Time Truncated Group Acceptance Sampling Plans for Generalized Exponential Distribution

Abstract

Two group acceptance sampling plans are considered for a two-parameter generalized exponential distribution when the life-test is truncated at a pre-specified time. It is assumed that the shape parameter of the generalized exponential distribution is known. The design parameters such as the number of groups and the acceptance number are obtained by satisfying the producer's and consumer's risks at the specified quality levels in terms of medians, under the assumption that the termination time and the number of items in each group are prefixed. Examples are provided for illustrative purposes.

The development of an extended Weibull model with applications to medicine, industry and actuarial sciences

“…If any group experiences more failures than the acceptance number c , the experiment is declared a failure. Many authors have briefly described GASPs, and it can be found in, e.g., 30 – 34 . When designing the GASP, the quality parameter is taken into consideration as either the mean or the median; however, for skewed distributions, the median is typically preferred 30 .…”

“…Many authors have briefly described GASPs, and it can be found in, e.g., 30 – 34 . When designing the GASP, the quality parameter is taken into consideration as either the mean or the median; however, for skewed distributions, the median is typically preferred 30 . The GASP is based on the following steps: Identify the group size g .…”