Ratio Mathematica
http://eiris.it/ojs/index.php/ratiomathematica
<p><strong>RATIO MATHEMATICA - JOURNAL OF MATHEMATICS, STATISTICS, AND APPLICATIONS</strong></p><p>Ratio Mathematica is an International, double peer-reviewed, open access journal, published every six months (June-December). This periodical has a long tradition, indeed its first issue was published in 1990. It aims to publish original research articles in the fields of Mathematics and Statistics. However, contributions with applications of Mathematics and Statistics to Social Science, Business Administration, Engineering, Programming, Economics, Management, Fuzzy Logic, and Probability, are welcome. Only English-language publications are accepted. </p><p>The main topics of interest for Ratio Mathematica are:</p><p><strong>Foundations of Mathematics:</strong> Epistemology of Mathematics, Critique of the Foundations of Mathematics, Elementary Mathematics from a higher point of view, Elementary Theory of Numbers, Foundations of Mathematics of Uncertain; Criticism of the Foundations of Computer Science.</p><p><strong>Applications of Mathematics:</strong> Applications to Engineering and Economics, Applications for Management and Business Administration, Decision making in conditions of uncertainty, Theory of Games, Fuzzy Logic and Applications, Probability, Statistics and Applications.</p><p><strong>New theories and applications:</strong> Algebraic hyperstructures and Applications, Discrete Mathematics and Applications, Fuzzy structures.</p><p><strong>New theories and practices for dissemination and communication of mathematics:</strong> Communication of History and Fundations, Communication of Discrete Mathematics, Communication of Probability and Statistics, Communication with Media.</p><p> </p><p><strong>Indexing</strong>: Ratio Mathematica is abstracted and indexed in: </p><p><a href="http://index.pkp.sfu.ca/index.php/browse/index/1071?sortOrderId=6">PKP (Public Knowledge Project)</a></p><p><a href="https://www.worldcat.org/">OCLC WorldCat</a></p><p><a href="https://scholar.google.it/scholar?hl=it&q=+Ratio+Mathematica&btnG=&lr=">Google Scholar</a></p><p><a href="http://agriculture.academickeys.com/jour_main.php">AcademicKeys</a></p><p><a href="http://journalseek.net/cgi-bin/journalseek/journalsearch.cgi?field=issn&query=1592-7415">Genamics</a></p><p><a href="http://www.journaltocs.ac.uk/index.php?action=search&subAction=hits&journalID=37603&userQueryID=8709&high=1&ps=30&page=1&items=0&journal_filter=&journalby=">JournalTOCs</a></p><p><a href="http://acnp.unibo.it/cgi-ser/start/it/cnr/df-p.tcl?catno=2401374&libr=&person=false&B=2&proposto=NO&year_poss_from=&year_poss_to=">ANCP</a></p><p><a href="http://www.sbn.it/opacsbn/opac/iccu/free.jsp">OPAC SBN</a></p><p>The printed copies of the journal are stored at the <strong>National Library of Florence</strong> and <strong>Provincial Library of Pescara, Italy</strong>.</p>APAVen-USRatio Mathematica1592-7415<p>This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:</p><ul><li>Free access for all users worldwide</li><li>Increased visibility and readership</li><li>Rapid publication</li><li>No spatial constraints</li><li>Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)</li></ul><h2>Copyright and Licensing Terms</h2><p>Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. <br />For further information visit: <a href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</a>. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards:</p><p><img id="__wp-temp-img-id" title="" src="http://www.eiris.it/ratio_numeri/ratio_accessori/cc.png" alt="Creative Commonce Licence" width="88" height="31" /></p>Some Improved Mixed Regression Estimators and their Comparison when Disturbance Terms follow Multivariate T-Distribution
http://eiris.it/ojs/index.php/ratiomathematica/article/view/330
The Mean square error matrices, bias vector and risk functions of proposed improved mixed regression estimators are obtained by employing the small disturbance approximation technique under the condition, when disturbance terms follows multivariate t-distribution. Further, the risk function criterion is used to examine the efficiency of proposed improved mixed regression estimators.Manoj KumarVikas BistMan Inder Kumar
Copyright (c) 2017 Manoj Kumar et al.
http://creativecommons.org/licenses/by/4.0
2017-07-302017-07-303231910.23755/rm.v32i0.330On a Functional Equation Related to Information Theory
http://eiris.it/ojs/index.php/ratiomathematica/article/view/332
<p>The general solutions of a functional equation, without imposing any<br />regularity condition on the mappings appearing in it, have been<br />obtained. One solution of this functional equation is useful from<br />information-theoretic point of view.</p>Prem NathDhiraj Kumar Singh
Copyright (c) 2017 P. Nath et al.
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2017-07-302017-07-3032213510.23755/rm.v32i0.332Quasi-Order Hypergroups and T-Hypergroups
http://eiris.it/ojs/index.php/ratiomathematica/article/view/333
<p>Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last<br />century. They form a subclass of the class of all hypergroups, i.e. structures<br />with one associative hyperoperation fulfilling the reproduction axiom. In this<br />paper a theorem which allows an easy description of all quasi-order hyper-<br />groups is mentioned and some results concerning the relation of quasi-order<br />and upper quasi-order hypergroups are given. Furthermore the transformation<br />hypergroups acting on tolerance spaces are defined and an example of them is<br />given</p>Šárka Hošková-Mayerová
Copyright (c) 2017 Šárka Hošková
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2017-07-302017-07-3032374410.23755/rm.v32i0.333Soft Γ-Modules
http://eiris.it/ojs/index.php/ratiomathematica/article/view/325
<p>In this paper, the denitions of soft Γ-module, soft Γ-module homomorphism and soft Γ-exactness are introduced with the aid of the concept of soft set theory introduced by Molodtsov. In the meantime, some of their properties and structural characteristics are investigated and discussed. Thereafter, several illustrative examples are given.</p>Serkan OnarSanem YavuzBayram Alì Ersoy
Copyright (c) 2017 Serkan Onar et al.
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2017-07-302017-07-3032456210.23755/rm.v32i0.325Teaching Least Squares in Matrix Notation
http://eiris.it/ojs/index.php/ratiomathematica/article/view/335
Material for teaching least squares at the undergraduate level in matrix<br />notation is reported. The weighted least squares equations are first derived<br />in matrix form; equivalence with the standard results obtained by standard<br />algebra are then given for the weighted average and the simplest linear re-<br />gression. Indicators of goodness of fit are introduced and interpreted. Even-<br />tually a basic equation for resampling is derived.Guglielmo MonacoAniello Fedullo
Copyright (c) 2017 Guglielmo Monaco and Aniello Fedullo
http://creativecommons.org/licenses/by/4.0
2017-07-302017-07-3032637510.23755/rm.v32i0.335