Mathematics & Statistics, Formal
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book2015Mathematics &Statistics, FormalSciences, StatisticsAbstractsNinth Annual InternationalConference on Mathematics &Statistics: Education &Applications, First AnnualInternational Conference onFormal Sciences, Ninth AnnualInternational Conference onStatistics, 29-30 June & 1-2 July2015, Athens, GreeceEdited by Gregory T. PapanikosTHE ATHENS INSTITUTE FOR EDUCATION AND RESEARCH1
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book2
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookMathematics & Statistics,Formal Sciences, StatisticsAbstracts9th Annual InternationalConference on Mathematics &Statistics: Education &Applications, 1st AnnualInternational Conference onFormal Sciences, 9th AnnualInternational Conference onStatistics, 29-30 June & 1-2 July2015, Athens, GreeceEdited by Gregory T. Papanikos3
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookFirst Published in Athens, Greece by the Athens Institute for Education andResearch.ISBN: 978-960-598-013-9All rights reserved. No part of this publication may be reproduced, stored,retrieved system, or transmitted, in any form or by any means, without thewritten permission of the publisher, nor be otherwise circulated in any form ofbinding or cover.8 Valaoritou StreetKolonaki, 10671 Athens, Greecewww.atiner.gr Copyright 2015 by the Athens Institute for Education and Research. Theindividual essays remain the intellectual properties of the contributors.4
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookTABLE OF CONTENTS(In Alphabetical Order by Author's Family name)PrefaceConference ProgramCharacterizations of Distributions via Regression Properties of1.Order Statistics from Extended SampleMohammad AhsanullahAggregation of AR Models for Prediction using Online2.OptimizationBasad Al-Sarray, Stephane Chretien, Yacouba Boubacar Mainassara &Bruno SaussereauSome Notes on the Calculations of the Continued Exponents3.Hossein BehforoozA Statistical Analysis of Preference of Wall Colour in Long4.Term Healthcare EnvironmentsPenelope BidgoodVisual Representation of Natural Frequencies Improves5.Bayesian ReasoningKarin Binder, Stefan Krauss & Georg BruckmaierMathematical Education in the Italian Project FSTF6.Enzo BonacciARIMA Method for Estimation and Forecasting of Data from7.Higher EducationMarilena Aura DinWavelet Analysis on Homogenous Spaces8.Fatemeh EsmaeelzadehChildren’s Mathematical Knowledge: What is being Assessed?9.Ali Fleming, Azita Manouchehri & Monelle Gomez10. Increasing K-12 Mathematics Teachers’ Content KnowledgeMonelle Gomez, Azita Manouchehri & Ali Fleming11. Exchangeability and Extreme Value Distributions: Applicationsto Financial Risk ModellingChun-Kai Huang, Delia North & Temesgan Zewotir12. An Empirical Analysis of the Permanent Income Hypothesis(PIH) in the Context of BRICS CountriesChun-Sung Huang, Natasha Collier, Jenna McWilliams &Benjamin Rath13. Measuring Impact of Correlations on Final-Weights ofTechnical Attributes in Quality Function DeploymentZafar Iqbal, Nigel Grigg & Nicky Campbell-Allen14. Applications of Large Deviations to some Nonparametric TestsCyrille Joutard15. Joint Variance Prior for the Analysis of Random Effects ModelsZeynep Kalaylioglu & Haydar Demirhan5911161718192021222324252728293031
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract 1.32.The New Psychometric Entrance Test – A Multi – FacetedValidity AnalysisDvir Kleper & Noa SakaModelling with Mathematics and Structural Knowledge:Building Capacity among K-12 TeachersAzita Manouchehri, Monelle Gomez & Ali FlemingUptake of Mammography Screening:Is Obesity an Impediment?Abhinav MehtaTwo-Sample Hypothesis Testing on Evolutionary TreesMartina MinchevaSemi-Closed Fuzzy Sets and Semi-Continuous Functions inFuzzy Topological SpacesAshwini Kumar MishraOn Using Copulas to Test for a Two Component BivariateMixture DistributionAmpalavanar NanthakumarMaking Use of Dynamic Software and Mathematical Tools inthe Solution of Extremum Problems in Triangle GeometryVictor Oxman, Moshe Stupel & Ruti SegalRevising Some Design CriteriaDiarmuid O’Driscoll & Donald RamirezThe Pedagogical Aspects of Non-Routine Problem Solving inMathematicsSanthanam RamachandranSome Existence Results on Competitive Economic Equilibriumby Using Variational ApproachFrancesco Rania & Giovanni AnelloDimensions of Knowledge and