Bounds for Correlated Compound Probabilities

Abstract

Various statistical applications require the calculation of compound probabilities but, in many cases, this is complicated by a lack of independence of the individual probabilities. Although an exact analytical solution is not known, problems of this type can often be handled quite effectively by calculating lower and upper bounds for the desired compound probabilities. Bounds for both positively and negatively correlated cases are derived and applied to commonly used statistical acceptance procedures.

• Acceptance Sampling
• Compound Probabilities
• Correlated Probabilities
• Dual Acceptance Criteria
• Operating Characteristic Curve
• Probability Bounds
• Sequential Acceptance Procedures

Additional information

Notes on contributors

Richard M. Weed

Mr. Weed is a consultant whose practice deals with engineering applications of statistical analysis and computer science. He is a member of ASQC.