Posterior Control Chart for Process Average under Conjugate Prior Distribution
-
Sharada V. Bhat
and
Kailas D. Gokhale
Abstract
Control charts for the process average play an important role in process control. In the presence of prior information, using Bayesian approach, one can construct posterior control chart for process average (X̅ posterior control chart). The control limits of the proposed chart are derived under the assumption that the process average has a conjugate prior distribution. Both cases – variance is known and variance is unknown – are discussed. When the variance is unknown, the control limits are constructed using Unbiased Estimator (UE) and Maximum Likelihood Estimator (MLE) of the variance. The power and Average Run Length (ARL) of the proposed chart are obtained. The newly constructed X̅ posterior control chart is compared with a few other X̅ charts described in the literature.
©2014 Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
Articles in the same Issue
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
