Digital Commons Network^™

Reliable Computation In The Presence Of Noise, Nicholas Pippenger

All HMC Faculty Publications and Research

This talk concerns computation by systems whose components exhibit noise (that is, errors committed at random according to certain probabilistic laws). If we aspire to construct a theory of computation in the presence of noise, we must possess at the outset a satisfactory theory of computation in the absence of noise.

A theory that has received considerable attention in this context is that of the computation of Boolean functions by networks (with perhaps the strongest competition coming from the theory of cellular automata; see [G] and [GR]). The theory of computation by networks associates with any two sets Q and …

Computer Program Generation Of Extreme Value Distribution Data, Stephen (Wan-Tsing) Lei

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

The application of the Monte Carlo method on the estimation in Gumbel extreme value distribution was studied. The Gumbel extreme value distribution is used to estimate the flood flow of specific return period for the design of flood mitigation project. This paper is a programming effort (1) to estimate the parameters of Gumbel distribution using the observed data and (2) to provide a random variate generating subroutine to generate random samples and order statistics of a Gumbel distribution random variable. The mean squared error is used to measure the accuracy of the estimation method. Finally, an example of the use …

On The Mean Time Between Failures For Repairable Systems, Max Engelhardt, Lee J. Bain

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

Much of the recent work on modeling repairable systems involves Poisson processes with nonconstant intensity functions, viz, nonhomogeneous Poisson processes. Since times between failures are not identically distributed when the process is nonhomogeneous, it is not clear what concept should take the place of the mean time between failures in assessing the reliability of a repairable system. A number of alternate concepts can be found in the literature. We investigate the relationship between two of the most frequently considered alternatives: the reciprocal of the intensity function, and the mean waiting time from t until the next failure. Theorem 1 states …

Estimation In Truncated Exponential Family Of Distributions, Laxman M. Hegde

Mathematics & Statistics Theses & Dissertations

Estimating the parameters of a truncated distribution is a well known problem in statistical inference. The non-existence of the maximum likelihood estimator (m.l.e.) with positive probability in certain truncated distributions is not well known. To mention a few results in the literature:

(i) Deemer and Votaw 1955 show that the maximum likelihood estimator does not exist in a truncated negative exponential distribution on 0,T , T > 0 known, whenever the sample mean x (GREATERTHEQ) T/2.

(ii) Broeder 1955 shows that the maximum likelihood estimator of the scale parameter of a truncated gamma distribution, with the shape parameter being known, becomes …

Mathematical Programming Model Of Western Australian Dairy Farms, G R. Olney, D A. Falconer

Animal production and livestock research reports

A profit maximising mathematical programming dairy farm model has been developed which determines the most profitable management strategies for the full year. This model was initially an extension of the one used in the Western Australian Dairy Feed Management Service (DFMS) which determines the most profitable ration to feed for a specific period, the milk yield per cow and the number of cows to milk. The DFMS is useful for formulating a ration for a specific period, particularly during summer on non-irrigated farms in Western Australia when complete hand feeding is required, but it cannot be used to determine optimum …

Student Profile, Fall 1985, 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, 1985.

The Effects Of An Intervention Program On Nursing Burnout, Maria Rosa-Morales

Loma Linda University Electronic Theses, Dissertations & Projects

The risk for professional burnout has become commonly recognized and in the past several years has been a focus of research efforts. Nursing is one of the professions generating a high level of stress which results in burnout.

The purpose of this study was to test the effects of an intervention program for nurses who felt they were experiencing burnout. Nursing burnout was defined as a chronic condition of stress among nurses, which leads to a syndrome of emotional exhaustion, depersonalization, and lack of personal accomplishment. The design used was a true experiment. Fifty-two nurses served as voluntary participants who …

A Sensitivity Analysis Of The Coefficients For The Transformation Of The Electrocardiographic Orthogonal Three-Lead System (Frank) To The Standard Twelve-Lead System, Rasa Ona Draugelis

Loma Linda University Electronic Theses, Dissertations & Projects

The SENSITIVITY ANALYSIS is performed on the transformation coefficients of the Frank XYZ signals generating standard 12-lead ECG with respect to diagnosis. The analysis is adapted for the individual waveform and per each lead. The disease/abnormality categories are described in terms of discrete pattern classes based on criteria used by Marquette Electronics, Inc. The nonlinear global sensitivity analysis method developed by Shuler, et al, is selected for this project. The diagnostic change in the waveform is denoted by a distance measurement from the pattern class boundary corresponding to the best-experimental coefficient estimates (Dower coefficients) to the alternate coefficient specification measurement …

Data Analysis Using Experimental Design Model Factorial Analysis Of Variance/Covariance (Dmaovc.Bas), Wesley E. Newton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

