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Nonlinear Parameter Estimation Problems in Mathematical Models
(235-2352818-1034)

 
 
 
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  Textbooks and scripts
 

1. Dragan Jukić.
Measure and integral .
Osijek : Odjel za matematiku, Sveučilište u Osijeku, 2012.

2. Jukić, Dragan.
Introduction to measure theorz and integration. Part I .
Osijek : Odjel za matematiku, Sveučilište J.J. Strossmayera u Osijeku, 2008.
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  Journal articles and review articles in CC journals
 

1. Jukić, Dragan.
On nonlinear weighted least squares estimation of Bass diffusion model. // APPLIED MATHEMATICS AND COMPUTATION. 219 (2013) , 14; 7891-7900 (journal article).

2. Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan.
One-dimensional center-based $l_1$-clustering method. // Optimization Letters. 7 (2013) , 1; 5-22 (journal article).

3. Jukić, Dragan.
On the $l_p$-norm estimation of the parameters for the Jelinski-Moranda model in software reliability. // INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. 89 (2012) , 4; 467-481 (journal article).

4. Beier, Rene; Funke, Stefan; Matijević, Domagoj; Sanders, Peter.
Energy-Efficient Paths in Radio Networks. // Algorithmica. 61 (2011) , 2; 298-319 (journal article). prilozen text radaURL link to work

5. Jukić, Dragan.
Total least squares fitting Bass diffusion model. // Mathematical and computer modelling. 53 (2011) , 9/10; 1756-1770 (journal article). URL link to work

6. Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan.
Searching for a best LAD-solution of an overdetermined system of linear equations motivated by searching for a best LAD-hyperplane on the basis of given data. // Journal of optimization theory and applications. 149 (2011) , 2; 293-314 (journal article). URL link to work

7. Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan; Zekić-Sušac, Marijana.
Mathematical models of natural gas consumption. // Energy conversion and management. 52 (2011) , 3; 1721-1727 (journal article). URL link to work

8. Svalina, Ilija; Sabo, Kristian; Šimunović, Goran.
Machined Surface Quality Prediction Models Based on Moving Least Squares and Moving Least Absolute Deviations Methods. // International Journal of Advanced Manufacturing Technology. 57 (2011) , 9; 1099-1106 (journal article). URL link to work

9. Benšić, Mirta; Sabo, Kristian.
Estimating a uniform distribution when data are measured with a normal additive error with unknown variance. // Statistics (Berlin). 44 (2010) , 3; 235-246 (journal article). URL link to work

10. Jukić, Dragan; Marković, Darija.
On nonlinear weighted errors-in-variables parameter estimation problem in the three-parameter Weibull model. // Applied mathematics and computation. 215 (2010) ; 3599-3609 (journal article).

11. Marković, Darija; Jukić, Dragan.
On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density. // Applied mathematical modelling. 34 (2010) ; 1839-1848 (journal article).

12. Aglić Aljinović, Andrea; Pečarić, Josip; Ribičić Penava, Mihaela.
Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity. // ANZIAM journal. 51 (2009) , 01; 67-101 (journal article).

13. Cupec, Robert; Grbić, Ratko; Sabo, Kristian; Scitovski, Rudolf.
Three points method for searching the best least absolute deviations plane. // Applied Mathematics and Computation. 215 (2009) , 3; 983-994 (journal article). URL link to work

14. Jukić, Dragan.
On the existence of the best discrete approximation in l_p norm by reciprocals of real polynomials. // Journal of Approximation Theory. 156 (2009) , 2; 212-222 (journal article).

15. Marković, Darija; Jukić, Dragan; Benšić, Mirta.
Nonlinear weighted least squares estimation of a three-parameter Weibull density with a nonparametric start. // Journal of Computational and Applied Mathematics. 228 (2009) , 1; 304-312 (journal article).

16. Matijević, Domagoj; Osbild, Ralf.
Finding the Θ-guarded region. // Computational geometry. 43 (2009) , 2; 207-218 (journal article). prilozen text radaURL link to work

17. Sabo, Kristian; Benšić, Mirta.
Border estimation of a disc observed with random errors solved in two steps. // Journal of Computational and Applied Mathematics. 229 (2009) , 1; 16-26 (journal article).

