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....

Full description

Saved in:

Bibliographic Details
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
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-usm-ep.32266
record_format	uketd_dc
spelling	my-usm-ep.322662019-04-12T05:25:44Z A Modified Method For Bayesian Prediction Of Future Order Statistics From Generalized Power Function 2015-04 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 http://eprints.usm.my/32266/ http://eprints.usm.my/32266/1/ALMUTAIRI_ANED_OMAR.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
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
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
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
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2015
url	http://eprints.usm.my/32266/1/ALMUTAIRI_ANED_OMAR.pdf
_version_	1747820556193890304

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

Similar Items