. Palmer, George Barr Jr. Carson Jan 1977

Essays On Modern European Revolutionary History, Stanley Palmer, Anthony S. Baker, Reinhartz Dennis, R. R. Palmer, George Barr Jr. Carson

The Walter Prescott Webb Memorial Lectures - Archive

No abstract provided.

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Existence Of Solutions In A Closed Set For Delay Differential Equations In Banach Spaces, V. Moauro, S. Leela Jan 1977

Existence Of Solutions In A Closed Set For Delay Differential Equations In Banach Spaces, V. Moauro, S. Leela

Mathematics Technical Papers - Archive

The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions which guarantee the existence as well as uniqueness of solutions and (ii) finding compactness type conditions which assure only the existence of solutions [3,4]. It is also known [10,12] that in order to prove the existence of solutions in a closed subset F of the Banach space, a boundary condition of the type [see pdf for notation] is required.

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Asymptotic Properties Of A Nonlinear Diffusion Process Arising In Articular Cartilage, Van C. Mow, Jerome Eisenfeld Jan 1977

Asymptotic Properties Of A Nonlinear Diffusion Process Arising In Articular Cartilage, Van C. Mow, Jerome Eisenfeld

Mathematics Technical Papers - Archive

There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has led to mathematical models which are systems of nonlinear partial differential equations (see e.g., [6] and [7]). The mathematical models are based on assumptions concerning the nature of the physical system which are not a priori known. Therefore laboratory experiments are performed with an eye towards validating the mathematical models. This paper deals with a particular mathematical model, a nonlinear diffusion equation, which has been proposed by Mow and Monsour [4], [5] to describe the …

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General Moment Methods For A Class Of Nonlinear Models, Stephen W. Cheng, Jerome Eisenfeld Jan 1977

General Moment Methods For A Class Of Nonlinear Models, Stephen W. Cheng, Jerome Eisenfeld

Mathematics Technical Papers - Archive

This paper deals with the following problems: (i) the development of a general theory which incorporates several methods as special cases; (ii) the applicability of moment methods to a class of nonlinear problems, (iii) the specification of the class of admissible weighting functions; (iv) the estimation of the number of parameters; (v) the elimination of the cut-off error in the analysis of fluorescence decay data.

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Stability Of Differential Systems With Impulsive Perturbations In Terms Of Two Measures, S. Leela Jan 1977

Stability Of Differential Systems With Impulsive Perturbations In Terms Of Two Measures, S. Leela

Mathematics Technical Papers - Archive

The study of differential systems of the form (1.1) [see pdf for notation] where [see pdf for notation] denotes the distributional derivative of [see pdf for notation], a function of bounded variation (that is, differential systems with impulsive perturbations, also called measure differential equations), is both interesting and important because most models for biological neural nets,pulse frequency modulation systems, automatic control problems with impulsive inputs and many physical processes are best described by such equations [1-3,8,10,12,13]. Since the solutions of (1.1) are discontinuous (that is, functions of bounded variation), the investigation of the stability properties of (1.1) by the usual …

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The Distribution, Variation, And Natural History Of The Middle American Highland Pitvipers, Bothrops Barbouri And Bothrops Godmani, Jonathan Atwood Campbell Jan 1977

The Distribution, Variation, And Natural History Of The Middle American Highland Pitvipers, Bothrops Barbouri And Bothrops Godmani, Jonathan Atwood Campbell

Biology Faculty Publications - Archive

Ecological limiting factors, morphological characteristics, and life history data were used to explain the possible origin, dispersal, and present distribution of Bothrops godmani and B. barbouri. Museum specimens were examined in detail and field investigations were carried out from 1973 to 1976 for a period totaling approximately four months. Bothrops barbouri is distributed at elevations above 2400 meters in cloud forest and at higher elevations in mesic fir-pine-oak forests in Guerrero, Mexico. Bothrops godmani is distributed from southeastern Oaxaca, Mexico, to Chiriqu (Province, Panama, at elevations exceeding 1500 meters. This species inhabits a variety of forest types ranging from mesic …

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The University Of Texas At Arlington Graduate Catalog 1977-1978, The University Of Texas At Arlington Jan 1977

The University Of Texas At Arlington Graduate Catalog 1977-1978, The University Of Texas At Arlington

UTA Graduate Catalogs

No abstract provided.

