The North Carolina Journal of Mathematics and Statistics

Implementing a Lifetime Performance Index of Products with a Two-Parameter Rayleigh Distribution Under a Progressively type II Right Censored Sample

Danush Wijekularathna, Nischal Subedi

Abstract


In manufacturing, quality control is a process that ensures customers receive products free from defects and meet their needs. Process capability analysis has been widely applied in the field of quality control to find out how well a given process meets a set of specification limits. The lifetime performance index \begin {math} C_L ,\end {math} a type of process capability index is used to measure the larger-the-better type quality characteristics.  Under the assumption of Two-Parameter Rayleigh Distribution, this study constructs a maximum likelihood estimator of  \begin {math} C_L \end {math} based on the progressively type II right censored sample. The maximum likelihood estimator of  \begin {math} C_L \end {math} is then utilized to develop the new hypothesis testing procedure. The testing procedure can be employed the testing procedure to determine whether the lifetime of a product adheres to the required level.


Keywords


Lifetime Data; Lifetime Performance Index; lower specification limit; progressive type II censored sample.

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