APLIMAT - JOURNAL OF APPLIED MATHEMATICS VOLUME 5 (2012), NUMBER 3 APLIMAT - JOURNAL OF APPLIED MATHEMATICS VOLUME 5 (2012), NUMBER 3 Edited by: Slovak University of Technology in Bratislava Editor - in - Chief: KOVÁČOVÁ Monika (Slovak Republic) Editorial Board: CARKOVS Jevgenijs (Latvia ) CZANNER Gabriela (Great Britain) CZANNER Silvester (Great Britain) DOLEŽALOVÁ Jarmila (Czech Republic) FEČKAN Michal (Slovak Republic) FERREIRA M. A. Martins (Portugal) FRANCAVIGLIA Mauro (Italy) KARPÍŠEK Zdeněk (Czech Republic) KOROTOV Sergey (Finland) LORENZI Marcella Giulia (Italy) MESIAR Radko (Slovak Republic) VELICHOVÁ Daniela (Slovak Republic) Editorial Office: Institute of natural sciences, humanities and social sciences Faculty of Mechanical Engineering Slovak University of Technology in Bratislava Námestie slobody 17 812 31 Bratislava Correspodence concerning subscriptions, claims and distribution: F.X. spol s.r.o Dúbravská cesta 9 845 03 Bratislava 45 [email protected] Frequency: One volume per year consisting of three issues at price of 120 EUR, per volume, including surface mail shipment abroad. Registration number EV 2540/08 Information and instructions for authors are available on the address: http://www.journal.aplimat.com/ Printed by: FX spol s.r.o, Azalková 21, 821 00 Bratislava Copyright © STU 2007-2012, Bratislava All rights reserved. No part may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior written permission from the Editorial Board. All contributions published in the Journal were reviewed with open and blind review forms with respect to their scientific contents. APLIMAT - JOURNAL OF APPLIED MATHEMATICS VOLUME 5 (2012), NUMBER 3 ALGEBRA AND ITS APPLICATIONS JASEM Milan: A CAUCHY COMPLETION OF DUALLY RESIDUATED 15 LATTICE ORDERED SEMIGROUPS SEIBERT Jaroslav: ON THE HYPER-WIENER INDEX AND 25 POLYNOMIAL OF A GRAPH. VANŽUROVÁ Alena : HEXAGONAL AND GOLDEN QUASIGROUPS 31 VANŽUROVÁ Alena, BARTOŠKOVÁ Zuzana: TOYODA'S 41 THEOREM AND QUASIGROUP MODES APLIMAT - JOURNAL OF APPLIED MATHEMATICS VOLUME 5 (2012), NUMBER 3 GEOMETRY AND ITS APPLICATIONS ARSAN Güler Gürpınar, ÇİVİ Gülçin: GEODESIC MAPPINGS 51 PRESERVING THE EINSTEIN TENSOR OF WEYL SPACES BASTL Bohumír, LÁVIČKA Miroslav: SMOOTH CURVES 57 APPROXIMATION BY CHORD-LENGTH CURVES BIZZARRI Michal, LÁVIČKA Miroslav: ON COMPUTING 67 APPROXIMATE PARAMETERIZATIONS OF ALGEBRAIC SURFACES ÇIVI Gülçin , ARSAN Güler Gürpınar: ON HOLOMORPHICALLY 79 PROJECTIVE MAPPINGS OF KAHLER- WEYL SPACES CHEPURNA Olena, MIKEŠ Josef: HOLOMORPHICALLY PROJECTIVE MAPPINGS OF HYPERBOLICALLY KAHLER SPACES 85 PRESERVING THE EINSTEIN TENSOR CHODOROVÁ Marie, CHUDÁ Hana, SHIHA Mohsen: ON COMPOSITION OF CONFORMAL AND HOLOMORPHICALLY 91 PROJECTIVE MAPPINGS BETWEEN CONFORMALLY K¨AHLERIAN SPACES JUKL Marek, JUKLOVÁ Lenka, MIKEŠ Josef: MULTIPLE 97 COVARIANT DERIVATIVE AND DECOMPOSITION PROBLEMS KAŇKA Miloš, ELIÁŠOVÁ Lada: THE CURVATURES OF SPECIAL 105 FUNCTIONS IN ECONOMY PETRASOVA Alena, CZANNER Silvester, CHALMERS Alan, WOLKE Dieter: THE UTILITY OF THE VIRTUAL REALITY IN DEEPER 113 UNDERSTANDING OF PEOPLE'S EXPERIENCES OF INFANT FEEDING SLABÁ Kristýna, BASTL Bohumír: CIRCLE-PRESERVING 