Publications of Andrej Pázman

Year 2010

• Information contained in design points of experiments with correlated observations. Kybernetika, vol.46 (2010), number 4, pp. 771–783
• A note on the relationship between two approaches to optimal design under correlation (with W.G.Müller). In: Advances in Model Oriented Design and Analysis (Eds. A.Giovagnolli, A.C.Atkinson, B.Torsney). Physica-Verlag, Springer 2010, p. 144-148.

Year 2009

• How to understand the nonlinear least squares method with the help of geometry (in Slovak). In ROBUST 08, JČMF Prague 2009, p. 287 - 303.
• Asymptotical normality of nonlinear least squares estimators under singular experimental design. (with L.Pronzato). In: Optimum Design and Related Area in Optimization and Statistics (Eds. L.Pronzato and A. Zhigljavsky). Springer 2009, p. 167 - 191.

Year 2008

• Modifications and extensions of the method of vortual noise in correlated experimental design. (with J. Laca). Tatra Mount. Math. Publ., vol. 39 (2008), 125-133

Year 2007

• Quantile and probability-level criteria for nonlinear experimental design (with L. Pronzato). In: Advances in Model-Oriented Design and Analysis (Eds. J. Lopéz-Fidalgo, J.M. Rodríguez-Díaz, B. Torsney) p. 157-164, Physica-Verlag, Springer, Heildelberg, 2007
• Criteria for optimal design of small-sample experiments with correlated observations. Kybernetika 43 (2007), p. 453-462

Year 2006

• On the irregular behaviour of LS estimators for asymptotically singular designs (with L. Pronzato). Statistics & Probability Letters 76 (2006), p. 1089-1096
• Asymptotic criteria for design in nonlinear regression with model errors (with L. Pronzato). Math. Slovaca 56 (2006), p. 543-553
• Designs in nonlinear regression by stochastic minimization of functionals of the mean square error matrix (with J.P.Gauchi). J. Statist. Planning & Inference 236 (2005), p. 1135-1152

Year 2005

• Elimination of Less Informative Design Points in Regression Models with a Known or Parametrized Covariance Function Report No. 18, Wirtschaftsuniversität Wien, June 2005

Year 2004

• Correlated optimum design with parametrized covariance function: Justification of the use of the Fisher information matrix and of the method of virtual noise. Report No. 5, Wirtschaftsuniversität Wien, June 2004
• Moindres carrés pondérés récursifs dans les modèles de régression à variance paramétrée (with L.Pronzato). In: Proc. Journees Francaises de Statistiques (2004), Monpellier, France
• Recursively re-weighted least-squares estimation in regression models with parametrized variance (with L.Pronzato). In: Proc. of EUSIPCO 2004 (Eds. F.Hlawatsch, G.Matz, M.Rupp, B.Wistavel) CRYPTAS it-Security&Media GmbH, Wien 2004, pp. 621-624.
• Simultaneous choice of design and estimator in nonlinear regression with parametrized variance (with L.Pronzato). In Proc. mODa 7 conference, Physica-Verlag (Springer), Heilderberg 2004, p. 117-124
• Small-size designs in nonlinear models computed by stochastic optimization (with J.P. Gauchi). In Proc. mODa 7 conference, Physica-Verlag (Springer), Heilderberg 2004, p. 71-79.

Year 2003

• Optimum design of nonlinear experiments based on linear Bayesian estimators (with K.Hornišová). Tatra Mount. Math.Publ., vol. 26 (2003), 69-77
• Measures for designs in experiments with correlated errors. (With W.G.Müller). Biometrika 90 (2003), 423-434

Year 2002

• Results on nonlinear least squares estimators under nonlinear equality constraints. Journal of  Statistical Planning and Inference 103 (2002), p. 401-420.
• Measures of nonlinearity for biadditive models. (with J.-B. Denis). Metrika 55 (2002), p. 233-246
• Optimal design of nonlinear experiments with parameter constraints. Metrika 56 (2002),  113-130
• Statistical experiment and optimal design. Encyclopedia of Life Support Systems, EOLSS publishers Co Ltd., Oxford (electronic publication)

Year 2001

• Using densities of estimators to compare pharmacocitetic experiments.(with L. Pronzato). Computers in Biology and Medicine 31 (2001), p. 179-195.
• Optimal design of experiments subject to correlated errors (with W.G. Müller). Statistics & Probability Letters, 52 (2001), p. 29-34.
• Linearization of nonlinear regression models by smoothing. Tatra Mountains Mathem.Publ. 22 (2001), p. 13-25.