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American Literary Scholarship: An Annual 1975, James Woodress, Lawrence Buell, J. Donald Crowley, Donald B. Stauffer, Hershel Parker, Marvin Fisher, Willis J. Buckingham, Hamlin Hill, William T. Stafford, Stuart Y. Mcdougal, Karl F. Zender, Jackson R. Bryer, Robert D. Arner, Warren French, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, Linda Welshimer Wagner, Jordan Y. Miller, Charles Nilon, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden Jan 1977

American Literary Scholarship: An Annual 1975, James Woodress, Lawrence Buell, J. Donald Crowley, Donald B. Stauffer, Hershel Parker, Marvin Fisher, Willis J. Buckingham, Hamlin Hill, William T. Stafford, Stuart Y. Mcdougal, Karl F. Zender, Jackson R. Bryer, Robert D. Arner, Warren French, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, Linda Welshimer Wagner, Jordan Y. Miller, Charles Nilon, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Title Page, Copyright Page, and Table of Contents

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First Printings Of American Authors - Volume One, Matthew Bruccoli, C.E. Frazer Clark Jr., Richard Layman, Franklin Benjamin Jan 1977

First Printings Of American Authors - Volume One, Matthew Bruccoli, C.E. Frazer Clark Jr., Richard Layman, Franklin Benjamin

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Title Page, Table of Contents

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Reveille 1977 (Uta Yearbook 1977), The University Of Texas At Arlington Jan 1977

Reveille 1977 (Uta Yearbook 1977), The University Of Texas At Arlington

UTA Yearbooks

Archived yearbook of the University of Texas at Arlington or a preceding institution, digitized and preserved by UTA Libraries Special Collection in 2023

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Mathematical Modeling In Medicine, Jerome Eisenfeld Sep 1976

Mathematical Modeling In Medicine, Jerome Eisenfeld

Mathematics Technical Papers - Archive

Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, medically oriented articles presently appear in several mathematics journals. We call the reader's attention to the following journals: Bulletin of Mathematical Biology (continues The Bulletin of Mathematical Biophysics), Biomathematics (also called Revue de Bio-Mathematique), SIAM Journal in Applied Mathematics (a new series devoted to biomathematics will appear shortly), Math Biosciences, Biomedical Engineering, IEEE Transactions in Biomedical Engineering, Journal of Biomechanics, Biological Cybernetics, Computers in Biology and Medicine, Journal of Theoretical Biology, and Biometrics. Each year there are …

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Cone-Valued Lyapunov Functions, S. Leela, V. Lakshmikantham Aug 1976

Cone-Valued Lyapunov Functions, S. Leela, V. Lakshmikantham

Mathematics Technical Papers - Archive

It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a variety of qualitative problems of differential equations in a unified way [10]. Nevertheless, when using this powerful technique for concrete problems, the main difficulty we face is the lack of general method of constructing a Lyapunov function. This naturally beads to the development of the method of vector Lyapunov functions which utilizes several Lyapunov-like functions and the theory of vector differential inequalities in a fruitful manner [5,8-12]. This method offers a more flexible mechanism to …

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A Monotone Method For Infinite System Of Nonlinear Boundary Value Problems, V. Lakshmikantham, Jagdish Chandra, S. Leela Aug 1976

A Monotone Method For Infinite System Of Nonlinear Boundary Value Problems, V. Lakshmikantham, Jagdish Chandra, S. Leela

Mathematics Technical Papers - Archive

Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ordinary and partial differential equations. While such procedures take a simple form when the nonlinearities are independent of gradient terms [6,9], the extension of such techniques to fully nonlinear problems has been quite formidable. In the case of scalar ordinary differential equations of the type (1.1) [see PDF for equation] such results have been obtained making use of either a linear maximum principle (3,1] or a nonlinear maximum principle [4]. In either case an essential use is made …

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