DMAOVC.BAS is a computer program written in the compiler version of microsoft basic which performs factorial analysis of variance/covariance with expected mean squares. The program accommodates factorial and other hierarchical experimental designs with balanced sets of data. The program is writ ten for use on most modest sized microprocessors, in which the compiler is available. The program is parameter file driven where the parameter file consists of the response variable structure, the experimental design model expressed in a similar structure as seen in most textbooks, information concerning the factors (i.e. fixed or random, and the number of levels), and necessary …

Statistical Calibration Theory, James John Mckeon

Mathematics & Statistics Theses & Dissertations

A calibration method substitutes for measurements, X(,i), that are accurate but impractical or costly, a set of measurements, Y(,i), that are less accurate but simpler or less costly. There are two general types of calibration methods. The classical approach in which once the calibration sample is drawn, the estimates of the X values for a given unit is found without any consideration of the distribution of X values for the other units to be measured. This corresponds best to the literal meaning of the word "calibration". Maximum likelihood estimation is the statistical formulation of the classical approach.

The second approach …

Smoking Behavior Among Alabama Student Nurses : The Role Of Behavioral Beliefs And Normative Referencing, Judith Rausch

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to determine predictors of smoking behavior for the senior student nurses in the state of Alabama using Ajzen and Fishbein's Theory of Reasoned Action. Smoking prevalence by level of educational preparation and selected health behaviors were examined for relationship to cigarette use.

A sample of 11 schools of nursing were selected from Alabama's 34, using a random numbers table. There were 13 total programs as two of the schools had both A.D. and B.S. nursing programs. Thirty-two percent (N=555) of senior A.D., B.S. & diploma students nurses in Alabama responded to an 87 item …

Ada: A New Programming Language., Daniel C. St. Clair

Mathematics and Statistics Faculty Research & Creative Works

In an attempt to control defense software costs while maintaining system reliability, the DOD (Department of Defense) has sponsored the development of a new programming language, called Ada. While Ada supports many of the features found in Fortran and Pascal, it has additional features making it easier and more reliable to use in large complex engineering software systems. Currently, the DOD is requiring that many new defense software systems be written in Ada. The author reviews the history of Ada's development and examines the primary constructs of the language. The philosophy behind Ada program design is reviewed by designing and …

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Reflected Diffusion Processes With Jumps, José-Luis Menaldi, Maurice Robin

Mathematics Faculty Research Publications

A stochastic differential equation of Wiener-Poisson type is considered in a d-dimensional bounded region. By using a penalization argument on the domain, we are able to prove the existence and uniqueness of solutions in the strong sense. The main assumptions are Lipschitzian coefficients, either convex or smooth domains and a regular outward reflecting direction. As a direct consequence, it is verified that the reflected diffusion process with jumps depends on the initial date in a Lipschitz fashion.

Large Deviation Local Limit Theorems For Arbitrary Sequences Of Random Varibles, Narasinga Rao Chaganty, J Sethuraman

Mathematics & Statistics Faculty Publications

The results of W. Richter (Theory Prob. Appl. (1957) 2 206-219) on sums of independent, identically distributed random variables are generalized to arbitrary sequences of random variables T_n. Under simple conditions on the cumulant generating function of T_n, which imply that T_n/n converges to zero, it is shown, for arbitrary sequences {m_n}, that k_n (m_n), the probability density function of T_n/n at m_n, is asymptotic to an expression involving the large deviation rate of T_n/n. Analogous results for lattice …

Cramer Type Large Deviations For Generalized Rank Statistics, Munsup Seoh, Stegan S. Ralescu, Madan L. Puri

Mathematics and Statistics Faculty Publications

A Cramer type large deviation theorem is proved under alternatives as well as under hypothesis for the generalized linear rank statistic which includes as special cases (unsigned) linear rank statistics, signed linear rank statistics, linear combination of functions of order statistics, and a rank combinatorial statistic.

Monte Carlo Simulation Of The Game Of Twenty-One, Douglas E. Loer

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

The purpose of this paper is to demonstrate the application of computer simulation to the game of Twenty-One to predict a player's expected return from the game. Twenty-One has traditionally been one of the most popular casino games and has attracted much effort to accurately estimate the house's true advantage. Probability theory has been tried, but the thousands of different combinations of cards possible in all hands throughout the entire pack make it practically impossible to apply probability theory without overlooking some possibilities. For this reason, Twenty-One is a perfect candidate for simulation. By blocking several simulations, normal theory can …

Statistical Services, Jane Speijers, Australian Co-Operation With The National Agricultural Research Project, Thailand.

All other publications

2. TERMS OF REFERENCE

To achieve familiarity with the existing resources for biometrical work within the Department of Agriculture both at Bangkhen and at the regional centres - and to gain an understanding of the present systems whereby biometricians are involved in designing experiments and analysing results. This will involve visits to research stations and discussions with both research directors and scientists.