123 SUBDIVISION SCHEME BASED ON APOLLONIUS' CIRCLE VANŽUROVÁ Alena, JUKL Marek: PARALLELOGRAM SPACES 133 AND MEDIAL QUASIGROUPS VANŽUROVÁ Alena, PIRKLOVÁ Petra: METRIZABLE CONNECTIONS AND RESTRICTIVELY VARIATIONAL CONNECTIONS 141 IN AFFINE MANIFOLDS VELICHOVÁ Daniela: MULTIDIMENSIONAL MANIFOLDS AS 151 MINKOWSKI OPERATION PRODUCTS VOICU Nicoleta: FINSLERIAN CONNECTIONS AND THE EQUATIONS 159 OF SPINNING CHARGED PARTICLES IN GENERAL RELATIVITY APLIMAT - JOURNAL OF APPLIED MATHEMATICS VOLUME 5 (2012), NUMBER 3 STATISTICAL METHODS IN TECHNICAL AND ECONOMIC SCIENCES AND PRACTICE ANDRADE Marina, FERREIRA Manuel Alberto M.: CRIME SCENE INVESTIGATION THROUGH DNA TRACES USING BAYESIAN 167 NETWORKS ANDRADE, Marina, FERREIRA, Manuel Alberto M.: CIVIL AND 173 CRIMINAL IDENTIFICATION WITH BAYESIAN NETWORKS ARSHINOVA Tatyana: RISK MANAGEMENT OF EQUITY PORTFOLIO CONSTRUCTION ON THE BASIS OF DATA 185 ENVELOPMENT ANALYSIS APPROACH BARTOŠOVÁ Jitka, FORBELSKÁ Marie: GMM MODEL OF AT- RISK-OF-POVERTY CZECH HOUSEHOLDS DEPENDING ON THE AGE 195 AND SEX OF THE HOUSEHOLDER (EU-SILC 2005-2009) BEZRUCKO Aleksandrs: LATVIAN GDP: TIME SERIES 205 FORECASTING USING VECTOR AUTO REGRESSION FERREIRA Manuel Alberto M., ANDRADE Marina: A METHOD TO APPROXIMATE FIRST PASSAGE TIMES DISTRIBUTIONS IN DIRECT 217 TIME MARKOV PROCESSES FERREIRA, Manuel Alberto M., ANDRADE, Marina: SOJOURN 225 TIMES IN JACKSON NETWORKS FJODOROVS Jegors, MATVEJEVS Andrejs: COPULA BASED 241 SEMIPARAMETRIC REGRESSIVE MODELS HECKENBERGEROVÁ Jana, MAREK Jaroslav, SOUČKOVÁ Jitka, TUČEK Pavel: NONSMOOTH FUNCTION APPROXIMATION IN 249 PRACTICAL CHANGE POINT PROBLEM JAROŠOVÁ Eva: COMPARISON OF TWO BAYESIAN APPROACHES 259 TO SPC MALÁ Ivana: QUANTILE CHARACTERISTICS OF CONDITIONAL 269 DISTRIBUTIONS OF FINITE MIXTURES MISKOLCZI Martina, LANGHAMROVÁ Jitka: MULTISTATE LIFE TABLES: APPLICATION OF THE METHOD ON THE MARRIAGE 279 CAREER MOŠNA František: TWO APPLICATIONS OF PROBABILITY IN THE 287 THEORY OF RELIABILITY AND MAINTENANCE NEUBAUER Jiří: INFLATION MODELING AND COINTEGRATION 293 ŽIŽKA David: APPLICATION OF RELEVANCE VECTOR MACHINE TO 301 FORECASTING VOLATILITY IN CZECH FINANCIAL TIME SERIES LIST OF REVIEWERS Andrade Marina, Professor Auxiliar University Institute of Lisbon, Lisboa, Portugal Bartošová Jitka, RNDr., PhD University of Economics, Jindřichův Hradec, Czech Republic Baštinec Jaromír, doc. RNDr., CSc. FEEC, Brno University of Technology, Brno, Czech Republic Beránek Jaroslav, doc. RNDr., CSc. Masaryk University, Brno, Czech Republic Biswas Md. Haider Ali, Associate Engineering and Technology School, Khulna Professor University, Belize Bittnerová Daniela, RNDr., CSc. Technical Univerzity of Liberec, Liberec, Czech Republic Brabec Marek, Ing., PhD Academy of Sciences of the Czech Republic, Praha, Czech Republic Buikis Maris, Prof. Dr. Riga Technical University, Riga, Latvia Cyhelský Lubomír, Prof. Ing., DrSc. Vysoká škola finanční a správní, Praha, Czech Republic Dorociaková Božena, RNDr., PhD University of Žilina, Žilina, Slovak Republic Emanovský Petr, Doc. RNDr., PhD Palacky University, Olomouc, Czech Republic Ferreira Manuel Alberto M., Professor University Institute