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ITS » Undergraduate Theses » Matematika Ekstensi
Posted by dee@its.ac.id at 25/08/2011 10:25:34  •  3786 Views


SIFAT DAN ESTIMASI PARAMETER DISTRIBUSI WEIBULL YANG DIPANGKATKAN

PROPERTIES AND PARAMETERS ESTIMATION OF EXPONENTIATED WEIBULL DISTRIBUTION

Author :
SETIAWAN, YOGA  ( 1203109017 )




ABSTRAK

Mudholkar dan Srivastava memperkenalkan sebuah perkembangan dari distribusi Weibull yang disebut dengan Distribusi Weibull dipangkatkan Exponentiated Weibull Distribution. Dalam Tugas Akhir ini menjelaskan mengenai definisi dan sifat-sifat dari Exponentiated Weibull Distribution EWD. Kemudian sifat-sifat dari EWD akan dibandingkan dengan dua distribusi yang telah ada yaitu distribusi Weibull dan distribusi Gamma. Perbandingan ini dilakukan dengan menggunakan fungsi rasio kegagalanfailure rate function. Selain itu dalam Tugas Akhir ini juga dilakukan estimasi terhadap parameter-parameter dari EWD dengan menggunakan Maximum Likelihood Estimation MLE. Selanjutnya hasil estimasi ini dicoba pada data hasil pembangkitan metode acception and rejection. Kedua metode ini menghasilkan persamaan-persamaan non linier yang mana hasilnya digunakan untuk mencari nilai estimasi parameter 945 955 947. Persamaan-persamaan non linier tersebut diselesaikan dengan menggunakan metode Newton-Raphson. Dalam prosesnya menggunakan data hasil bangkitan metode acception and rejection. Hasil dari proses tersebut didapatkan parameter 945 7700.86808 parameter 955 7700.89929 dan parameter 947 7701.4092


ABSTRACT

Mudholkar and sriyastaya have introduced development of weibull distribution which is called Exponentiated Weibull Distribution EWD. In this final project we will explain about definition and properties of Exponentiated Weibull Distribution EWD. Then properties of EWD be compared with gamma distribution and weibull distribution using failure rate function. In addition in this final also estimate the parameters of EWD using Maximum Likelihood Estimation MLE. Furthermore the results of these estimates are tested on data generating method acception and rejection. Both methods produce non-linier equations which results are used to find the value of the estimated parameters 945 955 947. Non-linier equations are solved using Newton-Raphson method. In the process using a data generating method acception and rejection. The results of the process parameters obtained parameter 945 7700.86808 parameter 955 7700.89929 and parameter 947 7701.4092



KeywordsDistribusi Gamma; Distribusi Weibull; Fungsi rasio kegagalan; Maximum likelihood estimation
 
Subject:  Probabilitas mesin
Contributor
  1. Dra. Laksmi Prita W, M.Si
  2. Drs. Komar Baihaqi, M.si
Date Create: 02/02/2011
Type: Text
Format: pdf
Language: Indonesian
Identifier: ITS-Undergraduate-3100011043179
Collection ID: 3100011043179
Call Number: RSMa 519.24 Set s


Source
Undergraduate Thesis of Mathematics, RSMa 519.24 Set s, 2011

Coverage
ITS Community

Rights
Copyright @2011 by ITS Library. This publication is protected by copyright and per obtained from the ITS Library prior to any prohibited reproduction, storage in a re transmission in any form or by any means, electronic, mechanical, photocopying, reco For information regarding permission(s), write to ITS Library




[ Download - Open Access ]

  1.  ITS-Undergraduate-15114-Abstract_id.pdf - 577 KB
  2.  ITS-Undergraduate-15114-Abstract_en.pdf - 645 KB
  3.  ITS-Undergraduate-15114-Conclusion-587193.pdf - 573 KB




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