Source: Dissertation Abstracts International, Volume: 38-12, Section: B, page: 6031. / Thesis (Ph.D.)--The Florida State University, 1977.

Source: Dissertation Abstracts International, Volume: 39-06, Section: B, page: 2880. / Thesis (Ph.D.)--The Florida State University, 1978.

Source: Dissertation Abstracts International, Volume: 34-04, Section: B, page: 1791. / Thesis (Ph.D.)--The Florida State University, 1973.

Source: Dissertation Abstracts International, Volume: 33-06, Section: B, page: 2855. / Thesis (Ph.D.)--The Florida State University, 1972.

Source: Dissertation Abstracts International, Volume: 33-08, Section: B, page: 4016. / Thesis (Ph.D.)--The Florida State University, 1972.

Source: Dissertation Abstracts International, Volume: 28-07, Section: B, page: 3091. / Thesis (Ph.D.)--The Florida State University, 1967.

Let S be a coherent system of m components acting independently. Two statistical models are considered. In the autopsy model S is observed until it fails. The set of failed components and the failure time of the system are noted. The failure times of the dead components are not known. In the second model, which was considered by Doss, Freitag and Proschan (Ann. Statist., 1989), the failure times of the dead components are also known. / In the autopsy model, it is not always possible to estimate or identify the component lifelengths from the observed data. A sufficient condition for the identifiability of the component distributions is given for the case in which the distributions are assumed to be analytic. Necessary and sufficient conditions are given for the case in which the distributions are assumed to belong to certain parametric families. / The model of Doss, Freitag and Proschan is considered in two special cases. In the first of these the component distributions are known to be identical. In the second, the distributions are known to be exponential. Estimators of the component and system life lengths are given for each of these cases, and the asymptotic relative efficiency of each with respect to the corresponding estimator of Doss, Freitag and Proschan is calculated. / Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1449. / Major Professors: Hani Doss; Myles Hollander. / Thesis (Ph.D.)--The Florida State University, 1992.

The purpose of this study was to compare several robust regression techniques to ordinary least squares (OLS) regression when analyzing bivariate and multivariate data. The bivariate analysis compared of the performance of alternative robust procedures in regard to the detection of outliers versus the standard OLS regression techniques. The bivariate analysis demonstrated the weaknesses of OLS regression and the standard OLS outlier diagnostic techniques when multiple outliers are present. In addition, this research assessed the empirical performance of alpha and power under three non-normal probability density functions using a Monte Carlo simulation. / The first analysis focused on several bivariate data sets. Each data set was plotted and each of the regression models used to analyze the data. The usual results (e.g., R$\sp2$, regression coefficients, standard errors, and regression diagnostics) were examined to give a visual as well as empirical analysis of the models' performance in the presence of multiple outliers. / The second component of this study entailed a Monte Carlo simulation of five robust regression models and OLS regression under four probability density functions. The variables included in the study were placed in one 2$\sp1$3$\sp2$ and two 3$\sp2$ factorial design repeated over four probability density functions, resulting in a total of 90 experimental runs of the Monte Carlo simulation. Random samples were generated and then transformed to fit desired distributional moment characteristics. The incremental null hypothesis was used as the basis to calculate empirical alpha and power values calculated. / The analysis demonstrated the inadequacies of the standard OLS based outlier detection methods and explained how regression analysis could be improved if a robust regression method is used in parallel with OLS regression. The multivariate analysis demonstrated the robustness of the OLS regression model to three nonnormal populations. It further demonstrated a moderate inflation of alpha for the M-class of robust regression model and a lack of power stability with the rank transform regression method. / Based on the results of this study, recommendations were made for using robust regression methods and suggestions for future research offered. / Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1450. / Thesis (Ph.D.)--The Florida State University, 1992.

Suppose an advertiser constructs an advertising campaign by placing k advertisements in a magazine. He now estimates the proportion of the population which sees none, one, or up to all k advertisements (called the exposure distribution). Several criteria for evaluating the effectiveness of the campaign can be obtained directly from the exposure distribution. Two of them are reach, the proportion of the population which is exposed to at least one of the advertisements and effective reach, the mean of the exposure distribution. / We develop three exposure distribution models for the cases where advertising campaigns are comprised of one, two, or three or more magazines. The models build on each other in that the model for one magazine is used to improve the fit of the model for two magazines and the model for two magazines is used to estimate the parameters of the model for three or more magazines. / A thorough empirical test, using the AGB:McNair "National Media Survey", shows that each of our models out-performs the best currently-available models. In addition, the three models are proved to have optimal asymptotic properties. / The models are used to select a media schedule which maximizes either reach or effective reach subject to a budget constraint. A monotonicity property of reach and effective reach yields an algorithm for optimizing both reach and effective reach that greatly reduces computation time over conventional methods used to solve integer programming problems. / It is more useful to estimate the proportion of the population which sees the advertisements in a magazine rather than the proportion which sees the magazine. Often, however, no advertisement recall data is available so we are forced to estimate the proportion which is exposed to just the magazines. If advertisement recall data is available we give a natural and simple adjustment of the original magazine exposure data to get advertisement exposure data. Our models also give an excellent fit to these adjusted exposure data. / Source: Dissertation Abstracts International, Volume: 48-07, Section: B, page: 2021. / Thesis (Ph.D.)--The Florida State University, 1987.

Criteria are developed for measuring information in the randomly right-censored model. Measures which are appropriate include an extension of Shannon's entropy. The measures are seen to satisfy some fundamental properties including (1) information decreases as censoring increases stochastically, (2) the uncensored case is always at least as informative as any censored model, and (3) the information gain is marginally decreasing. / Measures of information in censored models can also be developed by adapting measures of dependence between the lifetime variable and the observed variable. Some common notions of bivariate dependence enjoy property (1) cited above. An exception occurs when dependence is defined in terms of association. Conditions under which the coefficients of divergence satisfy (1) and (2) are established. / Information is also studied in terms of asymptotic efficiency. We consider the proportional hazards model where the distribution G of the censoring random variable is related to the distribution F of the lifetime variable via (1-G) = (1-F)(beta). Nonparametric estimators of F are developed for the case where (beta) is unknown and the case where (beta) is known. Of interest in their own right, these estimators also enable us to study the robustness of the Kaplan-Meier estimator (KME) in a nonparametric model for which it is not the preferred estimator. Comparisons are based on asymptotic efficiencies and exact mean square errors. We also compare the KME to the empirical survival function thereby providing, in a nonparametric setting, a measure of the loss in efficiency due to censoring. / Source: Dissertation Abstracts International, Volume: 47-01, Section: B, page: 0273. / Thesis (Ph.D.)--The Florida State University, 1986.