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A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function

Statistik Bayesian adalah kaedah statistik yang digunakan secara meluas dalam pelbagai bidang seperti perubatan, sains sosial dan ekonomi. Ramalan Bayesian adalah salah satu kaedah statistik Bayesian. Ia bekerja dengan pelbagai kaedah. Kajian ini turut membincangkan tiga kaedah ramalan Bayesian....

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Main Author: Omar, Almutairi Aned
Format: Thesis
Language:English
Published: 2015
Subjects:
QA1 Mathematics (General)
Online Access:http://eprints.usm.my/32266/1/ALMUTAIRI_ANED_OMAR.pdf
http://eprints.usm.my/32266/
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spelling my.usm.eprints.32266 http://eprints.usm.my/32266/ A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function Omar, Almutairi Aned QA1 Mathematics (General) Statistik Bayesian adalah kaedah statistik yang digunakan secara meluas dalam pelbagai bidang seperti perubatan, sains sosial dan ekonomi. Ramalan Bayesian adalah salah satu kaedah statistik Bayesian. Ia bekerja dengan pelbagai kaedah. Kajian ini turut membincangkan tiga kaedah ramalan Bayesian. Terdapat satu sampel, dua sampel dan sampel pelbagai ramalan. Tiga kaedah bertindak balas terhadap motivasi praktikal yang memerlukan data sampel kurang, dalam kebanyakan kajian statistik digunakan. Oleh itu, sampel yang akan datang adalah istilah yang penting dalam tesis ini. Pendekatan Bayesian menggunakan ramalan untuk statistik tertib masa depan berdasarkan data tertib yang diperhatikan dan fungsi ketumpatan ramalan memberi selang ramalan Bayesian untuk statistik tertib masa depan. Taburan fungsi kuasa teritlak piawai adalah dasar untuk tiga kaedah dengan menggunakan teori Bayes untuk mencapai had rendah dan had atas yang sempit bagi selang ramalan Bayesian 95% dan selang ramalan Bayesian 99%. Bayesian statistics is a statistical method that is widely used in many fields, including medicine, social and applied sciences. These fields occasionally have little or limited information about their populations. Therefore, using new techniques that require fewer samples while providing the same quality as the case of available samples is necessary. Bayesian prediction is a commonly used tool in Bayesian statistics. This study modifies three Bayesian prediction methods: one-, two- and multi-sample predictions. Bayesian prediction modified method does not require the many samples. Therefore, a future sample is a significant term in this thesis. Our Bayesian prediction modified method used a prediction for the future order statistics based on the observed ordered data, and predictive densities provided the Bayesian prediction intervals for the future order statistics. The standard generalized power function distribution serves as the basis for the three modified methods by applying Bayes' theory to achieve close lower and upper limits for the 95% and 99% Bayesian prediction intervals. 2015-04 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/32266/1/ALMUTAIRI_ANED_OMAR.pdf Omar, Almutairi Aned (2015) A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Omar, Almutairi Aned
A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
description Statistik Bayesian adalah kaedah statistik yang digunakan secara meluas dalam pelbagai bidang seperti perubatan, sains sosial dan ekonomi. Ramalan Bayesian adalah salah satu kaedah statistik Bayesian. Ia bekerja dengan pelbagai kaedah. Kajian ini turut membincangkan tiga kaedah ramalan Bayesian. Terdapat satu sampel, dua sampel dan sampel pelbagai ramalan. Tiga kaedah bertindak balas terhadap motivasi praktikal yang memerlukan data sampel kurang, dalam kebanyakan kajian statistik digunakan. Oleh itu, sampel yang akan datang adalah istilah yang penting dalam tesis ini. Pendekatan Bayesian menggunakan ramalan untuk statistik tertib masa depan berdasarkan data tertib yang diperhatikan dan fungsi ketumpatan ramalan memberi selang ramalan Bayesian untuk statistik tertib masa depan. Taburan fungsi kuasa teritlak piawai adalah dasar untuk tiga kaedah dengan menggunakan teori Bayes untuk mencapai had rendah dan had atas yang sempit bagi selang ramalan Bayesian 95% dan selang ramalan Bayesian 99%. Bayesian statistics is a statistical method that is widely used in many fields, including medicine, social and applied sciences. These fields occasionally have little or limited information about their populations. Therefore, using new techniques that require fewer samples while providing the same quality as the case of available samples is necessary. Bayesian prediction is a commonly used tool in Bayesian statistics. This study modifies three Bayesian prediction methods: one-, two- and multi-sample predictions. Bayesian prediction modified method does not require the many samples. Therefore, a future sample is a significant term in this thesis. Our Bayesian prediction modified method used a prediction for the future order statistics based on the observed ordered data, and predictive densities provided the Bayesian prediction intervals for the future order statistics. The standard generalized power function distribution serves as the basis for the three modified methods by applying Bayes' theory to achieve close lower and upper limits for the 95% and 99% Bayesian prediction intervals.
format Thesis
author Omar, Almutairi Aned
author_facet Omar, Almutairi Aned
author_sort Omar, Almutairi Aned
title A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
title_short A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
title_full A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
title_fullStr A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
title_full_unstemmed A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function
title_sort modified method for bayesian prediction of future order statistics from generalized power function
publishDate 2015
url http://eprints.usm.my/32266/1/ALMUTAIRI_ANED_OMAR.pdf
http://eprints.usm.my/32266/
_version_ 1643707605869133824
score 13.211869

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