\"This dissertation is presented in publication form and consists of three articles. The first article considers a new life-testing distribution which has the property of possessing a failure rate function which can be U-shaped or exponentially increasing depending on the value of the shape parameter. In addition, this article considers generalized least squares type estimators for location-scale distributions, then uses these estimators in the analysis of the exponential-power distribution. Tables are provided for which inferences on the location and scale parameters and on the reliability can be obtained. The second article gives relationships between a goodness-of-fit statistic based on a correlation coefficient and some well known and powerful goodness-of-fit statistics. Tables of critical values are given for complete and censored samples when the hypothesis to be tested is completely specified or when the composite hypothesis of normality or exponentiality is to be tested. The third article gives some results on simple, closed form estimators for the Weibull or extreme-value distribution. Tables of critical values are also provided here for making inferences on the location parameter and on reliability\"--Abstract, page iii.
","abstract_html":"<p>"This dissertation is presented in publication form and consists of three articles. The first article considers a new life-testing distribution which has the property of possessing a failure rate function which can be U-shaped or exponentially increasing depending on the value of the shape parameter. In addition, this article considers generalized least squares type estimators for location-scale distributions, then uses these estimators in the analysis of the exponential-power distribution. Tables are provided for which inferences on the location and scale parameters and on the reliability can be obtained. The second article gives relationships between a goodness-of-fit statistic based on a correlation coefficient and some well known and powerful goodness-of-fit statistics. Tables of critical values are given for complete and censored samples when the hypothesis to be tested is completely specified or when the composite hypothesis of normality or exponentiality is to be tested. The third article gives some results on simple, closed form estimators for the Weibull or extreme-value distribution. Tables of critical values are also provided here for making inferences on the location parameter and on reliability"--Abstract, page iii.</p>","abstract_has_math":false,"creators":["Smith, Robert Marvin"],"institution":"University of Missouri--Rolla","degree_name":"Ph. D. in Mathematics","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:19:12Z","subjects":["Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/280","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Smith, Robert Marvin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Mathematics"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/280"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["\"This dissertation is presented in publication form and consists of three articles. The first article considers a new life-testing distribution which has the property of possessing a failure rate function which can be U-shaped or exponentially increasing depending on the value of the shape parameter. In addition, this article considers generalized least squares type estimators for location-scale distributions, then uses these estimators in the analysis of the exponential-power distribution. Tables are provided for which inferences on the location and scale parameters and on the reliability can be obtained. The second article gives relationships between a goodness-of-fit statistic based on a correlation coefficient and some well known and powerful goodness-of-fit statistics. Tables of critical values are given for complete and censored samples when the hypothesis to be tested is completely specified or when the composite hypothesis of normality or exponentiality is to be tested. The third article gives some results on simple, closed form estimators for the Weibull or extreme-value distribution. Tables of critical values are also provided here for making inferences on the location parameter and on reliability\"--Abstract, page iii.
"]},{"key":"dc:title","label":"Title","values":["A study of some life testing distributions"]}]}],"canonical_facts":{"dc:creator":["Smith, Robert Marvin"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["\"This dissertation is presented in publication form and consists of three articles. The first article considers a new life-testing distribution which has the property of possessing a failure rate function which can be U-shaped or exponentially increasing depending on the value of the shape parameter. In addition, this article considers generalized least squares type estimators for location-scale distributions, then uses these estimators in the analysis of the exponential-power distribution. Tables are provided for which inferences on the location and scale parameters and on the reliability can be obtained. The second article gives relationships between a goodness-of-fit statistic based on a correlation coefficient and some well known and powerful goodness-of-fit statistics. Tables of critical values are given for complete and censored samples when the hypothesis to be tested is completely specified or when the composite hypothesis of normality or exponentiality is to be tested. The third article gives some results on simple, closed form estimators for the Weibull or extreme-value distribution. Tables of critical values are also provided here for making inferences on the location parameter and on reliability\"--Abstract, page iii.
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