Ways of Thinking of IrrationalNumbersLayal Saikaly & Nina HayfaSurprising Investigation of Loci Using Dynamic SoftwareRuti Segal, Moshe Stupel & Victor OxmanCross-curriculum Integration of Mathematics in SecondarySchoolsPraneetha SinghLarge and Moderate Deviation Principles for Nonrecursive andRecursive Estimators of a Regression FunctionYousri SlaouiExponential Dichotomy versus Exponential Splitting for Skewevolution Semiflows in Infinite Dimensional SpacesCodruta StoicaAn Examination of Plausible Score Correlation from the Trendin Mathematics and Science StudyJianjun Wang & Xin MaStatistical Methods in the Educational ResearchesOlga Yanushkevichiene & Romanas Yanushkevichius63233343637384041424344454748495051
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book33.34.35.36.Selecting Models via Multivariate Weighted InformationMeasuresSalimeh Yasaei Sekeh & Adriano Polpo de CamposVariable Selection and Flexible Smoothing in SemiparametricRegressionTakuma YoshidaChoosing a Covariate-Adaptive RuleMaroussa ZagoraiouDynamic D-Vine Copula Model with Applications to Value-atRisk (VaR)Flavio Ziegelmann, Paula Tofoli, Osvaldo Candido Silva-Filho & PedroValls Pereira752535455
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book8
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookPrefaceThis abstract book includes all the abstracts of the papers presentedat the 9th Annual International Conference on Mathematics & Statistics:Education & Applications, 1st Annual International Conference on FormalSciences and 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece, organized by the Athens Institute forEducation and Research. In total there were 36 papers and presenters,coming from 18 different countries (Australia, Brazil, France, Germany,India, Iran, Ireland, Israel, Italy, Japan, Lebanon, Lithuania, NewZealand, Romania, South Africa, Turkey, UK and USA). The conferencewas organized into eight sessions that included areas of Mathematicsand Statistics. As it is the publication policy of the Institute, the paperspresented in this conference will be considered for publication in one ofthe books and/or journals of ATINER.The Institute was established in 1995 as an independent academicorganization with the mission to become a forum where academics andresearchers from all over the world could meet in Athens and exchangeideas on their research and consider the future developments of theirfields of study. Our mission is to make ATHENS a place whereacademics and researchers from all over the world meet to discuss thedevelopments of their discipline and present their work. To serve thispurpose, conferences are organized along the lines of well establishedand well defined scientific disciplines. In addition, interdisciplinaryconferences are also organized because they serve the missionstatement of the Institute. Since 1995, ATINER has organized more than150 international conferences and has published over 100 books.Academically, the Institute is organized into four research divisions andnineteen research units. Each research unit organizes at least oneannual conference and undertakes various small and large researchprojects.I would like to thank all the participants, the members of theorganizing and academic committee and most importantly theadministration staff of ATINER for putting this conference together.Gregory T. PapanikosPresident9
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book10
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookFINAL CONFERENCE PROGRAMAnnual International Conference on Mathematics & Statistics:Education & Applications, 1st Annual International Conference onFormal Sciences, 9th Annual International Conference on Statistics,29-30 June & 1-2 July 2015, Athens, Greece9thPROGRAMConference Venue: Titania Hotel, 52 Panepistimiou Avenue, Athens, Greece1.2.3.4.5.6.7.8.9.Dr. Gregory T. Papanikos, President, ATINER & Honorary Professor, Universityof Stirling, UK.Dr. George Poulos, Vice-President of Research, ATINER & Emeritus Professor,University of South Africa, South Africa.Dr. Alexander Makedon, Head, Education Research Unit, ATINER& Professor ofPhilosophy of Education, Arellano University, Philippines.Dr. Constantine Georgakis, Academic Member, ATINER & AssociateProfessor, DePaulUniversity, USA.Dr. Codruta Stoica, Head, Formal Research Unit, ATINER & AssociateProfessor, Aurel Vlaicu University, Romania.Dr. Panagiotis