ABSTRACT
This 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.
MBWAMBO, S (2021). Statistical Quality Control And Reliability Estimation Based On Exponentiated Inverse Rayleigh Distribution. Afribary. Retrieved from https://tracking.afribary.com/works/statistical-quality-control-and-reliability-estimation-based-on-exponentiated-inverse-rayleigh-distribution
MBWAMBO, SAUDA "Statistical Quality Control And Reliability Estimation Based On Exponentiated Inverse Rayleigh Distribution" Afribary. Afribary, 26 Apr. 2021, https://tracking.afribary.com/works/statistical-quality-control-and-reliability-estimation-based-on-exponentiated-inverse-rayleigh-distribution. Accessed 23 Nov. 2024.
MBWAMBO, SAUDA . "Statistical Quality Control And Reliability Estimation Based On Exponentiated Inverse Rayleigh Distribution". Afribary, Afribary, 26 Apr. 2021. Web. 23 Nov. 2024. < https://tracking.afribary.com/works/statistical-quality-control-and-reliability-estimation-based-on-exponentiated-inverse-rayleigh-distribution >.
MBWAMBO, SAUDA . "Statistical Quality Control And Reliability Estimation Based On Exponentiated Inverse Rayleigh Distribution" Afribary (2021). Accessed November 23, 2024. https://tracking.afribary.com/works/statistical-quality-control-and-reliability-estimation-based-on-exponentiated-inverse-rayleigh-distribution