Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model

An important progress within the last decade in the development of the selectivity model approach to overcome the inconsistent results if the distributional assumptions of the errors terms are made this problem is through the use of semi-parametric method. However, the uncertainties and ambiguitie...

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Main Authors:	MuhamadSafiih, L, Kamil, A.A., Abu Osman, M.T.
Format:	Article
Language:	English English
Published:	Science Publications 2014
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/1/Safiih_Anton_AOMT_AJAS-ESTIMATED_AND_ANALYSIS_OF_THE_RELATIONSHIP_BETWEEN_THE_ENDOGENOUS_AND_EXOGENOUS_VARIABLES_USING_FUZZY_SEMI-PARAMETRIC_SAMPLE_SELECTION_MODEL.pdf http://irep.iium.edu.my/40312/4/40312_Estimated%20and%20analysis%20of%20the%20relationship_Scopus.pdf

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spelling	iium-403122017-08-24T07:17:30Z http://irep.iium.edu.my/40312/ Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model MuhamadSafiih, L Kamil, A.A. Abu Osman, M.T. QA Mathematics An important progress within the last decade in the development of the selectivity model approach to overcome the inconsistent results if the distributional assumptions of the errors terms are made this problem is through the use of semi-parametric method. However, the uncertainties and ambiguities exist in the models, particularly the relationship between the endogenous and exogenous variables. A new framework of the relationship between the endogenous and exogenous variables of semi-parametric sample selection model using the concept of fuzzy modelling is introduced. Through this approach, a flexible fuzzy concept hybrid with the semi-parametric sample selection models known as Fuzzy Semi-Parametric Sample Selection Model (FSPSSM). The elements of vagueness and uncertainty in the models are represented in the model construction, as a way of increasing the available information to produce a more accurate model. This led to the development of the convergence theorem presented in the form of triangular fuzzy numbers to be used in the model. Besides that, proofs of the theorems are presented. An algorithm using the concept of fuzzy modelling is developed. The effectiveness of the estimators for this model is investigated. Monte Carlo simulation revealed that consistency depends on bandwidth parameter. When bandwidth parameters, c are increased from 0.1, 0.5, 0.75 and 1 as the numbers of N increased (from 100 to 200 and increased to 500), the values of mean approaches (closed to) the real parameter. Through the bandwidth parameter also reveals that the estimated parameter is efficient, i.e., the S.D, MSE and RMSE values become smaller as N increased. In particular, the estimated parameter becomes consistent and efficient as the bandwidth parameters approaches to infinity, c®¥ as the number of observations, n tend to infinity, n®¥. Keywords: Selectivity Model, Semi-Parametric, Fuzzy Concept, Bandwidth, Monte Carlo Science Publications 2014 Article PeerReviewed application/pdf en http://irep.iium.edu.my/40312/1/Safiih_Anton_AOMT_AJAS-ESTIMATED_AND_ANALYSIS_OF_THE_RELATIONSHIP_BETWEEN_THE_ENDOGENOUS_AND_EXOGENOUS_VARIABLES_USING_FUZZY_SEMI-PARAMETRIC_SAMPLE_SELECTION_MODEL.pdf application/pdf en http://irep.iium.edu.my/40312/4/40312_Estimated%20and%20analysis%20of%20the%20relationship_Scopus.pdf MuhamadSafiih, L and Kamil, A.A. and Abu Osman, M.T. (2014) Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model. American Journal of Applied Sciences, 11 (9). pp. 1542-1552. ISSN 1554-3641(O), 1546-9239 (P) http://www.thescipub.com/ajas.toc doi:10.3844/ajassp.2014.1542.1552
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics MuhamadSafiih, L Kamil, A.A. Abu Osman, M.T. Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
description	An important progress within the last decade in the development of the selectivity model approach to overcome the inconsistent results if the distributional assumptions of the errors terms are made this problem is through the use of semi-parametric method. However, the uncertainties and ambiguities exist in the models, particularly the relationship between the endogenous and exogenous variables. A new framework of the relationship between the endogenous and exogenous variables of semi-parametric sample selection model using the concept of fuzzy modelling is introduced. Through this approach, a flexible fuzzy concept hybrid with the semi-parametric sample selection models known as Fuzzy Semi-Parametric Sample Selection Model (FSPSSM). The elements of vagueness and uncertainty in the models are represented in the model construction, as a way of increasing the available information to produce a more accurate model. This led to the development of the convergence theorem presented in the form of triangular fuzzy numbers to be used in the model. Besides that, proofs of the theorems are presented. An algorithm using the concept of fuzzy modelling is developed. The effectiveness of the estimators for this model is investigated. Monte Carlo simulation revealed that consistency depends on bandwidth parameter. When bandwidth parameters, c are increased from 0.1, 0.5, 0.75 and 1 as the numbers of N increased (from 100 to 200 and increased to 500), the values of mean approaches (closed to) the real parameter. Through the bandwidth parameter also reveals that the estimated parameter is efficient, i.e., the S.D, MSE and RMSE values become smaller as N increased. In particular, the estimated parameter becomes consistent and efficient as the bandwidth parameters approaches to infinity, c®¥ as the number of observations, n tend to infinity, n®¥. Keywords: Selectivity Model, Semi-Parametric, Fuzzy Concept, Bandwidth, Monte Carlo
format	Article
author	MuhamadSafiih, L Kamil, A.A. Abu Osman, M.T.
author_facet	MuhamadSafiih, L Kamil, A.A. Abu Osman, M.T.
author_sort	MuhamadSafiih, L
title	Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
title_short	Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
title_full	Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
title_fullStr	Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
title_full_unstemmed	Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
title_sort	estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model
publisher	Science Publications
publishDate	2014
url	http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/ http://irep.iium.edu.my/40312/1/Safiih_Anton_AOMT_AJAS-ESTIMATED_AND_ANALYSIS_OF_THE_RELATIONSHIP_BETWEEN_THE_ENDOGENOUS_AND_EXOGENOUS_VARIABLES_USING_FUZZY_SEMI-PARAMETRIC_SAMPLE_SELECTION_MODEL.pdf http://irep.iium.edu.my/40312/4/40312_Estimated%20and%20analysis%20of%20the%20relationship_Scopus.pdf
first_indexed	2023-09-18T20:57:50Z
last_indexed	2023-09-18T20:57:50Z
_version_	1777410422945611776

Estimated and analysis of the relationship between the endogenous and exogenous variables using fuzzy semi-paranetric sample selection model

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