Browsing Mathematics and Statistics Electronic Theses and Dissertations (UMKC) by Thesis Advisor "Rekab, Kamel"
Now showing items 1-7 of 7
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Applications of multivariate analysis to understand the dynamics of African conflicts
(2020)Africa that is known for the birthplace of humanity has become a continent of all kind of devastating conflicts. This is a major concern because these conflicts are having lasting negative impact on the socioeconomic ... -
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means
(2019)In order to estimate the reliability of sequentially designed procedures under the Bayesian framework with conjugate priors, a sharp lower bound for the Bayes risk has been derived. Chapter 1 and 2 introduce the background ... -
First and Second Order Efficiency of Sequential Designs in a Nonlinear Situation with Applications
(University of Missouri--Kansas City, 2016)In many statistical problems, optimal designs may be infeasible with their dependence on the parameters, which are unknown a priori. In such circumstances, choosing the next design points adaptively by making good use of ... -
Sampling Schemes For Estimating Software Reliability
(2022)Any software system of non-trivial size cannot be easily and completely tested because the domain of all possible inputs is complex and very large. In this study, we use a technique called partition testing, in which we ... -
Sequential Designs with Application in Software Engineering
(2014-03-31)Presented here is a Bayesian approach to test case allocation in the software reliability estimation. Bayesian analysis allows us to update our beliefs about the reliability of a particular partition as we test, and thus, ... -
Sequential Sampling Designs for Estimating Software Reliability
(2020)For any non-trivial system, it is impossible to reach the exact reliability of software due to the complexity, cost, and time required to complete the testing. Instead, a sample of test cases can be used to estimate the ... -
Sequential test allocation for estimating software reliability with associated cost
We use a sequential method to allocate software test cases among partitions of a software to minimize the expected loss incurred by the Bayes estimator of the overall software reliability. The Bayesian approach allows us ...