Viktor Witkovský

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All published works

Action	Title	Year	Authors
+ PDF Chat	Calibration of Scanning Thermal Microscope using Optimal Estimation of Function Parameters by Iterated Linearization	2025	Anna Charvátová Campbell Petr Klapetek Radek Šlesinger J. Martinek Václav Hortvík Viktor Witkovský Gejza Wimmer
+	Estimation of function parameters through iterated linearization for nonlinear errors-in-variable regression with correlated variables	2025	Viktor Witkovský Gejza Wimmer Anna Charvátová Campbell Petr Klapetek Radek Šlesinger
+	Applications of Iterated Linearization for non-linear errors-in-variable regression to metrological data	2025	Anna Charvátová Campbell Radek Šlesinger Viktor Witkovský Gejza Wimmer Jiřı́ Buršı́k
+	Locally best linear unbiased estimation of regression curves specified by nonlinear constraints on the model parameters	2024	Anna Charvátová Campbell Radek Šlesinger Petr Klapetek Martina Chvosteková Laura Hajzoková Viktor Witkovský Gejza Wimmer
+	Method Comparison for Numerical Inversion of Laplace Transform	2023	Laura Hajzoková Viktor Witkovský
+	Straight-Line Errors-In-Variables Calibration Model Versus Linear Regression Model	2023	Gejza Wimmer Viktor Witkovský
+ PDF Chat	Characteristic Function of the Tsallis q-Gaussian and Its Applications in Measurement and Metrology	2023	Viktor Witkovský
+ PDF Chat	On small sample inference for common mean in heteroscedastic one-way model	2023	Alexander Savin Gejza Wimmer Viktor Witkovský
+ PDF Chat	On the Behrens-Fisher distribution and its generalization to the pairwise comparisons	2023	Viktor Witkovský
+	Characteristic Function of the Tsallis $q$-Gaussian and Its Applications in Measurement and Metrology	2023	Viktor Witkovský
+	A numerical inversion of the bivariate characteristic function	2022	Andjela Mijanović Božidar V. Popović Viktor Witkovský
+ PDF Chat	ISO Linear Calibration and Measurement Uncertainty of the Result Obtained With the Calibrated Instrument	2022	Jakub Palenčár Rudolf Palenčár Miroslav Chytil Gejza Wimmer Gejza Wimmer Viktor Witkovský
+	Computing the exact distribution of a linear combination of generalized logistic random variables and its applications	2021	Božidar V. Popović Andjela Mijanović Viktor Witkovský
+ PDF Chat	Measurement Science is the Science of Sciences - There is no Science without Measurement	2020	Viktor Witkovský Ivan Frollo
+	Computing the exact distribution of the Bartlett's test statistic by numerical inversion of its characteristic function	2019	Viktor Witkovský
+	Exact distribution of selected multivariate test criteria by numerical inversion of their characteristic functions	2018	Viktor Witkovský
+	Exact distribution of selected multivariate test criteria by numerical inversion of their characteristic functions	2018	Viktor Witkovský
+	A goodness-of-fit test for uniform distribution with unknown limits	2017	František Rublík Viktor Witkovský
+	Computing the aggregate loss distribution based on numerical inversion of the compound empirical characteristic function of frequency and severity	2017	Viktor Witkovský Gejza Wimmer Tomas Duby
+	Computing the aggregate loss distribution based on numerical inversion of the compound empirical characteristic function of frequency and severity	2017	Viktor Witkovský Gejza Wimmer Tomas Duby
+	On Statistical Methods for Common Mean and Reference Confidence Intervals in Interlaboratory Comparisons for Temperature	2015	Viktor Witkovský Gejza Wimmer Stanislav Ďuriš
+ PDF Chat	Logarithmic Lambert<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si34.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>W</mml:mi></mml:mstyle><mml:mo>×</mml:mo><mml:mi mathvariant="script">F</mml:mi></mml:math>random variables for the family of chi-squared distributions and their applications	2014	Viktor Witkovský Gejza Wimmer Tomy Duby
+ PDF Chat	On the Exact Two-Sided Tolerance Intervals for Univariate Normal Distribution and Linear Regression	2014	Viktor Witkovský
+	Logarithmic Lambert $\mathrm{W}\times {\cal F}$ random variables for family of chi-squared distributions and their applications	2014	Viktor Witkovský Gejza Wimmer Tomy Duby
+	Tail Probability Calculator by Characteristic Function Inversion	2013	Tomas Duby Gejza Wimmer Viktor Witkovský
+	A Note on Computing Extreme Tail Probabilities of the Noncentral T Distribution with Large Noncentrality Parameter	2013	Viktor Witkovský