18. Eisenbrand, Friedrich; Funke, Stefan; Karrenbauer, Andreas; Matijević, Domagoj.
Energy-Aware Stage Illumination. // International Journal of Computational Geometry and Applications. 18 (2008) , 2; 107-129 (journal article). prilozen text radaURL link to work

19. Laue, Soeren; Matijević, Domagoj.
Approximating k-hop Minimum Spanning Trees in Euclidean metrics. // Information processing letters. 107 (2008) , 3-4; 96-101 (journal article). prilozen text radaURL link to work

20. Sabo, Kristian; Scitovski, Rudolf.
The best least absolute deviations line-properties and two efficient methods for its derivation. // ANZIAM Journal. 50 (2008) , 2; 185-198 (journal article).

21. Benšić, Mirta; Sabo, Kristian.
Border Estimation of a Two-dimensional Uniform Distribution if Data are Measured with Additive Error. // Statistics - A Journal of Theoretical and Applied Statistics. 41 (2007) , 4; 311-319 (journal article).

22. Hadeler, Karl-Peter; Jukić, Dragan; Sabo, Kristian.
Least squares problems for Michaelis Menten kinetics. // Mathematical Methods in the Applied Sciencies. 30 (2007) , 11; 1231-1241 (journal article). URL link to work

23. Jukić, Dragan; Sabo, Kristian; Scitovski, Rudolf.
Total least squares fitting Michaelis-Menten enzyme kinetic model function. // Journal of Computational and Applied Mathematics. 201 (2007) , 1; 230-246 (journal article).

24. Marošević, Tomislav; Scitovski, Rudolf.
An application of a few inequalities among sequences in electoral systems. // Applied Mathematics and Computation. 194 (2007) , 2; 480-485 (journal article). URL link to work
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  Papers accepted for publication in the cc journals
 

1. Elbassioni, Khaled; Jelić, Slobodan; Matijević, Domagoj.
The relation of Connected Set Cover and Group Steiner Tree. // Theoretical computer science. (2012) (accepted for publication). URL link to work
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  Scientific papers in other journals
 

1. Marković, Darija; Jukić, Dragan.
On parameter estimation in the Bass model by nonlinear least squares fitting the adoption curve. // International Journal of Applied Mathematics and Computer Science. 23 (2013) , 1; 145-155 (journal article).

2. Pečarić, Josip; Ribičić Penava, Mihaela.
Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity. // International journal of mathematics and mathematical sciences. 2012 (2012) ; 1-12 (journal article). URL link to work

3. Pečarić, Josip, Ribičić Penava, Mihaela.
Sharp integral inequalities based on general three-point formula. // Annals of the University of Craiova, Mathematics and Computer Science Series. 39 (2012) , 2; 132-147 (journal article).

4. Sabo, Kristian; Scitovski, Rudolf; Taler, Petar.
Uniform distribution of the number of voters per constituency on the basis of a mathematical model. // Hrvatska i komparativna javna uprava. 14 (2012) ; 229-249 (journal article).

5. Vazler, Ivan; Sabo, Kristian; Scitovski, Rudolf.
Weighted median of the data in solving least absolute deviations problems. // COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 41:8 (2012) ; 1455-1465 (journal article).

6. Vincek, Dragutin; Kralik, Gordana; Kušec, Goran; Sabo, Kristian; Scitovski, Rudolf.
Application of growth functions in the prediction of live weight of domestic animals. // Central European Journal of Operations Research. 20 (2012) , 4; 719-733 (journal article). URL link to work

7. Marušić, Miljenko; Marković, Darija; Jukić, Dragan.
Least squares fitting the three-parameter inverse Weibull density. // Mathematical communications. 15 (2011) , 2; 539-553 (journal article).

8. Dujella, Andrej; Soldo, Ivan.
Diophantine quadruples in Z[√ -2]. // Analele Stiintifice ale Universitatii "Ovidius" Constanta Seria Matematica. 18 (2010) , 1; 81-98 (journal article). prilozen text radaURL link to work

9. Jukić, Dragan; Marković, Darija.
On nonlinear weighted least squares fitting of the three-parameter inverse Weibull distribution. // Mathematical communications. 15 (2010) , 1; 13-24 (journal article).

10. Klaričić Bakula, Milica; Ribičić Penava, Mihaela.
General four-point quadrature formulae with applications for α-L-Hölder type functions. // Journal of Mathematical Ineqalities. 3 (2009) , 3; 427-436 (journal article). URL link to work

11. Scitovski, Klaudija; Scitovski, Rudolf.
Reconstruction of the Earth's Meridian Ellipse on the Basis of Experimental Measurements. // Geodetski list. 63(86) (2009) , 1; 19-35 (review article).

