Quality assurance through truncated life tests under the Lomax distribution

Sampling inspection plan is a valuable tool used across industries to ensure product quality, comply with regulatory standards, and maintain cost efficiency in quality control processes. To check for defects in the products during production, a batch of goods produced may be inspected through sampling to decide whether to accept or reject the entire batch based on the quality level of the sample. In this study we develop acceptance sampling plans based on truncated life tests utilizing the Lomax distribution. The study analyzes different parameters of the Lomax distribution to determine the minimum sample sizes necessary for evaluating the quality of lots or production processes. Additionally, we calculate the operating characteristic function values and establish the minimum ratio of the true mean life to the specified mean life of the product, taking into account the risks faced by both consumers and producers with our proposed sampling method. The effectiveness of these sampling plans is demonstrated through their application to real-world data, assessing their practical utility in quality evaluation.