Petratos, Vice President of ICT, ATINER, Fellow, Institution ofEngineering and Technology & Professor, Department of Computer InformationSystems, California State University, Stanislaus, USA.Dr. Nicholas Pappas, Vice-President of Academics, ATINER, Greece & Professor,Sam Houston University, USA.Dr. Chris Sakellariou, Vice President of Financial Affairs, ATINER, Greece &Associate Professor, Nanyang Technological University, Singapore.Ms. Olga Gkounta, Researcher, ATINER.AdministrationStavroula Kyritsi, Konstantinos Manolidis, Katerina Maraki & Kostas SpiropoulosMonday 29 June 2015(all sessions include 10 minutes break)08:00-08:30 Registration and Refreshments08:30-09:00 (ROOM A) Welcome & Opening Remarks Dr. Gregory T. Papanikos, President, ATINER & Honorary Professor, Universityof Stirling, UK. Dr. George Poulos, Vice-President of Research, ATINER & Emeritus Professor,University of South Africa, South Africa.11
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book09:00-11:00 Session I (ROOM A): Mathematics and Statistics: Education &Applications IChair: George Poulos, Vice-President of Research, ATINER & Emeritus Professor,University of South Africa, South Africa.1. *Diarmuid O’Driscoll, Head, Department of Mathematics, Mary ImmaculateCollege, Ireland & Donald Ramirez, Professor, University of Virginia, USA.Revising Some Design Criteria. (EMS)2. Jianjun Wang, Professor, California State University, USA & Xin Ma, University ofKentucky, USA. An Examination of Plausible Score Correlation from the Trend inMathematics and Science Study. (STA)3. Marilena Aura Din, Associate Professor, Romanian American University ofBucharest, Romania. ARIMA Method for Estimation and Forecasting of Data fromHigher Education. (EMS)4. Abhinav Mehta, Associate Lecturer, The Australian National University, Australia.Uptake of Mammography Screening: Is Obesity an Impediment? (STA)5. Olga Yanushkevichiene, Professor, Vilnius University, Lithuania & RomanasYanushkevichius, Professor, Lithuanian University of Educational Sciences,Lithuania. Statistical Methods in the Educational Researches. (EMS)6. Victor Oxman, Senior Lecturer, Western Galilee College, Shaanan College, Israel,Moshe Stupel, Professor, Shaanan College, Israel & Ruti Segal, Senior Lecturer,Oranim College, Shaanan College, Israel. Making Use of Dynamic Software andMathematical Tools in the Solution of Extremum Problems in Triangle Geometry.(EMS)11:00-12:30 Session II (ROOM A): Statistics IChair: *Diarmuid O’Driscoll, Head, Department of Mathematics, Mary ImmaculateCollege, Ireland1. *Mohammad Ahsanullah, Professor, Rider University, USA. Characterizations ofDistributions via Regression Properties of Order Statistics from Extended Sample.(STA)2. Yousri Slaoui, Associate Professor, University of Poitiers, France. Large andModerate Deviation Principles for Nonrecursive and Recursive Estimators of aRegression Function. (STA)3. Cyrille Joutard, Associate Professor, Paul Valery University of Montpellier, France.Applications of Large Deviations to some Nonparametric Tests. (STA)4. Zafar Iqbal, Ph.D. Student, Massey University, New Zealand, Nigel Grigg & NickyCampbell-Allen, Massey University, New Zealand. Measuring Impact ofCorrelations on Final-Weights of Technical Attributes in Quality FunctionDeployment. (STA)12:30-13:30 Lunch12
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract Book13:30-15:30 Session III (ROOM A): Statistics IIChair: *Mohammad Ahsanullah, Professor, Rider University, USA.1. *Flavio Ziegelmann, Associate Professor, Federal University of Rio Grande do Sul –UFRGS, Brazil, Paula Tofoli, Professor, Catholic University of Brasilia, Brazil,Osvaldo Candido Silva-Filho, Professor, Catholic University of Brasilia, Brazil &Pedro Valls Pereira, Professor, Fundacao Getulio Vargas Sao Paulo, Brazil.Dynamic D-Vine Copula Model with Applications to Value-at-Risk (VaR). (STA)2. Zeynep Kalaylioglu, Associate Professor, Middle East Technical University, Turkey& Haydar Demirhan, Hacettepe University, Turkey. Joint Variance Prior for theAnalysis of Random Effects Models. (STA)3. Martina Mincheva, Assistant Professor, Temple University, USA. Two-SampleHypothesis Testing on Evolutionary Trees. (STA)4. Takuma Yoshida, Assistant Professor, Kagoshima University, Japan. VariableSelection and Flexible Smoothing in Semiparametric Regression. (STA)5. Salimeh Yasaei Sekeh, Post Doctoral Fellow, Federal University of Sao Carlos,Brazil & Adriano Polpo de Campos, Associate Professor, Federal University of SaoCarlos, Brazil. Selecting Models via Multivariate Weighted Information Measures.