Edit Profile (opens in new tab) Gajek, Lesław Co-Author Distance Author ID: gajek.leslaw Published as: Gajek, Lesław; Gajek, L.; Gajek, Leslaw; Gajek, Lestaw more...less Homepage: https://im.p.lodz.pl/en/about/academic-staff?pracownik=119 External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 71 Publications since 1983, including 2 Additional arXiv Preprints Co-Authors: 24 Co-Authors with 55 Joint Publications 286 Co-Co-Authors all top 5 Co-Authors 16 single-authored 11 Zagrodny, Dariusz 8 Kałuszka, Marek 7 Rudź, Marcin 6 Okolewski, Andrzej 4 Krajewska, Elżbieta 3 Gather, Ursula 3 Jachymsky, Jacek R. 2 Lenic, Adam 2 Lipińska, V. 2 Pokarowski, Piotr 2 Rychlik, Tomasz 1 Bismarck, Malte 1 Brown, Lawrence David 1 Drwalewska, A. 1 Kuciński, Łukasz 1 Lenic, Elżbieta 1 Mielniczuk, Jan 1 Miś, P. 1 Mizera-Florczak, B. 1 Niemiro, Wojciech 1 Ostaszewski, Krzysztof M. 1 Słowińska, J. 1 Sobczyk, Kazimierz 1 Zwiesler, Hans-Joachim all top 5 Serials 7 Insurance Mathematics & Economics 6 Statistics & Probability Letters 5 Applicationes Mathematicae 4 The Annals of Statistics 4 Journal of Applied Analysis 3 Metrika 3 Optimization 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 2 Demonstratio Mathematica 2 Journal of Multivariate Analysis 2 Journal of Optimization Theory and Applications 2 Probability and Mathematical Statistics 2 Statistics 2 Communications in Statistics. Theory and Methods 2 Zeszyty Naukowe Politechniki Łódzkiej. Matematyka 2 Methodology and Computing in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Zastosowania Matematyki 1 Annals of the Institute of Statistical Mathematics 1 Dissertationes Mathematicae 1 Journal of Statistical Planning and Inference 1 Sankhyā. Series A. Methods and Techniques 1 Statistics & Decisions 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Mathematical Inequalities & Applications 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Scandinavian Actuarial Journal 1 Journal of Actuarial Practice 1 Stochastics all top 5 Fields 39 Statistics (62-XX) 21 Probability theory and stochastic processes (60-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 364 times in 268 Documents Cited by ▼ Year ▼ Projection method for moment bounds on order statistics from restricted families. II: Independent case. Zbl 0906.62050 Gajek, Lesław; Rychlik, Tomasz 38 1998 Insurer’s optimal reinsurance strategies. Zbl 0964.62099 Gajek, Lesław; Zagrodny, Dariusz 36 2000 Optimal reinsurance under general risk measures. Zbl 1136.91478 Gajek, Lesław; Zagrodny, Dariusz 36 2004 On improving density estimators which are not bona fide functions. Zbl 0623.62034 Gajek, Lesław 32 1986 Projection method for moment bounds on order statistics from restricted families. Zbl 0863.62045 Gajek, Lesław; Rychlik, Tomasz 26 1996 Information inequalities for the Bayes risk. Zbl 0722.62003 Brown, Lawrence D.; Gajek, Leslaw 18 1990 Projection bounds on expectations of record statistics from restricted families. Zbl 1031.62039 Gajek, L.; Okolewski, A. 13 2003 The Tarski-Kantorovitch principle and the theory of iterated function systems. Zbl 0952.54029 Jachymski, Jacek; Gajek, Lesław; Pokarowski, Piotr 13 2000 Countably orderable sets and their applications in optimization. Zbl 0815.49020 Gajek, L.; Zagrodny, D. 11 1992 Sharp bounds on moments of generalized order statistics. Zbl 1093.62534 Gajek, Lestaw; Okolewski, Andrzej 10 2000 Banach contraction principle and ruin probabilities in regime-switching models. Zbl 1402.91195 Gajek, Lesław; Rudź, Marcin 9 2018 