+	On the exact tolerance intervals for univariate normal distribution	2013	Viktor Witkovský
+	A Note on Computing Extreme Tail Probabilities of the Noncentral $t$-Distribution with Large Noncentrality Parameter	2013	Viktor Witkovský
+ PDF Chat	On exact inference in linear models with two variance-covariance components	2012	Júlia Vólaufová Viktor Witkovský
+	Two calibration models	2012	Gejza Wimmer Viktor Witkovský
+ PDF Chat	Two models for linear comparative calibration	2012	Gejza Wimmer Viktor Witkovský
+	Estimation, Testing, and Prediction Regions of the Fixed and Random Effects by Solving the Henderson’s Mixed Model Equations	2012	Viktor Witkovský
+	Note on a Calibration Problem: Selected Results and Extensions of Professor Kubáček's Research	2011	Gejza Wimmer Viktor Witkovský
+	Simultaneous Tolerance Intervals for the Linear Regression Model	2009	Viktor Witkovský Martina Chvosteková
+	The weighted mid-P confidence interval for the difference of independent binomial proportions	2007	Viktor Witkovský Gejza Wimmer
+	Univariate linear calibration via replicated errors-in-variables model	2006	Gejza Wimmer Viktor Witkovský
+	Estimation of variances in orthogonal finite discrete spectrum linear regression models	2004	František Štulajter Viktor Witkovský
+	Confidence region for parameters in replicated errors in variables model	2004	Gejza Wimmer Viktor Witkovský Alexander Savin
+	Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model	2003	Gejza Wimmer Viktor Witkovský
+	On Kenward-Roger Confidence Intervals for Common Mean inInterlaboratory Trials	2003	Alexander Savin Gejza Wimmer Viktor Witkovský
+	Consensus mean and interval estimators for the common mean	2003	Gejza Wimmer Viktor Witkovský
+	On the Exact Computation of the Density and of the Quantiles of Linear Combinations of and Random Variables	2002	Viktor Witkovský
+	Computing the Exact and the Mid-P Interval Estimates for the Difference of Two Independent Binomial Proportions	2002	Viktor Witkovský
+	Proper rounding of the measurement results under the assumptionof uniform distribution	2002	Gejza Wimmer Viktor Witkovský
+	Computing the Distribution of a Linear Combination of Inverted Gamma Variables	2001	Viktor Witkovský
+ PDF Chat	On Testing Variance Components in Unbalanced Mixed Linear Model	2001	Lydia Sirkova Viktor Witkovský
+	On the exact computation of the density and of the quantiles of linear combinations of t and F random variables	2001	Viktor Witkovský
+	ON STATISTICAL MODELS FOR CONSENSUS VALUES	2001	Viktor Witkovský Gejza Wimmer
+	Computing the distribution of a linear combination of inverted gamma variables	2001	Viktor Witkovský
+	On Seifert's ANOVA-like test for variance components	2000	Viktor Witkovský
+	On estimation of variance components with constraints	1998	Viktor Witkovský
+	Modified minimax quadratic estimation of variance components	1998	Viktor Witkovský
+ PDF Chat	Estimation of variance components in mixed linear models	1992	Júlia Vólaufová Viktor Witkovský
+	Least Squares and Minimum MSE Estimators of Variance Components in Mixed Linear Models	1991	Júlia Vólaufová Viktor Witkovský

Common Coauthors

Coauthor	Papers Together
Gejza Wimmer	24
Radek Šlesinger	4
Anna Charvátová Campbell	4
Tomas Duby	3
Petr Klapetek	3
Júlia Vólaufová	3
Alexander Savin	3
Laura Hajzoková	2
Tomy Duby	2
Božidar V. Popović	2
Martina Chvosteková	2
Andjela Mijanović	2
Lydia Sirkova	1
Stanislav Ďuriš	1
Rudolf Palenčár	1
Václav Hortvík	1
Jiřı́ Buršı́k	1
Jakub Palenčár	1
František Štulajter	1
J. Martinek	1
Miroslav Chytil	1
Ivan Frollo	1
František Rublík	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the exact computation of the density and of the quantiles of linear combinations of t and F random variables	2001	Viktor Witkovský	11
+ PDF Chat	Computing the distribution of quadratic forms in normal variables	1961	J. P. Imhof	10
+	Small Sample Inference for Fixed Effects from Restricted Maximum Likelihood	1997	Michael G. Kenward James Roger	9
+	Obtaining Distribution Functions by Numerical Inversion of Characteristic Functions with Applications	1995	Lance A. Waller Bruce W. Turnbull J. Michael Hardin	7
+	Statistical Tolerance Regions: Theory, Applications, and Computation	2008	K. Krishnamoorthy Thomas Mathew	6
+	A Method of Obtaining an Exact Confidence Interval for the Common Mean of Several Normal Populations	1972	William R. Fairweather	6
+	Computing the distribution of a linear combination of inverted gamma variables	2001	Viktor Witkovský	6
