Steady-State Behavior of Nonparametric Synthetic Control Chart Using Signed-Rank Statistic
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 behav...
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Veröffentlicht in: | Pakistan journal of statistics and operation research 2018-01, Vol.14 (1), p.185 |
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creator | Pawar, Vilas Y Shirke, Digambar Tukaram Khilare, Shashikant Kuber |
description | 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. |
doi_str_mv | 10.18187/pjsor.v14i1.2029 |
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subjects | Control charts Markov chains Nonparametric statistics Process controls Steady state |
title | Steady-State Behavior of Nonparametric Synthetic Control Chart Using Signed-Rank Statistic |
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