Shofwah, Itsna Niswatus (2019) Peta Kendali Multivariate Exponentially Weighted Moving Average (MEWMA) Menggunakan Copula Clayton. Other thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Pembentukan peta kendali multivariat diperlukan data yang berdistribusi normal multivariat dan tidak adanya hubungan antara variabel satu dengan yang lain, tak terkecuali peta kendali multivariate exponentially weighted moving average (MEWMA). Pada prosesnya, seringkali data yang digunakan tidak berdisribusi normal multivariat dan terdapat korelasi. Sehingga, untuk menyelesaikan permasalahan data tidak berdistribusi normal dan berkorelasi dapat menggunakan copula. Salah satu copula yang biasa digunakan yaitu copula Clayton yang merupakan keluarga dari copula Archimedean. Penerapan copula pada peta kendali MEWMA dengan cara mengestimasi parameter copula Clayton menggunakan korelasi Kendall didapatkan dan nilai estimasi
parameter sebesar 0,0833 yang kemudian diperoleh data
variabel acak dari model copula Clayton. Data tersebut
diterapkan pada peta kendali MEWMA dan hasil dari peta
kendali MEWMA disimpulkan bahwa proses pengendalian
kualitas terkendali.
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To create a multivariate control chart, multivariate
normal distribution of data is required and no correlation
between variables, no exception to the multivariate
exponentially weighted moving average (MEWMA)
control chart, in the process is often found data used not
normal distribution and correlated. To fixed problem
data non-normal distribution and correlated can use
copula. One of copulas often used is copula Clayton.
Copula Clayton is an Archimedean copula family.
Application of copula on MEWMA control chart by
estimated Clayton copula parameter using Kendall
correlation, obtained
| Item Type: | Thesis (Other) |
|---|---|
| Additional Information: | RSMa 519.535 Sho p-1 2019 |
| Uncontrolled Keywords: | Copula Archimedean, Copula Clayton, Peta Kendali MEWMA, Korelasi Kendall, Pengendalian Kualitas |
| Subjects: | Q Science > QA Mathematics > QA278 Cluster Analysis. Multivariate analysis. Correspondence analysis (Statistics) T Technology > TS Manufactures > TS156 Quality Control. QFD. Taguchi methods (Quality control) |
| Divisions: | Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | Itsna Niswatus Shofwah |
| Date Deposited: | 21 Jan 2022 01:41 |
| Last Modified: | 07 Apr 2023 03:15 |
| URI: | http://repository.its.ac.id/id/eprint/62049 |
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