Year 2000

• Concentration sets, Elfving sets and norms in optimum experimental design. In: Optimum Design 2000 (Eds. A.C.Atkinson et al.), p. 101-102. Kluwer Acad. Publ., Dordrecht 2000.

Year 1999

• Bias of the M.L.E. in singular nonlinear regression models. Tatra Mountains Math. Publications 17 (1999), p. 55-63
• Some properties and improvements of the saddlepoint approximation in nonliear regression. Ann. Inst. Statist. Math. 51 (1999), p. 463-478
• An algorithm for the computation of optimum designs under a given covariance structure. (with W.G. Müller) Computational Statistics 14 (1999), 197-211
• Bias of LS estimators in nonlinear regression models with constraints. Part I : General case. (with J.-B.Denis) Applications of Mathematics 44 (1999), 359-374
• Bias of LS estimators in nonlinear regression models with constraints. Part II : Biaditive models. (with J.-B.Denis) Applications of Mathematics 44 (1999), 375-403
• Some geometrical aspects of the nonlinear least squares method. Acta Physice Universitatis Comenianae XI (1999), 69-90

Year 1998

• Aplications of neccessary and sufficient conditions for maximum efficient design (with Ch.H. Müller). Metrika 48 (1998), p. 1-19
• Design measures and approximate information matrices for experiments without replications (with W.G. Müller). Journal Statist. Plan. & Inference 71 (1998), p. 349-362
• A new interpretation of design measures. (with W.G. Müller). In MODA 5 (Eds. A.C. Atkinson, L. Pronzato, H.P. Wynn) (1998), p. 240-245,
• Approximate densities of two bias-corrected nonlinear LS estimators. (with L. Pronzato). In MODA 5 (Eds. A.C. Atkinson, L. Pronzato, H.P. Wynn) (1998), p. 146-151

Year 1996

• On modified information matrices in nonlinear regression. Tatra Mountains Math. Publ. 7 (1996), p. 215-221
• A Dirac-function method for densities of nonlinear statistics and for marginal densities in nonlinear regression (with L. Pronzato). Statistics & Probability Letters 26 (1996), p. 159-167
• Distribution of estimators and optimal experimental design in nonlinear regression. Kybernetika 32 (1996), p. 491-499
• The density of the parameter estimators when the observations are distributed exponentially. Metrika 44 (1996), p. 9-26

Year 1994

• The geometry of nonlinear inference : accounting of prior and boundaries. LINSTAT 93, p. 159-170 (Eds. T. Calinski, R. Kala) Kluwer Acad.Publ. Dordrecht 1994
• Second order approximation of the entropy in nonlinear least-squares estimation (with L. Pronzato). Kybernetika 30 (1994), p. 187-198
Erratum: Kybernetika 32 (1994) p. 104

Year 1993

• Higher dimensional nonlinear regression - a statistical use of the Riemannian curvature tensor. Statistics 25 (1993), p. 17-25

Year 1992

• Nonlinear experimental design based on the distribution of estimators (with L. Pronzato). Journal Statist. Plan. and Inference 33 (1992), p. 382-407
• A classification of nonlinear regression models and parameter confidence regions. Kybernetika 28 (1992), p. 444-453
• Geometry of the nonlinear regression with prior. Acta Physice Universitatis Comenianae LXI (1992), p. 263-276

Year 1991

• Curvatures and the distribution of the maximum likelihood estimator in nonlinear exponential models. Revista Brasileira de Probabilidade e Estatística 5 (1991), p. 43-63
• Pivotal variables and confidence region in flat nonlinear regression models with unknown sigma. Statistics 22 (1991), p. 177-189

