Physical Sciences and Mathematics Commons^™

Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

No abstract provided.

The Least Fixed Point Property For Ω-Chain Continuous Functions, Joe Mashburn

Mathematics Faculty Publications

A partially ordered set P is ω-chain complete if every countable chain (including the empty set) in P has a supremum. … Notice that an ω-chain continuous function must preserve order. P has the (least) fixed point property for ω-chain continuous functions if every ω-chain continuous function from P to itself has (least) fixed point.

It has been shown that a partially ordered set does not have to be ω-chain complete to have the least fixed point property for ω-chain continuous functions. This answers a question posed by G. Plotkin in 1978. I.I. Kolodner has shown that an ω-chain complete …

Topological Extensions And Subspaces Of Ηα-Sets, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

The η_x-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽ exp(exp(2^<α)) in the Stone-Čech case). If Q_α denotes the unique (when it exists) η_α -set of cardinality α, then Q_α can be decomposed (= partitioned) into homeomorphs of any prescribed nonempty subspace; moreover the subspaces of Q_α can be characterized as those which arc regular T₁, of cardinality and weight ≼ α, whose topologies are closed under < α intersections.

On The First Passage Time Distribution For A Class Of Markov Chains, Mark Brown, Narasinga Rao Chaganty

Mathematics & Statistics Faculty Publications

Consider a stochastically monotone chain with monotone paths on a partially ordered countable set S. Let C be an increasing subset of S with finite complement. Then the first passage-time from i ∈ S to C is shown to be IFRA (increasing failure rate on the,av;rage). Several applications are presented including coherent systems, shock models, and convolutions of IFRA distributions.

The Effect Of Fetal Age On Skin Permeability In Guinea Pigs, Benita Stiles Whitted

Loma Linda University Electronic Theses, Dissertations & Projects

Preliminary investigation has indicated large decreases in fetal skin permeability during the latter half of gestation (Parmley and Seeds, 1970; Treager, 1966). The purpose of this study was to demonstrate the degree of skin permeability in fetal guinea pigs at various gestational stages. The test hypothesis was that these skins would show a significant decrease in permeability to tritiated water when tested at time increments through out the latter half of gestation.

In vitro skin permeability to tritiated water was measured in samples from 22 guinea pig fetuses. Gestational age ranged from 30 to 65 days in increments of five, …

Student Profile, Fall 1982, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1982.

The Effect Of Self-Help Support Groups On Self Esteem And Blood Glucose In Young Insulin-Dependent Diabetics, Linda L. Woertz

Loma Linda University Electronic Theses, Dissertations & Projects

Successful adaptation to diabetes is probably a function of many factors: the stress involved, the rewards, the motivation of the individual, and the self concept. The more optimal the self concept the more optimal the behavior may be. By helping the patient shape a positive self concept, a base can be built for blood glucose control (Bruhn, 1977, pp. 93-97). One method of improving self concept or self esteem may be through the development of self-help support groups for diabetics.

The purpose of this study was to evaluate the effect of self-help support group intervention on the levels of self …

An Analysis Of The Median Polish Procedure, Patricia M. Burgess, David L. Farnsworth

Articles

The effect of the median polish procedure on artificial data having known general characteristics, disturbances, and random elements is examined. Monte Carlo experiments were designed for this purpose. The behavior of the fits, residuals, and various accompanying statistics are determined under special controlled conditions. Then, the procedure is applied to selected data sets from the literature utilizing the findings of this study.

A Subset Selection Rule For Three Normal Populations, Bert Culpepper

Retrospective Theses and Dissertations

No abstract provided.

The Use Of Contingency Table Analysis As A Robust Technique For Analysis Of Variance, Mei-Eing Chiu

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this paper is to compare Analysis of Variance with Contingency Table Analysis when the data being analyzed do not satisfy Analysis of Variance assumptions. The criteria for comparison are the powers of the Standard variance-ratio and the Chi-square test.

The test statistic and powers were obtained by Monte Carlo.

1. Calculate test statistic for each of 100 trials, this process was repeated 12 times. Each time different combination of means and variances were used.

2. Powers were obtained for each of 12 combinations of means and variances.

Whether Analysis of Variance or Contingency Table Analysis is a …

Least Squares Estimation Of The Pareto Type I And Ii Distribution, Ching-Hua Chien

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The estimation of the Pareto distribution can be computationally expensive and the method is badly biased. In this work, an improved Least Squares derivation is used and the estimation will be less biased. Numerical examples and figures are provided so that one may observe the solution more clearly. Furthermore, by varying the different methods of estimation, a comparing of the estimators of the parameters is given. The improved Least Squares derivation is confidently employed for it is economic and efficient.

