Main Article Content

Abstract

If process is running for a long period in an in-control condition, it will reach in a steady-state condition. In order to study the long term properties of a control chart, it is appropriate to investigate the steady-state average run length. In this paper we study zero-state and steady-state behaviour of a nonparametric synthetic control chart using signed-rank statistic. The zero-state average time to signal and steady-state average time to signal are computed using Markov chain approach. In Comparison study, steady-state average time to signal is compared with zero-state average time to signal for various symmetric distributions. Usefulness of the proposed control chart explored through by giving numerical example.

Keywords

Nonparametric signed-rank synthetic runs rule steady-state and average time to signal.

Article Details

Author Biographies

Vilas Y Pawar, Dr. Vasantrao Patil College, Tasgaon. Affiliated to Shivaji University, Kolhapur. (MS) INDIA

Department of Statistics

Digambar Tukaram Shirke, Shivaji University, Kolhapur. (MS) INDIA

Department of Statistics
How to Cite
Pawar, V. Y., Shirke, D. T., & Khilare, S. K. (2018). Steady-State Behavior of Nonparametric Synthetic Control Chart Using Signed-Rank Statistic. Pakistan Journal of Statistics and Operation Research, 14(1), 185-198. https://doi.org/10.18187/pjsor.v14i1.2029