2.1 To become informed on the planned improvements in biometrical services for regional research centres to be carried out through the Thai/World Bank, National Agricultural Research Project (NARP).

2.2 Against the background of items 2.1 and 2.2 above, …

Fisheries Report No 71 - An Investigation Of The Mortality Of The Pearl Oyster, Pinctada Maxima, In Western Australia, Rand Dybdahl, David A. Pass

Fisheries Research Reports

A three year investigation into the cause of abnormally high mortality rates of the pearl oyster, Pinctada maxima, on the cultured pearl industry's lease sites in the North West of Western Australia was completed on 30 June 71983. The objective of this study was to determine environmental, physiological and pathological factors predisposing farm oysters to excessive Levels of mortality and, if possible, make recommendations to alleviate this problem.

As mass mortalities may have complex causes, complementary field and laboratory studies were instigated. The culture industry's method of collection, transportation and farm husbandry were examined. Environmental parameters were monitored. Various empirical …

Comparison Of Bootstrap And Jacknife Statistical Procedures, Amanuel Gobena

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

This report compares the bootstrapping to jacknifing statistical procedures in terms in bias, confidence interval and estimation of median. Related literature have been reviewed. A bootstrap allows a researcher to get an approximation to the distribution of possibly complicated statistical summaries. It is based on random sampling with replacement from experimental units. Jacknife has also been in operation prior to bootstrapping statistical procedure. The jacknife divides the data into subgroups and obtains partial estimates of these subgroups by omitting one subgroup at a time. When both of these statistical resampling procedures are compared the bootstrap has less bias, more accurate …

Multiple Shooting, Monique St-Maurice

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

The purpose of this report was to study the Multiple Shooting method, a numerical method to solve boundary value ordinary differential equation. A FORTRAN program was written to solve the specific problem.

y'' = -y, y(0) = 0, y(π/2) = 1

on a microcomputer, using the microsoft FORTRAN compiler and the 8087 coprocessor.

Analysis Of International Travel Statistics For 1982, Central Bank Of Nigeria Cbn

Economic and Financial Review

This paper analyses statistics on international travels for 1982 based on information derived from the Nigerian Exchange Control TM (arrival) forms. The forms are designed to enable travellers coming into the country from abroad to declare their holdings of foreign currency, precious stones, jewellery and works of art.

The Modified Index Of Severity Scale, Marion Gamundoy

Loma Linda University Electronic Theses, Dissertations & Projects

[No Abstract Included]

U.S. Input-Output Data: A 1984 Update, Ronald E. Miller

Accounts and Data

This paper calls attention to the U.S. national input-output data for 1977 and the U.S. multiregional input-output data for the same year; both of these data sets became available during 1984. In particular, the commodity-by- industry accounting scheme which underpins both the 1972 and 1977 U.S. national models (as well as the U.S. 1977 multiregional model), is contrasted with the industry-by-industry approach of the original Leontief framework, which was the basis of the pre-1972 U.S. national tables.

Student Profile, Fall 1984, 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, 1984.

Statistical Section (September 1984), Central Bank Of Nigeria Cbn

Economic and Financial Review

This is the statistical presentations of the developments in the Nigerian economy during the period under review.

Estimating The Parameters Of Truncated Distributions, Mukul Mohan Mittal

Mathematics & Statistics Theses & Dissertations

The problem considered here is the estimation of the parameters of some special truncated distributions. If the sample observations are restricted to the interval {O, T} with T known, then it is well known in the literature that the method of maximum likelihood fails to provide a finite estimate, for the mean of an exponential distribution, whenever the sample mean is greater than T/2 (Deemer and Votaw, 1955, Ann. Math. Statist. 26, 498-504). Not so well known is the nonexistence of the maximum likelihood estimator (m.l.e.), under certain conditions, for the scale parameter of a gamma distribution from a truncated …

Statistical Section (June 1984), Central Bank Of Nigeria Cbn

Economic and Financial Review

Statistical tables on central banking, commercial banking, merchant banking, international liquidity, international trade, the flow of funds, money supply, national savings, production, consumer prices, public debt and public finance.

Expressive Power In First Order Topology, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

A first order representation (f.o.r.) in topology is an assignment of finitary relational structures of the same type to topological spaces in such a way that homeomorphic spaces get sent to isomorphic structures. We first define the notions "one f.o.r. is at least as expressive as another relative to a class of spaces" and "one class of spaces is definable in another relative to an f.o.r.", and prove some general statements. Following this we compare some well-known classes of spaces and first order representations. A principal result is that if X and Y are two Tichonov spaces whose posets of …

Measuring The Effectiveness Of Patient Teaching In Postpartum Patients, Nancy Racine

Loma Linda University Electronic Theses, Dissertations & Projects

[Abstract Not Included]