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
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf
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id	my-ump-ir.14057
record_format	uketd_dc
spelling	my-ump-ir.140572021-11-17T04:29:57Z Parameter estimation and outlier detection for some types of circular model 2015 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 http://umpir.ump.edu.my/id/eprint/14057/ http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf pdf en public phd doctoral University of Malaya Institute of Graduate Studies
institution	Universiti Malaysia Pahang Al-Sultan Abdullah
collection	UMPSA Institutional Repository
language	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
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
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
granting_institution	University of Malaya
granting_department	Institute of Graduate Studies
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf
_version_	1783731993796673536

Parameter estimation and outlier detection for some types of circular model

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