Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A flexible Bayesian mixture approach for multi-modal circular data
Download
index.pdf
Date
2022-01-01
Author
Kilic, Muhammet Burak
Kalaylıoğlu Akyıldız, Zeynep Işıl
SenGupta, Ashis
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
119
views
38
downloads
Cite This
In this article, we consider multi-modal circular data and nonparametric inference. We introduce a doubly flexible method based on Dirichlet process circular mixtures in which parameter assumptions are relaxed. We assess and discuss in simulation studies the effi-ciency of the proposed extension relative to the standard finite mixture applications in the analysis of multi-modal circular data. The real data application shows that this relaxed approach is promising for making important contributions to our understanding of many real-life phenomena particularly in environmental sciences such as animal orientations.
Subject Keywords
 
,
directional data
,
Dirichlet process prior
,
mixture models
,
stick breaking construction
,
animal orientation
URI
https://hdl.handle.net/11511/99619
Journal
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
DOI
https://doi.org/10.15672/hujms.897144
Collections
Department of Statistics, Article
Suggestions
OpenMETU
Core
A new multimodal and asymmetric bivariate circular distribution
Hassanzadeh, Fatemeh; Kalaylioglu, Zeynep (2018-09-01)
Multimodal and asymmetric bivariate circular data arise in several different disciplines and fitting appropriate distribution plays an important role in the analysis of such data. In this paper, we propose a new bivariate circular distribution which can be used to model both asymmetric and multimodal bivariate circular data simultaneously. In fact the proposed density covers unimodality as well as multimodality, symmetry as well as asymmetry of circular bivariate data. A number of properties of the proposed...
A Hybrid Computational Method based on Convex Optimizationfor Outlier Problems
Yerlikaya Ozkurt, Fatma; Askan Gündoğan, Ayşegül; Weber, Gerhard Wiehelm (2015-11-01)
Statistical modeling plays a central role for any prediction problem of interest.However, predictive models may give misleading results when the data containoutliers. In many applications, it is important to identify and treat the outlierswithout direct elimination. To handle such issues, a hybrid computational methodbased on conic quadratic programming is introduced and employed onearthquake ground motion data set. Results are compared against widely-usedground motion prediction models.
An approach to the mean shift outlier model by Tikhonov regularization and conic programming
TAYLAN, PAKİZE; Yerlikaya-Oezkurt, Fatma; Weber, Gerhard Wilhelm (IOS Press, 2014-01-01)
In statistical research, regression models based on data play a central role; one of these models is the linear regression model. However, this model may give misleading results when data contain outliers. The outliers in linear regression can be resolved in two stages: by using the Mean Shift Outlier Model (MSOM) and by providing a new solution for this model. First, we construct a Tikhonov regularization problem for the MSOM. Then, we treat this problem using convex optimization techniques, specifically c...
A marginalized multilevel model for bivariate longitudinal binary data
İnan, Gül; İlk Dağ, Özlem; Department of Statistics (2014)
This thesis study considers analysis of bivariate longitudinal binary data. We propose a model based on marginalized multilevel model framework. The proposed model consists of two levels such that the first level associates the marginal mean of responses with covariates through a logistic regression model and the second level includes subject/time specific random intercepts within a probit regression model. The covariance matrix of multiple correlated time-specific random intercepts for each subject is assu...
A marginalized multilevel model for bivariate longitudinal binary data
Inan, Gul; İlk Dağ, Özlem (Springer Science and Business Media LLC, 2019-06-01)
This study considers analysis of bivariate longitudinal binary data. We propose a model based on marginalized multilevel model framework. The proposed model consists of two levels such that the first level associates the marginal mean of responses with covariates through a logistic regression model and the second level includes subject/time specific random intercepts within a probit regression model. The covariance matrix of multiple correlated time-specific random intercepts for each subject is assumed to ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. B. Kilic, Z. I. Kalaylıoğlu Akyıldız, and A. SenGupta, “A flexible Bayesian mixture approach for multi-modal circular data,”
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
, vol. 51, no. 4, pp. 1160–1173, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99619.