12. Funke, Stefan; Matijević, Domagoj; Sanders, Peter.
Constant Time Queries for Energy Efficient Paths in Multi-hop Wireless Networks. // CIT. Journal of computing and information technology. 16 (2008) , 2; 119-130 (journal article). prilozen text rada

13. Jukić, Dragan; Benšić, Mirta; Scitovski, Rudolf.
On the existence of the nonlinear weighted least squares estimate for a three-parameter Weibull distribution. // COMPUTATIONAL STATISTICS & DATA ANALYSIS. 52 (2008) , 9; 4502-4511 (journal article).

14. Klaričić Bakula, Milica, Ribičić Penava, Mihaela, Pečarić, Josip.
General three-point quadrature formulae with applications for α -L-Hölder type functions. // Journal of Mathematical Inequalities. 2 (2008) , 3; 343-361 (journal article).

15. Sertić, Josip; Kozak, Dražan; Scitovski, Rudolf.
LU-decomposition for solving sparse band matrix systems and its application in thin plate bending. // Transactions of FAMENA. 32 (2008) , 2; 41-48 (journal article). prilozen text radaURL link to work

16. Benšić, Mirta; Sabo, Kristian.
Estimating the width of a uniform distribution when data are measured with additive normal errors with known variance. // Computational Statistics & Data Analysis. 51 (2007) , 9; 4731-4741 (journal article).

17. Jukić, Dragan; Sabo, Kristian; Scitovski, Rudolf.
A review of existence criteria for parameter estimation of the Michaelis-Menten regression model. // Annali dell'Universita' di Ferrara. 53 (2007) ; 281-291 (journal article).

18. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić, Mihaela.
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions. // Journal of Inequalities in Pure and Applied Mathematics. 7 (2007) , 5; 1-32 (journal article). URL link to work
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  Nonscientific papers in other journals
 

1. Sabo, Kristian; Scitovski, Sanja.
Location of Objects in a Plane. // KoG (Scientific and Professional Journal of Croatian Society for Geometry and Graphics. 15 (2011) , 15; 57-62 (journal article).

2. Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan.
Data Clustering. // Osječki matematički list. 10 (2010) , 2; 149-176 (journal article).

3. Soldo, Ivan; Mandić, Ivona.
Pell's equation. // Osječki matematički list. 8 (2008) ; 29-36 (journal article).
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  Papers in the publishing process
 

1. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela.
General quadrature formulae based on the weighted Montgomery identity and related inequalities. // Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti. (2011).
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  Scientific conference papers with international peer-review
 

1. Elbassioni, Khaled; Matijević, Domagoj; Ševerdija, Domagoj.
Guarding 1.5D Terrains with Demands // 26th European Workshop on Computational Geometry, Workshop Proceedings / Jan Vahrenhold, editor(s).
Dortmund : Technische Universitat Dortmund, 2010. 133-136 (lecture,international peer-review,published,scientific).

2. Kralik, Gordana; Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan.
Solving parameter identification problem by the moving least absolute deviations method // Proceedings of the 12th International Conference on Operational Research KOI2008 / V. Boljunčić, L. Neralić, K. Šorić, editor(s).
Pula : Croatian Operational Research Society, 2010. 297-307 (lecture,international peer-review,published,scientific).

3. Kušec, Goran; Kuzmanović, Ivana; Sabo, Kristian; Scitovski, Rudolf.
A new method for searching an $L_1$ solution of an overdetermined system of linear equations and applications // Proceedings of the 12th International Conference on Operational Research KOI2008 / V. Boljunčić, L. Neralić, K. Šorić, editor(s).
Pula : Croatian Operational Research Society, 2010. 309-319 (lecture,international peer-review,published,scientific).

4. Marković, Darija; Jukić, Dragan.
A review of some existence results on parameter estimation problem in the three-parameter Weibull model // Proceedings of the 12th International Conference on Operational Research KOI2008 / V. Boljunčić, L. Neralić, K. Šorić, editor(s).
Pula : Croatian Operational Research Society, 2010. 103-111 (lecture,international peer-review,published,scientific).

