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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