International Society of Science and Applied Technologies |
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The Compound Class of Weibull Power Series for Reliability Application | ||||
Author | Minjae Park
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Co-Author(s) | Hoang Pham
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Abstract | In this study, we introduce a new class of distributions by compounding the exponentiated Weibull family and vtub-shaped failure rate for system. This combined class of distributions can be applied to reliability applications using the field data and mathematical properties of combined distributions are studied including order statistics. Using maximum likelihood estimation, point estimates and interval estimation for parameters have been obtained. We develop novel approach to measure reliability of parallel systems as well as single component system and illustrate the usefulness of proposed approach. Numerical examples are discussed for the applicability of the methodology derived in the paper.
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Keywords | Combined distribution; Maximum likelihood estimation; Multi-component system; Power series class; Reliability function; vtub-shaped failure rate | |||
Article #: RQD25-272 |
August 1-3, 2019 - Las Vegas, NV, U.S.A. |