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Boundary Integral Methods And Free Surface Problems., Mina Badie. Abd-El-Malek
Boundary Integral Methods And Free Surface Problems., Mina Badie. Abd-El-Malek
Electronic Theses and Dissertations
This dissertation is a study of boundary integral methods and free surface problems. An analysis is made for three problems, flow over an uneven bottom, flow from a uniform channel over shelf, and flow from a uniform channel over a sharp-crested weir. All problems studied here include the influence of gravity, under the assumptions that the motion is irrotational, the fluid is incompressible, inviscid, and the flow is two-dimensional and steady. The solutions are obtained by using conformal mapping theory, which maps the fluid region in the normalized complex-potential plane onto an upper half-plane, and Hilbert's technique. Each problem has …
Some Problems Of Statistical Estimation In The Theory Of Queues., Jacob Eshak. Samaan
Some Problems Of Statistical Estimation In The Theory Of Queues., Jacob Eshak. Samaan
Electronic Theses and Dissertations
Most of the papers published, in the area of parameter estimation in queueing theory, deal with the estimation of continuous parameters. Namely, the problem of estimating the arrival rate, service rate, or mean waiting time for a single server or multiserver queueing system is considered. The theory of Billingsley is thus directly applicable. The first half of this dissertation discusses similar problems. In one of the chapters, the properties of these estimators are discussed. The concept of stopping time and Renyi's theorem for the limit of a random sum of random variables are used to investigate some of these properties. …
Two-Stage Testing Procedures., Thomas Alfred. Bass
Two-Stage Testing Procedures., Thomas Alfred. Bass
Electronic Theses and Dissertations
Two-stage testing procedures are proposed for three statistical problems: one-way analysis of variance and testing the mean of a multivariate normal distribution with first known, and then unknown, covariance matrix. For the first and third problems, a method of obtaining critical values is proposed and evaluated using Monte Carlo simulations. Moreover, for these two problems, two versions of the general F-2 procedure proposed by Chase and Hewett in 1976 are examined. Comparisons between all of the procedures and the corresponding fixed sample size, or one-stage, procedures are made in terms of power and expected sample size. The two-stage procedures proposed …