Quality assurance through truncated life tests under the Lomax distribution

Area of Science:

• Statistics
• Quality Control
• Reliability Engineering

Background:

• Sampling inspection plans are crucial for quality control, regulatory compliance, and cost efficiency in manufacturing.
• Traditional methods may not fully address risks associated with product life and quality assessment.
• The Lomax distribution offers a flexible model for analyzing product lifetime data.

Purpose of the Study:

• To develop novel acceptance sampling plans based on truncated life tests.
• To utilize the Lomax distribution for enhanced quality evaluation in industrial processes.
• To determine minimum sample sizes and assess producer/consumer risks.

Main Methods:

• Development of acceptance sampling plans using the Lomax distribution.
• Analysis of Lomax distribution parameters to find minimum sample sizes.
• Calculation of operating characteristic function values.
• Determination of the minimum ratio of true mean life to specified mean life.

Main Results:

• Proposed sampling plans provide a statistically sound method for batch acceptance/rejection.
• Minimum sample sizes are determined based on Lomax distribution parameters.
• The study quantifies risks for both producers and consumers under the proposed plans.
• Demonstrated practical utility through application to real-world data.

Conclusions:

• The developed acceptance sampling plans, based on the Lomax distribution and truncated life tests, offer an effective tool for quality control.
• These plans provide a robust framework for evaluating product quality and ensuring reliability.
• The methodology aids in balancing quality assurance with the economic considerations of sampling inspection.