Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution

The aim of this study is to forecast the amount of tax complaints filed with the Turkish Ombudsman in the future and whether or not policymakers require a specific tax Ombudsman. The polynomial regression for discrete data set is proposed to fit the number of events of tax complaints in the period f...

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Main Authors: Mehmet Niyazi Çankaya, Murat Aydın
Format: Article
Language:English
Published: Akif AKGUL 2024-03-01
Series:Chaos Theory and Applications
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Online Access:https://dergipark.org.tr/en/download/article-file/3670830
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author Mehmet Niyazi Çankaya
Murat Aydın
author_facet Mehmet Niyazi Çankaya
Murat Aydın
author_sort Mehmet Niyazi Çankaya
collection DOAJ
description The aim of this study is to forecast the amount of tax complaints filed with the Turkish Ombudsman in the future and whether or not policymakers require a specific tax Ombudsman. The polynomial regression for discrete data set is proposed to fit the number of events of tax complaints in the period from years $2013$ to $2021$. The artificial data set is generated by models which are polynomial regression and parametric distribution. The location, scale and shape parameters are determined according to the smallest value between the observed and predicted dependent variable. After determining the smallest value for the tried values of shape parameter and the parameters of polynomial regression, the best value determined by grid search for shape parameter is around $1.07$. Thus, the heavy-tailed from of exponential power distribution is gained. The artificial data sets are generated and sorted from the smallest to biggest ones. The maximum values are around $700$ and $800$ which can be regarded as future prediction because the distance among observations is taken into account by models from polynomial regression and parametric distribution. Since the polynomial regression and the parametric models are used simultaneously for modelling, the distance among observations can also be modelled by parametric model as an alternative approach provided.
format Article
id doaj-art-63225935f842427ba676f26aa29baf48
institution Kabale University
issn 2687-4539
language English
publishDate 2024-03-01
publisher Akif AKGUL
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series Chaos Theory and Applications
spelling doaj-art-63225935f842427ba676f26aa29baf482025-01-23T18:20:09ZengAkif AKGULChaos Theory and Applications2687-45392024-03-0161637210.51537/chaos.14224001971Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric DistributionMehmet Niyazi Çankaya0https://orcid.org/0000-0002-2933-857XMurat Aydın1https://orcid.org/0000-0002-7211-5208UŞAK ÜNİVERSİTESİ, UYGULAMALI BİLİMLER YÜKSEKOKULUUŞAK ÜNİVERSİTESİ, UYGULAMALI BİLİMLER YÜKSEKOKULUThe aim of this study is to forecast the amount of tax complaints filed with the Turkish Ombudsman in the future and whether or not policymakers require a specific tax Ombudsman. The polynomial regression for discrete data set is proposed to fit the number of events of tax complaints in the period from years $2013$ to $2021$. The artificial data set is generated by models which are polynomial regression and parametric distribution. The location, scale and shape parameters are determined according to the smallest value between the observed and predicted dependent variable. After determining the smallest value for the tried values of shape parameter and the parameters of polynomial regression, the best value determined by grid search for shape parameter is around $1.07$. Thus, the heavy-tailed from of exponential power distribution is gained. The artificial data sets are generated and sorted from the smallest to biggest ones. The maximum values are around $700$ and $800$ which can be regarded as future prediction because the distance among observations is taken into account by models from polynomial regression and parametric distribution. Since the polynomial regression and the parametric models are used simultaneously for modelling, the distance among observations can also be modelled by parametric model as an alternative approach provided.https://dergipark.org.tr/en/download/article-file/3670830estimationinferencepublic economicsparametric modelssimulation
spellingShingle Mehmet Niyazi Çankaya
Murat Aydın
Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
Chaos Theory and Applications
estimation
inference
public economics
parametric models
simulation
title Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
title_full Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
title_fullStr Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
title_full_unstemmed Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
title_short Future Prediction for Tax Complaints to Turkish Ombudsman by Models from Polynomial Regression and Parametric Distribution
title_sort future prediction for tax complaints to turkish ombudsman by models from polynomial regression and parametric distribution
topic estimation
inference
public economics
parametric models
simulation
url https://dergipark.org.tr/en/download/article-file/3670830
work_keys_str_mv AT mehmetniyazicankaya futurepredictionfortaxcomplaintstoturkishombudsmanbymodelsfrompolynomialregressionandparametricdistribution
AT murataydın futurepredictionfortaxcomplaintstoturkishombudsmanbymodelsfrompolynomialregressionandparametricdistribution