Parameter Estimation In Nonstationary M/M/S Queueing Models, Pensri Vajanaphanich

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

If either the arrival rate or the service rate in an M/M/S queue exhibit variability over time, then no steady state solution is available for examining the system behavior. The arrival and service rates can be represented through Fourier series approximations. This permits numerical approximation of the system characteristics over time.

An example of an M/M/S representation of the operations of emergency treatment at Logan Regional hospital is presented. It requires numerical integration of the differential equation for L(t), the expected number of customers in the system at time t.

Linear Regression Of The Poisson Mean, Duane Steven Brown

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this thesis was to compare two estimation procedures, the method of least squares and the method of maximum likelihood, on sample data obtained from a Poisson distribution. Point estimates of the slope and intercept of the regression line and point estimates of the mean squared error for both the slope and intercept were obtained. It is shown that least squares, the preferred method due to its simplicity, does yield results as good as maximum likelihood.

Also, confidence intervals were computed by Monte Carlo techniques and then were tested for accuracy. For the method of least squares, confidence …

The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

A method is given for generating random intermediate points for a sequence of partitions. For the corresponding random Riemann sums it is shown that they converge almost surely to the Lebesgue integral. © 1982 American Mathematical Society.

Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that Fourier series with asymptotically even coefficients and satisfying (formula present here), for some 1 < p < 2, con­verge in L1-norm if and only if (formula present here), where En(t) =Σk=0neiktRecent results of Stanojevic [1], Bojanic and Stanojevic [2], and Goldberg and Stanojevic [3] are special cases of some corollaries to the main theorem. © 1982 American Mathematical Society.

Conjugate Type Boundary Value Problems For Functional-Differential Equations, P. W. Eloe, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of L¹-Convergence, R. Bojan1c, C. V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that if the Fourier coefficients (an) of /E L!(0, ir) satisfy (*)L" kp\Aan\p = o(l), for some 1

< 2, then \\sn- f\\ = o(l), if and only if a" lg n * o(l). For cosine trigonometric series with coefficients of bounded variation and satisfying (*) it is proved that a necessary and sufficient condition for the series to be a Fourier series is (an) E 6, where G is the Garrett-Stanojevic [4] class. © 1982 American Mathematical Society.

A Note On Fixed-Point Theorems, Troy L. Hicks, M. D. Humphries

Mathematics and Statistics Faculty Research & Creative Works

In an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces. © 1982.

Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang

Mathematics and Statistics Faculty Publications

Acceptors present in undoped p‐type conducting GaAs have been studied with photoluminescence, temperature‐dependent Hall measurements, deep level transient spectroscopy, and spark source mass spectrometry. It is shown that p‐type conduction is due to presence of the shallow acceptor C_As and the cation antisite double acceptor Ga_As. The first and second ionization energies determined for Ga_As are 77 and 230 meV from the valence‐band edge.

Some Comments On The Erdos-Renyl Law And A Theorem Of Shepp, James Lynch

Faculty Publications

We show that the finiteness of the moment generating function is necessary for the finiteness of the lim sup of the moving averages considered by Shepp (1964). This also implies that the same must be true for the Erdos-Renyi law of large numbers.

Sequential Probability Ratio Tests For The Shape Parameter Of A Nonhomogeneous Poisson Process, Lee J. Bain, Max Engelhardt

Mathematics and Statistics Faculty Research & Creative Works

Sequential probability ratio tests for the shape parameter of one or more nonhomogeneous Poisson processes, with power intensity functions, are provided. The tests can be performed when the scale parameter is an unknown nuisance parameter; the effective loss of not knowing the scale parameter is one observation per process. The resulting tests can be expressed in terms of the maximum likelihood estimators of the shape parameters for the usual fixed sample procedure. A further advantage of the present approach is that the scale parameters for different processes, in the multiple sample procedures, need not be equal. Approximations for the operating …

Nonparametric Analysis Of Right Censored Data With Multiple Comparisons, Hwei-Weng Shih

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This report demonstrates the use of a computer program written in FORTRAN for the Burroughs B6800 computer at Utah State University to perform Breslow's (1970) generalization of the Kruskal-Wallis test for right censored data. A pairwise multiple comparison procedure using Bonferroni's inequality is also introduced and demonstrated. Comparisons are also made with a parametric F test and the original Kruskal-Wallis test. Application of these techniques to two data sets indicate that there is little difference among the procedures with the F test being slightly more liberal (too many differences) and the Kruskal-Wallis test corrected for ties being slightly more conservative …

Student Profile, Fall 1981, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1981.

