Published June 29, 2022
| Version v1
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EXTREME VALUE CHARTS AND ANOM BASED ON GUMBEL DISTRIBUTION
- 1. R.V.R & J.C College of Engineering, Chowdavaram, Guntur-522 019 Andhra Pradesh, India
- 2. KL University, Vaddeswaram, Vijayawada-522502, Andhra Pradesh, India.
- 3. St.Ann's College for Women Gorantla, Guntur-522035 Andhra Pradesh, India
- 4. Department of Statistics, Acharya Nagarjuna University, Guntur, India
Description
The quality is assessable by its feature is implicit with a probability model which follow Gumbel distribution. From each subgroups extreme values are used to construct extreme value charts and variable control charts. Probability model of the extreme order statistics and the size of each sub group are used in control chart constants. To find the decision lines of Gumbel distribution we implement a method of analysis of means (ANOM). The proposed ANOM decision lines are constructed for given number of subgroup within means category and between means category given by Ott (1967). These decision lines are illustrated by giving few examples.
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