5. Matijević, Domagoj; Taler, Petar; Martinović, Goran.
DISTRIBUTER - The Distributed System for Efficient Execution of Parallel Programs // MIPRO 2010 Proceedings Vol. I. (MEET & GVS) / Biljanović, Petar ; Skala, Karolj, editor(s).
Rijeka : Croatian Society for Information and Communication Technology, Elecrtronics and Microelectronics - MIPRO, 2010. 280-284 (lecture,international peer-review,published,scientific). prilozen text rada

6. Elbassioni, Khaled; Krohn, Erik; Matijević, Domagoj; Mestre, Julian; Ševerdija, Domagoj.
Improved Approximation Algorithms for 1.5D Terrain Guarding // Proceedings of the 26th International Symposium on Theoreticas Aspects of Computer Science / Susanne Albers, Jean-Yves Marion, editor(s).
Freiburg : IBFI Schloss Dagstuhl, 2009. 361-372 (lecture,international peer-review,published,scientific). prilozen text radaURL link to work

7. Kuzmanović, Ivana; Sabo, Kristian; Scitovski, Rudolf; Vazler, Ivan.
The least absolute deviation linear regression: properties and two efficient methods // Aplimat-Journal of Applied Mathematics / Kováčová Monika, editor(s).
Bratislava : Slovak University of Technology in Bratislava, 2009. 227-240 (lecture,international peer-review,published,scientific).

8. Bast, Holger; Funke, Stefan; Matijević, Domagoj; Sanders, Peter; Schultes, Dominik.
In Transit to Constant Time Shortest-Path Queries in Road Networks // Proceedings of 9th Workshop on Algorithm Enginneering and Experiments / Applegate, David ; Brodal, Gerth, editor(s).
Philadelphia : SIAM, 2007. 46-59 (lecture,international peer-review,published,scientific). prilozen text radaURL link to work
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  Abstracts in Book of abstracts
 

1. Pečarić, Josip; Ribičić Penava, Mihaela.
Generalizations of Bullen type inequalities // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja, editor(s).
Rijeka, 2012. 115-115 (poster,international peer-review,abstract,scientific).

2. Soldo, Ivan.
Diophantine quadruples in Z[√ -2] // Number Theory and Its Applications.
Debrecen, 2010. (lecture,international peer-review,abstract,scientific).

3. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela.
General two-point and four-point quadrature formulae based on the weighted Montgomery identity and related inequalities // International Congress on Mathematics MICOM 2009, Book of Abstracts / Dodunekov, Stefan ; Eraković, Vesna, editor(s).
Skopje : Union of Mathematicans of Macedonia, 2009. 13-14 (lecture,international peer-review,abstract,scientific).

4. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela.
Companion inequalities to Jensen's inequality for m-convex functions // Abstracts of the 4th Croatian Mathematical Congress / Scitovski, Rudolf, editor(s).
Osijek, 2008. 34-35 (lecture,international peer-review,abstract,scientific).

5. Klaričić Bakula, Milica; Ribičić Penava, Mihaela.
General four-point quadrature formulae with applications for alpha-L-Hölder type functions // Mathematical inequalities and applications 2008 : conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday : book of abstracts / Čižmešija, Aleksandra ; Varošanec, Sanja, editor(s).
Zagreb : Element, 2008. 87-87 (lecture,international peer-review,abstract,scientific).
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  Dissertations
 

1. Soldo, Ivan.
Some Diophantine Problems over the Imaginary Quadratic Fields / doctoral thesis.
Zagreb : Prirodoslovno matematički fakultet - Matematički odsjek, 02.07. 2012, 127 pages. Mentor: Dujella, Andrej.

2. Darija Marković.
Parameter Estimation Problem in the Weibull Model / doctoral thesis.
Zagreb : Matematički odjel, 07.05. 2009, 117 pages. Mentor: Dragan Jukić.

3. Ribičić Penava, Mihaela.
Montgomery identity, quadrature formulae and derived inequalities / doctoral thesis.
Zagreb : Prirodoslovno -matematički fakultet, Matematički odjel, 21.04. 2009., 152 pages. Mentor: Klaričić Bakula, Milica.

4. Matijević, Domagoj.
Geometric Optimization and Querying -- Exact and Approximate / doctoral thesis.
Saarbruecken : Naturwiessenschaftlich-Technische Fakultaet I, Mathematik und Informatik, 13.09. 2007, 118 pages. Mentor: Funke, Stefan.prilozen text radaURL link to work
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  Patents
 

1. Bast, Holger; Funke, Stefan; Matijević, Domagoj.
Method and device for determining the length of a shortest path in a network.
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