Statistical quality control and reliability estimation based on exponentiated inverse rayleigh distribution

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dc.contributor.authorMbwambo, Sauda Hatibu
dc.date.accessioned2019-09-03T08:33:39Z
dc.date.available2019-09-03T08:33:39Z
dc.date.issued2018
dc.descriptionDissertation (MSc Statistics)en_US
dc.description.abstractThis research gives some statistical quality control techniques and reliability estimation based on exponentiated inverse Rayleigh distribution (EIRD) which can be applied in different industries so as to improve the quality of their products. EIRD has been obtained through generalization process and its mathematical properties were discussed. Estimation of unknown parameters was done by using maximum likelihood method, least square method, weighted least square and percentile estimation method. The methods were compared by using Monte Carlo simulation approach based on the values of bias and MSE, the results show that ML performs well. Further, the estimation of single component stress-strength reliability and multi-component stress-stress reliability was done, confidence intervals of reliability were also obtained and the results show that the methods perform. An attribute control chart is also developed for EIRD under a time truncated life test. The performance of the proposed chart is discussed using average run length (ARL). A simulation study is carried out to obtain the performance of the proposed control chart for monitoring non-conforming items. The results show that the chart is effective in detecting any shift happens in the process. Also Shewhart individual control chart is developed to check whether the data used are in control state or not by using. The results show that the data are not in control.en_US
dc.identifier.citationMbwambo, S. H. (2018). Statistical quality control and reliability estimation based on exponentiated inverse rayleigh distribution. Dodoma: The University of Dodoma.en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/1508
dc.language.isoenen_US
dc.publisherThe University of Dodomaen_US
dc.subjectQuality controlen_US
dc.subjectStatistical quality control techniquesen_US
dc.subjectRayleigh distributionen_US
dc.subjectStatistical quality controlen_US
dc.subjectRayleighen_US
dc.subjectQuality control techniquesen_US
dc.subjectExponentiated Inverse Rayleigh Distributionen_US
dc.subjectEIRDen_US
dc.subjectStatistical quality reliabilityen_US
dc.subjectStatistical quality control estimationen_US
dc.titleStatistical quality control and reliability estimation based on exponentiated inverse rayleigh distributionen_US
dc.typeDissertationen_US
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