We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.
","abstract_html":"<p>We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.</p>","abstract_has_math":false,"creators":["Tchouta, Romual Eloge"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008-08-12T07:00:00Z","date_published":"2008-08-12T07:00:00Z","updated_at":"2026-07-24T02:21:11Z","subjects":["percentile","confidence interval","normal distribution","exponential distribution","uniform distribution","empirical coverage","Physical Sciences and Mathematics","Statistical Theory","Statistics and Probability"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/1981","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Tchouta, Romual Eloge"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2008-08-12T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["percentile","confidence interval","normal distribution","exponential distribution","uniform distribution","empirical coverage","Physical Sciences and Mathematics","Statistical Theory","Statistics and Probability"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/3333/viewcontent/TchoutaR072408f.pdf","https://dc.etsu.edu/etd/1981"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.
"]},{"key":"dc:title","label":"Title","values":["Estimating the Difference of Percentiles from Two Independent Populations."]}]}],"canonical_facts":{"dc:creator":["Tchouta, Romual Eloge"],"dc:date.issued":["2008-08-12T07:00:00Z"],"dc:description.abstract":["We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/3333/viewcontent/TchoutaR072408f.pdf","https://dc.etsu.edu/etd/1981"],"dc:rights":["Copyright by the authors."],"dc:subject":["percentile","confidence interval","normal distribution","exponential distribution","uniform distribution","empirical coverage","Physical Sciences and Mathematics","Statistical Theory","Statistics and Probability"],"dc:title":["Estimating the Difference of Percentiles from Two Independent Populations."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:21:11Z"}