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Metode Pendugaan Parameter (Bagian I) 1 Teori Statistika II (S1-STK) Dr. Kusman Sadik, M.Si Departemen Statistika IPB, 2018

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Page 1: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

Metode Pendugaan Parameter

(Bagian I)

1

Teori Statistika II (S1-STK)

Dr. Kusman Sadik, M.Si

Departemen Statistika IPB, 2018

Page 2: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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1. Metode Momen (Moment).

2. Metode Kemungkinan Maksimum (Maximum

Likelihood).

3. Metode Kuadarat Terkecil (Least Square).

4. Metode Bayes.

Page 3: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Momen populasi ke-k :

Momen contoh ke-k :

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Note: E(Yi) =

V(Yi) =

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Solution :

Page 10: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Solution :

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Page 12: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Fungsi Kemungkinan (Likelihood Function):

Fungsi Log-Kemungkinan (Log of Likelihood Function):

Page 13: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Proses Pemaksimuman

Maximization :

Page 14: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Solution :

Page 15: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Solution :

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Page 17: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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Solution :

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1. Roussas, G. 2015. An Introduction to Probability and Statistical

Inference 2nd Edition. Elsevier Inc.

2. Hogg RV , McKean JW, Craig AT. 2013. Introduction to

Mathematical Statistics 7th Edition. Pearson Prentice Hall.

3. Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical

Statistics with Applications 7th Edition, Duxbury Thomson

Learning.

4. Catatan Kuliah

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Page 27: Metode Pendugaan Parameter - kusmansadik.files.wordpress.com · 05-10-2018 · Wackerly D, Mendenhall W, Scheaffer RL. 2008. Mathematical Statistics with Applications 7th Edition,

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