Moment inequalities for order statistics with applications to characterizations of distributions. Zbl 0743.62013 Gajek, L.; Gather, U. 9 1991 On the deficit distribution when ruin occurs – discrete time model. Zbl 1110.91018 Gajek, Lesław 8 2005 Long- and short-range dependent sequences under exponential subordination. Zbl 0943.60013 Gajek, Lesław; Mielniczuk, Jan 7 1999 Steffensen-type inequalities for order and record statistics. Zbl 0913.62049 Gajek, Lesław; Okolewski, Andrzej 7 1997 Sharp approximations of ruin probabilities in the discrete time models. Zbl 1291.91107 Gajek, Lesław; Rudź, Marcin 7 2013 Complete discounted cash flow valuation. Zbl 1416.91395 Gajek, Lesław; Kuciński, Łukasz 6 2017 Existence of maximal points with respect to ordered bipreference relations. Zbl 0748.90061 Gajek, L.; Zagrodny, D. 6 1991 A generalization of Gerber’s inequality for ruin probabilities in risk-switching models. Zbl 1415.91153 Gajek, Lesław; Rudź, Marcin 5 2017 Inequalities for generalized order statistics from some restricted family of distributions. Zbl 1026.62048 Gajek, L.; Okolewski, A. 5 2000 Nonexponential applications of a global Cramér-Rao inequality. Zbl 0812.62026 Gajek, Lesław; Kałuszka, Marek 5 1995 On the minimax value in the scale model with truncated data. Zbl 0645.62011 Gajek, Lesław 4 1988 Approximate necessary conditions for locally weak Pareto optimality. Zbl 0827.90122 Gajek, L.; Zagrodny, D. 4 1994 Weierstrass theorem for monotonically semicontinuous functions. Zbl 0817.49010 Gajek, L.; Zagrodny, D. 4 1994 Optimal Monte Carlo integration with fixed relative precision. Zbl 1272.65005 Gajek, Lesław; Niemiro, Wojciech; Pokarowski, Piotr 4 2013 Deficit distributions at ruin in a regime-switching Sparre Andersen model. Zbl 1398.91327 Gajek, Lesław; Rudź, Marcin 3 2018 Improved Steffensen type bounds on expectations of record statistics. Zbl 0988.62028 Gajek, L.; Okolewski, A. 3 2001 A new immunization inequality for random streams of assets, liabilities and interest rates. Zbl 1290.91171 Gajek, Lesław; Krajewska, Elżbieta 3 2013 Estimating a density and its derivatives via the minimum distance method. Zbl 0644.62039 Gajek, Lesław 3 1989 Lower bounds for the asymptotic Bayes risk in the scale model (With application to the second-order minimax estimation). Zbl 0824.62023 Gajek, L.; Kałuszka, M. 3 1994 Geometric variational principle. Zbl 0858.49007 Gajek, Lesław; Zagrodny, Dariusz 3 1995 Estimating a scale parameter under censorship. Zbl 0742.62028 Gajek, L.; Gather, U. 3 1991 Finite-horizon ruin probabilities in a risk-switching Sparre Andersen model. Zbl 1457.91330 Gajek, Lesław; Rudź, Marcin 3 2020 Fixed point and approximate fixed point theorems for non-affine maps. Zbl 1295.47057 Gajek, L.; Jachymski, J.; Zagrodny, D. 2 1995 Characterizations of the exponential distribution by failure rate- and moment properties of order statistics. Zbl 0672.62021 Gajek, L.; Gather, U. 2 1989 The law of the iterated logarithm for \(L_ p\)-norms of empirical processes. Zbl 0852.60037 Gajek, L.; Kałuszka, M.; Lenic, A. 2 1996 Axiom of solvency and portfolio immunization under random interest rates. Zbl 1242.91093 Gajek, Lesław 2 2005 Projections, extendability of operators and the Gâteaux derivative of the norm. Zbl 0864.46002 Gajek, L.; Jachymski, J.; Zagrodny, D. 1 1995 Limiting properties of difference between the successive k-th record values. Zbl 0614.60020 Gajek, Lesław 1 1985 Upper bounds for the \(L_ 1\)-risk of the minimum \(L_ 1\)-distance regression