Parameter estimation and outlier detection for some types of circular model

This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the con...

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Main Author:	Siti Zanariah, Satari
Format:	Thesis
Language:	English English English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/14057/ http://umpir.ump.edu.my/id/eprint/14057/ http://umpir.ump.edu.my/id/eprint/14057/1/SITI%20ZANARIAH%20SATARI.pdf http://umpir.ump.edu.my/id/eprint/14057/2/SITI%20ZANARIAH%20SATARI%20-%20CHAP%201.pdf http://umpir.ump.edu.my/id/eprint/14057/3/SITI%20ZANARIAH%20SATARI%20-%20CHAP%203.pdf

id	ump-14057
recordtype	eprints
spelling	ump-140572017-10-16T07:39:54Z http://umpir.ump.edu.my/id/eprint/14057/ Parameter estimation and outlier detection for some types of circular model Siti Zanariah, Satari QA Mathematics This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study. 2015 Thesis NonPeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/14057/1/SITI%20ZANARIAH%20SATARI.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/14057/2/SITI%20ZANARIAH%20SATARI%20-%20CHAP%201.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/14057/3/SITI%20ZANARIAH%20SATARI%20-%20CHAP%203.pdf Siti Zanariah, Satari (2015) Parameter estimation and outlier detection for some types of circular model. PhD thesis, University of Malaya. http://iportal.ump.edu.my/lib/item?id=chamo:92895&theme=UMP2
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English English English
topic	QA Mathematics
spellingShingle	QA Mathematics Siti Zanariah, Satari Parameter estimation and outlier detection for some types of circular model
description	This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study.
format	Thesis
author	Siti Zanariah, Satari
author_facet	Siti Zanariah, Satari
author_sort	Siti Zanariah, Satari
title	Parameter estimation and outlier detection for some types of circular model
title_short	Parameter estimation and outlier detection for some types of circular model
title_full	Parameter estimation and outlier detection for some types of circular model
title_fullStr	Parameter estimation and outlier detection for some types of circular model
title_full_unstemmed	Parameter estimation and outlier detection for some types of circular model
title_sort	parameter estimation and outlier detection for some types of circular model
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/14057/ http://umpir.ump.edu.my/id/eprint/14057/ http://umpir.ump.edu.my/id/eprint/14057/1/SITI%20ZANARIAH%20SATARI.pdf http://umpir.ump.edu.my/id/eprint/14057/2/SITI%20ZANARIAH%20SATARI%20-%20CHAP%201.pdf http://umpir.ump.edu.my/id/eprint/14057/3/SITI%20ZANARIAH%20SATARI%20-%20CHAP%203.pdf
first_indexed	2023-09-18T22:17:23Z
last_indexed	2023-09-18T22:17:23Z
_version_	1777415427741188096

Parameter estimation and outlier detection for some types of circular model

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