(STA)15:30-17:30 Session IVApplications II(ROOM A): Mathematics and Statistics: Education &Chair: *Flavio Ziegelmann, Associate Professor, Federal University of Rio Grande doSul – UFRGS, Brazil1. *Santhanam Ramachandran, Secretary, The Association of Mathematics Teachersof India, India. The Pedagogical Aspects of Non-Routine Problem Solving inMathematics. (EMS)2. Monelle Gomez, Ph.D. Student, The Ohio State University, USA, AzitaManouchehri, Professor & Ali Fleming, Ph.D. Student, The Ohio State University,USA. Increasing K-12 Mathematics Teachers’ Content Knowledge. (EMS)3. Dvir Kleper, Research Scientist, National Institute for Testing and Evaluation,Israel & Noa Saka, Senior Lecturer, Hebrew University of Jerusalem and NationalInstitute for Testing and Evaluation, Israel. The New Psychometric Entrance Test –A Multi – Faceted Validity Analysis. (EMS)4. *Praneetha Singh, Assistant Head of Mathematics and Convener, The HillsGrammar School, NSW and Australian Independent School MathematicsProfessional Learning, Australia. Cross-curriculum Integration of Mathematics inSecondary Schools. (EMS)21:00-23:00 Greek Night and Dinner (Details during registration)13
9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st AnnualInternational Conference on Formal Sciences, 9th Annual International Conference on Statistics, 29-30 June &1-2 July 2015, Athens, Greece: Abstract BookTuesday 30 June 201509:00-11:00 Session V (ROOM A): Statistics IIIChair: *Santhanam Ramachandran, Secretary, The Association of MathematicsTeachers of India, India.1. *Ampalavanar Nanthakumar, Professor, State University of New York at Oswego,USA. On Using Copulas to Test for a Two Component Bivariate MixtureDistribution. (STA)2. Maroussa Zagoraiou, Assistant Professor, University of Calabria, Italy. Choosing aCovariate-Adaptive Rule. (STA)3. Chun-Sung Huang, Senior Lecturer, University of Cape Town, South Africa,Natasha Collier, Jenna McWilliams & Benjamin Rath, University of Cape Town,South Africa. An Empirical Analysis of the Permanent Income Hypothesis (PIH) inthe Context of BRICS Countries. (STA)4. Chun-Kai Huang, Lecturer, University of Cape Town, South Africa, Delia North,Associate Professor, University of KwaZulu-Natal, South Africa & TemesganZewotir, Associate Professor, University of KwaZulu-Natal, South Africa.Exchangeability and Extreme Value Distributions: Applications to Financial RiskModelling. (STA)5. Basad Al-Sarray, Ph.D. Student, University of Franche-Comté, France, StephaneChretien, Professor, University of Franche-Comté, France, Yacouba BoubacarMaĩnassara, Assistant Professor, University of Franche-Comté, France & BrunoSaussereau, Professor, University of Franche-Comté, France. Aggregation of ARModels for Prediction using Online Optimization. (STA)11:00-12:30 Session VI (ROOM A): Mathematics and Statistics: Education &Applications IIIChair: *Codruta Stoica, Associate Professor, Aurel Vlaicu University of Arad,Romania.1. Hossein Behforooz, Professor, Utica College, USA. Some Notes on the Calculationsof the Continued Exponents. (EMS)2. Francesco Rania, Assistant Professor, University Magna Graecia of Catanzaro, Italy& Giovanni Anello, Associate Professor, University of Messina, Italy. SomeExistence Results on Competitive Economic Equilibrium by Using VariationalApproach. (EMS)3. Penelope Bidgood, Honorary Fellow, Kingston University, U.K. A StatisticalAnalysis of Preference of Wall Colour in Long-Term Healthcare Environments.(EMS)4. Karin Binder, Ph.D. Student, University of Regensburg, Germany, Stefan Krauss,Professor, University of Regensburg, Germany & Georg Bruckmaier, ResearchScientist, University of Regensburg, Germany. Visual Representation of NaturalFrequencies Improves Bayesian Reasoning. (EMS)5. Ali Fleming, Ph.D. Student, The Ohio State University, USA, Azita Manouchehri,Professor & Monelle Gomez, Ph
This abstract book includes all the abstracts of the papers presented at the 9th Annual International Conference on Mathematics & Statistics: Education & Applications, 1st Annual International Conference on Formal Sciences and 9th Annual International Conference on Statistics, 29-30 June & 1
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