of Lisbon, Lisboa, Portugal Catedrático Filipe José António, Professor Auxiliar IBS - IUL, ISCTE - IUL, Lisboa , Portugal Habiballa Hashim, RNDr. PaedDr., University of Ostrava, Ostrava, Czech Republic PhD Habiballa Hashim, RNDr. PaedDr., University of Ostrava, Ostrava, Czech Republic PhD Hošková-Mayerová Šárka, doc. University of Defence, Brno, Czech Republic RNDr., PhD 11 Hošpesová Alena, doc. PhDr., PhD Jihočeská univerzita, České Budějovice, Czech Republic Iorfida Vincenzo Lamezia Terme, Italy Iveta Stankovičová, PhD UK Bratislava, Bratislava, Slovak Republic Jancarik Antonin, PhD Charles University, Prague, Czech Republic Jukl Marek, RNDr., PhD Palacky University, Olomouc, Czech Republic Kráľ Pavol, RNDr., PhD Matej Bel University, Banska Bystrica, Slovak Republic Kunderová Pavla, doc. RNDr., CSc. Palacky University, Olomouc, Czech Republic Kvasz Ladislav, Prof. Charles University, Prague, Czech Republic Langhamrová Jitka, doc. Ing., CSc University of Economic in Prague, Prague Czech Republic Linda Bohdan, doc. RNDr., CSc. University of Pardubice, Pardubice, Czech Republic Maroš Bohumil, doc. RNDr., CSc. University of Technology, Brno, Czech Republic Matvejevs Andrejs, DrSc., Ing. Riga Technical university, Riga, Latvia Mikeš Josef, Prof. RNDr., DrSc. Palacky University, Olomouc, Czech Republic Milerová Helena, Bc. Charles University, Prague, Czech Republic Miroslav Husek Charles University, Prague, Czech Republic Miskolczi Martina, Mgr., Ing. University of Economics in Prague, Prague, Czech Republic Morkisz Paweł, AGH University of Science and Technology, Krakow, Poland Mošna František, RNDr., PhD Czech Univ. of Life Sciences, Praha, Czech Republic Paláček Radomir, RNDr., PhD VŠB - Technical University of Ostrava, Ostrava, Czech Republic Pospíšil Jiří, Prof. Ing., CSc. Czech Technical University of Prague, Prague, Czech Republic 12 Potůček Radovan, RNDr., PhD University of Defence, Brno, Czech Republic Radova Jarmila, doc. RNDr., PhD University of Economics, Prague, Czech Republic Rus Ioan A., Professor Babes-Bolyai University of Cluj-Napoca, Cluj-Napoca, Romania Růžičková Miroslava, doc. RNDr., University of Žilina, Žilina, Slovak Republic CSc. Segeth Karel, Prof. RNDr., CSc. Academy of Sciences of the Czech Republic, Prague , Czech Republic Slaby Antonin, Prof. RNDr., PhDr., University of Hradec Kralove, Hradec Kralove, Czech CSc. Republic Sousa Cristina Alexandra, Master Universidade Portucalense Infante D. Henrique, Porto, Portugal Svoboda Zdeněk, RNDr., CSc. FEEC, Brno University of Technology, Brno, Czech Republic Šamšula Pavel, doc. PaedDr., CSc Charles University, Prague, Czech Republic Torre Matteo, Laurea in Matematica Scula Secondaria Superiore, Alessandria, Italy Trojovsky Pavel, RNDr., PhD University of Hradec Kralove, Hradec Kralove, Czech Republic Trokanová Katarína, Doc. Slovak Technical University, Bratislava, Slovak Republic Ulrychová Eva, RNDr. University of Finance and Administration, Prague, Czech Republic Vanžurová Alena, doc. RNDr., CSc. Palacký University, Olomouc, Czech Republic Velichová Daniela, doc. RNDr., CSc. Slovak University of Technology, Bratislava, Slovak mim.prof.