+	Estimation of a Common Mean and Weighted Means Statistics	1998	Andrew L. Rukhin Mark Vangel	6
+	Combining Unbiased Estimators	1959	Franklin A. Graybill Roy B. Deal	5
+	A minimax approach to combining means, with practical examples	1989	Keith R. Eberhardt Charles P. Reeve Clifford H. Spiegelman	5
+	Estimation of variance and covariance components—MINQUE theory	1971	C. Radhakrishna Rao	5
+	Confidence region for parameters in replicated errors in variables model	2004	Gejza Wimmer Viktor Witkovský Alexander Savin	4
+	Mean Squared Error of Estimation or Prediction under a General Linear Model	1992	David A. Harville Daniel R. Jeske	4
+	Models and Confidence Intervals for True Values in Interlaboratory Trials	2004	Hari Iyer C. M. Jack Wang Thomas Mathew	4
+	Statistical Tests for Mixed Linear Models	2000	Kenny Ye André I. Khuri Thomas Mathew Bimal K. Sinha André I. Khuri	4
+	The Fourier-series method for inverting transforms of probability distributions	1992	Joseph Abate Ward Whitt	4
+	Exact Confidence Intervals for the Common Mean of Several Normal Populations	1996	Scott M. Jordan K. Krishnamoorthy	4
+	Computing Tail Probabilities by Numerical Fourier Inversion: the Absolutely Continuous Case	2002	Robert L. Strawderman	4
+ PDF Chat	From Characteristic Function to Distribution Function: A Simple Framework for the Theory	1991	Neil Shephard	4
+	On exact confidence intervals for the common mean of several normal populations	1999	Philip L. H. Yu Yijun Sun Bimal K. Sinha	4
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	3
+ PDF Chat	Invariant Quadratic Unbiased Estimation for Two Variance Components	1976	Anthony R. Olsen Justus Seely David Birkes	3
+	Measurement, Regression, and Calibration	1996	Leon Jay Gleser Philip J. Brown	3
+	Calibration and Simultaneous Tolerance Intervals for Regression	1991	Robert W. Mee Keith R. Eberhardt Charles P. Reeve	3
+	Univariate linear calibration via replicated errors-in-variables model	2006	Gejza Wimmer Viktor Witkovský	3
+	Computing the Distribution of a Linear Combination of Inverted Gamma Variables	2001	Viktor Witkovský	3
+	Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model	2003	Gejza Wimmer Viktor Witkovský	3
+	Foundations of Estimation Theory	1988	Lubomı́r Kubáček	3
+	Algorithm AS 155: The Distribution of a Linear Combination of χ 2 Random Variables	1980	Robert B. Davies	3
+	Restricted maximum likelihood estimation of a common mean and the Mandel–Paule algorithm	2000	Andrew L. Rukhin Brad J. Biggerstaff Mark Vangel	3
+	Generalized Inverse of Matrices and Its Applications	1973	K. S. Banerjee	3
+ PDF Chat	Algorithm 644	1986	D. E. Amos	3
+	Consensus mean and interval estimators for the common mean	2003	Gejza Wimmer Viktor Witkovský	3
+	The Accurate Numerical Inversion of Laplace Transforms	1979	A. Talbot	3
+	Multi‐precision Laplace transform inversion	2004	Joseph Abate Peter P. Valkó	2
+	Test‐Based Exact Confidence Intervals for the Difference of Two Binomial Proportions	1999	Ivan S. F. Chan Zhongxin Zhang	2
+	Multiple Use Confidence Regions in Multivariate Calibration	1997	Thomas Mathew Wenxing Zha	2
+ PDF Chat	Numerical integration rules for multivariate inversions	1991	Neil Shephard	2
+ PDF Chat	Optimum Tests in Unbalanced Two-Way Models without Interaction	1988	Thomas Mathew Bimal K. Sinha	2
+ PDF Chat	Power Comparisons for Invariant Variance Ratio Tests in Mixed Anova Models	1989	Peter H. Westfall	2
+	A Comparison of Uncertainty Criteria for Calibration	1996	Robert W. Mee Keith R. Eberhardt	2
+	Minimum variance quadratic unbiased estimation of variance components	1971	C. Radhakrishna Rao	2
+	Distributions of exact tests in the exponential family	2003	Milan Stehl�k	2
+	On alleged gains in power from lower <i>P</i>‐values	1989	G. A. Barnard	2
+	THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED	1947	B. L. Welch	2
+	Maximum-likelihood estimation for the mixed analysis of variance model	1967	H. O. Hartley J. N. K. Rao	2
+	Computing discrete mixtures of continuous distributions: noncentral chisquare, noncentral t and the distribution of the square of the sample multiple correlation coefficient	2003	Denise Benton K. Krishnamoorthy	2
+	Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures	1968	Н.С. Бахвалов Л.Г. Васильева	2
+	Testing hypotheses in mixed linear models	1993	Burkhardt Seifert	2
+	Minimax linear regression estimation with symmetric parameter restrictions	1986	Jürgen Pilz	2