estimator. Zbl 0772.62037 Gajek, L.; Kałuszka, M. 1 1992 An approximate necessary condition for the optimal bandwidth selector in kernel density estimation. Zbl 0789.62028 Gajek, L.; Lenic, A. 1 1993 Geometric mean value theorems for the Dini derivative. Zbl 0829.46028 Gajek, Lesław; Zagrodny, Dariusz 1 1995 Note on unbiased estimability of the larger of two mean values. Zbl 0831.62023 Gajek, L. 1 1995 A primer on duration, convexity, and immunization. Zbl 1192.91188 Gajek, Leslaw; Ostaszewski, Krzysztof; Zwiesler, Hans-Joachim 1 2005 Approximating sums of products of dependent random variables. Zbl 1455.60048 Gajek, Lesław; Krajewska, Elżbieta 1 2020 General methods for bounding multidimensional ruin probabilities in regime-switching models. Zbl 1496.60090 Gajek, Lesław; Rudź, Marcin 1 2021 General methods for bounding multidimensional ruin probabilities in regime-switching models. Zbl 1496.60090 Gajek, Lesław; Rudź, Marcin 1 2021 Finite-horizon ruin probabilities in a risk-switching Sparre Andersen model. Zbl 1457.91330 Gajek, Lesław; Rudź, Marcin 3 2020 Approximating sums of products of dependent random variables. Zbl 1455.60048 Gajek, Lesław; Krajewska, Elżbieta 1 2020 Banach contraction principle and ruin probabilities in regime-switching models. Zbl 1402.91195 Gajek, Lesław; Rudź, Marcin 9 2018 Deficit distributions at ruin in a regime-switching Sparre Andersen model. Zbl 1398.91327 Gajek, Lesław; Rudź, Marcin 3 2018 Complete discounted cash flow valuation. Zbl 1416.91395 Gajek, Lesław; Kuciński, Łukasz 6 2017 A generalization of Gerber’s inequality for ruin probabilities in risk-switching models. Zbl 1415.91153 Gajek, Lesław; Rudź, Marcin 5 2017 Sharp approximations of ruin probabilities in the discrete time models. Zbl 1291.91107 Gajek, Lesław; Rudź, Marcin 7 2013 Optimal Monte Carlo integration with fixed relative precision. Zbl 1272.65005 Gajek, Lesław; Niemiro, Wojciech; Pokarowski, Piotr 4 2013 A new immunization inequality for random streams of assets, liabilities and interest rates. Zbl 1290.91171 Gajek, Lesław; Krajewska, Elżbieta 3 2013 On the deficit distribution when ruin occurs – discrete time model. Zbl 1110.91018 Gajek, Lesław 8 2005 Axiom of solvency and portfolio immunization under random interest rates. Zbl 1242.91093 Gajek, Lesław 2 2005 A primer on duration, convexity, and immunization. Zbl 1192.91188 Gajek, Leslaw; Ostaszewski, Krzysztof; Zwiesler, Hans-Joachim 1 2005 Optimal reinsurance under general risk measures. Zbl 1136.91478 Gajek, Lesław; Zagrodny, Dariusz 36 2004 Projection bounds on expectations of record statistics from restricted families. Zbl 1031.62039 Gajek, L.; Okolewski, A. 13 2003 Improved Steffensen type bounds on expectations of record statistics. Zbl 0988.62028 Gajek, L.; Okolewski, A. 3 2001 Insurer’s optimal reinsurance strategies. Zbl 0964.62099 Gajek, Lesław; Zagrodny, Dariusz 36 2000 The Tarski-Kantorovitch principle and the theory of iterated function systems. Zbl 0952.54029 Jachymski, Jacek; Gajek, Lesław; Pokarowski, Piotr 13 2000 Sharp bounds on moments of generalized order statistics. Zbl 1093.62534 Gajek, Lestaw; Okolewski, Andrzej 10 2000 Inequalities for generalized order statistics from some restricted family of distributions. Zbl 1026.62048 Gajek, L.; Okolewski, A. 5 2000 Long- and short-range dependent sequences under exponential subordination. Zbl 0943.60013 Gajek, Lesław; Mielniczuk, Jan 7 1999 Projection method for moment bounds on order statistics from restricted families. II: Independent case. Zbl 