An Analysis Of The Impact Of The 55 Mph Speed Limit, David L. Farnsworth, Kenneth Mathis, Janet Herbert

Articles

In January 1974 the speed limit on the New York State Thruway was set at 55 mph for all vehicles. This paper examines the effect of that action on Thruway fatality rates. The exact number of total miles driven is known for this toil road. Hence, death rates are based upon precise information. Since seven years have elapsed during the post-treatment period, 1974-1980, longer trends can be investigated. The death rate is modeled and intervention analysis performed. Using a variety of forecasting techniques, the pre-treatment fatality rates are used to project rates through the post-treatment period. In this way, the …

The Effect Of Hypercholesterolemia On The Membrane Lipids, 3-0-[¹⁴C] Methylglucose Transport, And 2,3-Diphosphoglycerate Levels In Rat Erythrocytes, Edwin J. Lester Jr.

Loma Linda University Electronic Theses, Dissertations & Projects

An increase in dietary cholesterol and cholic acid will produce hypercholesterolemia in rats. For ten months, two groups of rats (six in each group) were fed commercial rat pellets (control group) or rat pellets plus cholesterol (1%) and cholic acid (0.25%) (experimental group). A blood sample from each animal was divided into three aliquots for three separate experiments on the erythrocytes: a membrane cholesterol and phospholipid determination, a 3-0-[¹⁴C] methylglucose (30MG) transport determination, and a 2,3-diphosphoglycerate (2,3 DPG) determination. The 30MG transport and 2,3 DPG aliquots were each incubated in the same five concentrations of 30MG and glucose …

Dissertation: The Least Fixed Point Property For Ω-Chain Continuous Functions, Joe Mashburn

Mathematics Faculty Publications

The basic definitions are given in the first section, including those for ω-chain continuity, ω-chain completeness, and the least fixed point property for ω-chain continuous functions. Some of the relations between completeness and fixed point properties in partially ordered sets are stated and it is briefly shown how the question basic to the dissertation arises.

In the second section, two examples are given showing that a partially ordered set need not be ω-chain complete to have the least fixed point property for ω-chain continuous functions.

Retracts are discussed in section 3, where it is seen that they are not sufficient …

A Morphometrical Analysis Of The Guinea Pig Placenta After Chronic Exposure To Carbon Monoxide, Marcella J. Woolsey

Loma Linda University Electronic Theses, Dissertations & Projects

We used morphometric analysis to determine if placental structure is modified by carbon monoxide, Camm-Hartley guinea pigs were exposed throughout gestation to chronic conditions of carbon monoxide (averaging about 180 parts per million). Maternal weight, placental weight, fetal weight, and fetal length were recorded at the time of placental fixation. Using a computerized image analyzer on photomicrographs obtained through light microscopy, we measured maternal and fetal percent vessel volumes, surface areas, and vessel numbers. Maternal vessel numbers and surface area remained basically unchanged but decreased slightly. Maternal percent volume decreased 15%. However, fetal capillary number increased 35% (p < 0.01) from a control value of 2325 ± 184 per mm² (SE …

Support Systems Of Mexican-American Women And Their Attitudes Regarding Infant Feeding, Susan Marie Krantz

Loma Linda University Electronic Theses, Dissertations & Projects

This was a descriptive study of 37 recently migrated to the United States, Spanish-speaking, Mexican-American women. Attitudes and support systems associated with their choice to breast or bottle feed their infants were studied. The purpose of this research was to answer the following questions:

1. What are the differences in the attitudes of Mexican- American primiparas who choose to breast feed and those who choose to bottle feed?

2. What are the differences in the practice, recommendations, and proximity of location of significant members of the women's support systems?

Twenty-one breast feeders and 16 bottle feeders were interviewed in Spanish …

Explanation Of The Fast Fourier Transform And Some Applications, Alan Kazuo Endo

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This report describes the Fast Fourier Transform and some of its applications. It describes the continuous Fourier transform and some of its properties. Finally, it describes the Fast Fourier Transform and its applications to hurricane risk analysis, ocean wave analysis, and hydrology.

Classes Of L¹-Convergence Of Fourier And Fourier-Stieltjes Series, Časlav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is shown that the Fomin class FP (1

< 2) is a subclass of C ∩ B V, where C is the Garrett-Stanojevic class and B V the class of sequences of bounded variation. Wider classes of Fourier and Fourier-Stieltjes series are found for which an lg n - o(1), n → ∞, is a necessary and sufficient condition for L1-convergence. For cosine series with coefficients in B V and n∆a_n = 0(1), n → ∞, necessary and sufficient integrability conditions are obtained. © 1981 American Mathematical Society.