Statistical Quality Control And Reliability Estimation Based On Exponentiated Inverse Rayleigh Distribution

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.