0906.62050 Gajek, Lesław; Rychlik, Tomasz 38 1998 Steffensen-type inequalities for order and record statistics. Zbl 0913.62049 Gajek, Lesław; Okolewski, Andrzej 7 1997 Projection method for moment bounds on order statistics from restricted families. Zbl 0863.62045 Gajek, Lesław; Rychlik, Tomasz 26 1996 The law of the iterated logarithm for \(L_ p\)-norms of empirical processes. Zbl 0852.60037 Gajek, L.; Kałuszka, M.; Lenic, A. 2 1996 Nonexponential applications of a global Cramér-Rao inequality. Zbl 0812.62026 Gajek, Lesław; Kałuszka, Marek 5 1995 Geometric variational principle. Zbl 0858.49007 Gajek, Lesław; Zagrodny, Dariusz 3 1995 Fixed point and approximate fixed point theorems for non-affine maps. Zbl 1295.47057 Gajek, L.; Jachymski, J.; Zagrodny, D. 2 1995 Projections, extendability of operators and the Gâteaux derivative of the norm. Zbl 0864.46002 Gajek, L.; Jachymski, J.; Zagrodny, D. 1 1995 Geometric mean value theorems for the Dini derivative. Zbl 0829.46028 Gajek, Lesław; Zagrodny, Dariusz 1 1995 Note on unbiased estimability of the larger of two mean values. Zbl 0831.62023 Gajek, L. 1 1995 Approximate necessary conditions for locally weak Pareto optimality. Zbl 0827.90122 Gajek, L.; Zagrodny, D. 4 1994 Weierstrass theorem for monotonically semicontinuous functions. Zbl 0817.49010 Gajek, L.; Zagrodny, D. 4 1994 Lower bounds for the asymptotic Bayes risk in the scale model (With application to the second-order minimax estimation). Zbl 0824.62023 Gajek, L.; Kałuszka, M. 3 1994 An approximate necessary condition for the optimal bandwidth selector in kernel density estimation. Zbl 0789.62028 Gajek, L.; Lenic, A. 1 1993 Countably orderable sets and their applications in optimization. Zbl 0815.49020 Gajek, L.; Zagrodny, D. 11 1992 Upper bounds for the \(L_ 1\)-risk of the minimum \(L_ 1\)-distance regression estimator. Zbl 0772.62037 Gajek, L.; Kałuszka, M. 1 1992 Moment inequalities for order statistics with applications to characterizations of distributions. Zbl 0743.62013 Gajek, L.; Gather, U. 9 1991 Existence of maximal points with respect to ordered bipreference relations. Zbl 0748.90061 Gajek, L.; Zagrodny, D. 6 1991 Estimating a scale parameter under censorship. Zbl 0742.62028 Gajek, L.; Gather, U. 3 1991 Information inequalities for the Bayes risk. Zbl 0722.62003 Brown, Lawrence D.; Gajek, Leslaw 18 1990 Estimating a density and its derivatives via the minimum distance method. Zbl 0644.62039 Gajek, Lesław 3 1989 Characterizations of the exponential distribution by failure rate- and moment properties of order statistics. Zbl 0672.62021 Gajek, L.; Gather, U. 2 1989 On the minimax value in the scale model with truncated data. Zbl 0645.62011 Gajek, Lesław 4 1988 On improving density estimators which are not bona fide functions. Zbl 0623.62034 Gajek, Lesław 32 1986 Limiting properties of difference between the successive k-th record values. Zbl 0614.60020 Gajek, Lesław 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 298 Authors 25 Rychlik, Tomasz 23 Gajek, Lesław 11 Bieniek, Mariusz 11 Goroncy, Agnieszka 10 Kałuszka, Marek 9 Tan, Ken Seng 8 Raqab, Mohammad Zayed 7 Rudź, Marcin 7 Weng, Chengguo 7 Zagrodny, Dariusz 6 Kamps, Udo 6 Zhang, Yi 5 Chi, Yichun 5 Danielak, Katarzyna 5 Koike, Ken-ichi 5 Okolewski, Andrzej 4 DasGupta, Anirban 4 Krajewska, Elżbieta 4 Thas, Olivier 3 Best, D. John 3 Brown, Lawrence David 3 Cao, Yusong 3 Jiang, Zhengjun 3 Leśniak, Krzysztof 3 Müller, Hans-Georg 3 Papadatos, Nickos 3 Qiu, Guoxin 3 Rayner, John Charles Wi 3 