Year 1990

• Almost exact distributions of estimators I - flat nonlinear regression models. Statistics 21 (1990), p. 9-19
• Almost exact distributions of estimators II - flat nonlinear regression models. Statistics 21 (1990), p. 21-33
• Small sample distributional properties of nonlinear regression estimators (a geometric approach). Statistics 21 (1990), p. 323-367

Year 1989

• A sufficient statistic and a nonstandard linearization in nonlinear regression. Kybernetika 25 (1989)
• On information matrices in nonlinear experimental design. Journal of Statistical Planning & Inference 21 (1989), p. 253-263

Year 1988

• Distribution of the weighted L.S. estimates in nonlinear models with symmetrical errors. Kybernetika 24 (1988), p. 413-427
• On the non-asymptotic distribution of the M.L. estimates in curved exponetial families. In: Trans. of 10th Prague Conf. on Information Theory, p. 117-132. Academia Publ. House, Prague 1988.
• Some statistical consequences of the geometry of nonlinear regression. In: Proc. 5th Panonian Symp. on Math. Stat., Visegrád/Hung. 1985 (W Grossman et al., eds.), Physica Verlag, Heildelberg, 1988, p. 273-283

Year 1987

• On formulas for the distribution of nonlinear LS estimates. Statistics 18, (1987), p. 3-15
• Discussion to the paper by Dr. Jorgensen. J. Roy. Statist. Soc. B 49 (1987), p. 155-156
• Flat Gaussian nonlinear regression models. In: Model Oriented Data Analysis (V. Fedorov, H. Lauter, eds.), Springer Lecture Notes in Econom. and Math. Systems, Vol. 297 Springer-Verlag, Berlin, 1987, p. 120-124

Year 1986

• On the uniqueness of the M.L. estimates in curved exponential families. Kybernetika 22 (1986), p. 124-132.

Year 1985

• Sequential and iterative designs of experiments. In: Banach Center Publ., Vol. 16, Warsaw, 1985, p. 443-453.

SELECTED PAPERS BEFORE 1985

• Nonlinear least squares - uniqueness versus ambiguity. Math. Operationsforsch. u. Statist., Ser. Statistics 15 (1984), p. 323-336.
• Probability distribution of the multivariate nonlinear least squares estimates. Kybernetika 20 (1984), p. 209-230.
• Optimal designs for the estimation of polynomial functionals. Kybernetika 17 (1981), p. 16-31.
• Some features of the optimal design theory - a survey. Math. Operationsforsch. u. Statist., Ser. Statistics 11(1980),  p. 415-446
• Singular experimental designs. Math. Operationsforsch. u. Statist., Ser. Statistics 11 (1980),  p. 137-149
• Computation of the optimum designs under singular information matrices. Ann. Statist. 6 (1978), p. 465-467.
• Hilbert space methods in experimental design. Kybernetika 14 (1978), p. 73-84.
• Plans d'expérience pour les estimations de fonctionnelles non-linéaires. Ann. Inst. Henri Poincare XIII (1977), p. 259-267
• Optimum experimental designs with a lack of a priori information. Kybernetika 11 (1975), p. 355-367.
• The ordering of experimental designs (A Hilbert space approach). Kybernetika 10 (1974), p. 373-388
• A convergence theorem in the theory of D-optimum experimental designs. Ann. Statist. 2 (1974), p. 216-218
• Optimum nets (with L.Kubácek). Studia geoph. et geod. 18 (1974), p. 91-102
• Testing of analycity of πN forward scattering amplitude and the determination of the πN coupling constant. Nuclear Physics B46 (1972), p. 637-643 (with J. Pišút, P. Prešnajder, P. Lichard)
• The problem of the unambiguity of phase-shift analysis I. - Description of a powerful discriminating criterion (with S.Bilenkaya, J.Bystricky, Z.Janout, F.Lehar). Czech. J. Phys. B 19 (1969), p. 882-890.
• Design of Physical experiments (Statistical methods) (with V.V.Fedorov). Fortschritte der Physik 16 (1968), p. 325-355.
• Sequential design of experiments performed in several measurement points. Theory. Veroyatn. Primen. 13 (1968), p. 479-489
• Planning of regression and discriminating experiments on the NN scattering (with V.V.Fedorov). Journal of Nuclear Physics 6 (1967), p. 853-857 (In Russian)