Turinici, Mihai 3 Young, Virginia R. 3 Zhuang, Shengchao 2 Albrecher, Hansjörg 2 Andres, Jan 2 Balbás, Alejandro 2 Balbás, Beatriz 2 Boonen, Tim J. 2 Cai, Jun 2 Centeno, M. L. 2 Cui, Wei 2 Fišer, Jiří 2 Fitzsimmons, Maxwell 2 Gather, Ursula 2 Goreac, Dan 2 Heras, Antonio J. 2 Hössjer, Ola G. 2 Jones, Michael Chris 2 Kaishev, Vladimir K. 2 Kozyra, Paweł Marcin 2 Kunsch, Robert J. 2 Liang, Xiaoqing 2 Liu, Yuxuan 2 Manté, Claude 2 Mert, Ozenc Murat 2 Niemiro, Wojciech 2 Park, Byeong Uk 2 Rudolf, Daniel 2 Rukhin, Andrew L. 2 Selcuk-Kestel, A. Sevtap 2 Strawderman, William Edward 2 Wu, Chongfeng 2 Xu, Zuoquan 2 Yusong, Cao 2 Zhou, Chunyang 2 Zhou, Ming 1 Abbaspour, Manijeh 1 Abry, Patrice 1 Adenane, Rim 1 Ahmadi, Jafar 1 Algeri, Sara 1 Anevski, Dragi 1 Anh, Vo V. 1 Asimit, Alexandru V. 1 Assa, Hirbod 1 Avram, Florin 1 Azhdari, Parvin 1 Bagdonavičius, Vilijandas B. 1 Baione, Fabio 1 Balakrishnan, Narayanaswamy 1 Ball, Michael O. 1 Baltazar-Larios, Fernando 1 Barrientos, Pablo G. 1 Becker, Robert A. 1 Bednarczuk, Ewa M. 1 Beirlant, Jan 1 Beran, Jan 1 Berger, James Orvis 1 Bieniek, Milena 1 Birke, Melanie 1 Boczek, Michal 1 Bølviken, Erik 1 Bonhomme, Stéphane 1 Burkschat, Marco 1 Cani, Arian 1 Chang, Ching-Lueh 1 Chen, Shijie 1 Chen, Xinjia 1 Chen, Xinxiang 1 Chen, Zhengjia 1 Cheung, Ka Chun 1 Cho, Yeol Je ...and 198 more Authors all top 5 Cited in 86 Serials 28 Insurance Mathematics & Economics 24 Communications in Statistics. Theory and Methods 19 Journal of Statistical Planning and Inference 16 Statistics & Probability Letters 14 Statistics 11 Metrika 11 Scandinavian Actuarial Journal 8 Applied Mathematics and Computation 7 Optimization 6 North American Actuarial Journal 5 Annals of the Institute of Statistical Mathematics 5 Computational Statistics and Data Analysis 5 Journal of Nonparametric Statistics 5 Journal of Applied Analysis 5 Methodology and Computing in Applied Probability 4 Journal of Multivariate Analysis 3 Journal of Mathematical Analysis and Applications 3 The Annals of Statistics 3 Journal of Optimization Theory and Applications 3 Mathematical Methods of Statistics 2 The Canadian Journal of Statistics 2 Lithuanian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Journal of Econometrics 2 Mathematica Slovaca 2 Statistical Science 2 Test 2 Applied Mathematics. Series B (English Edition) 2 Statistical Papers 2 Probability in the Engineering and Informational Sciences 2 Journal of Systems Science and Complexity 2 ASTIN Bulletin 2 Journal of Statistical Theory and Practice 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of Mathematical Psychology 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematical Social Sciences 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Sequential Analysis 1 Journal of Complexity 1 Annals of Operations Research 1 The Annals of Applied Probability 1 European Journal of Operational Research 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Set-Valued Analysis 1 Topological Methods in Nonlinear Analysis 1 Applicationes Mathematicae 1 Fractals 1 Advances in Computational Mathematics 1 Bernoulli 1 Mathematical Problems in Engineering 1 Mathematical Methods of Operations Research 1 Australian & New Zealand Journal of Statistics 1 Journal of Applied Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Econometric Theory 1 Nonlinear Functional Analysis and Applications 1 Quantitative Finance 1 Entropy 1 Central European Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 REVSTAT 1 Fixed Point Theory and Applications 1 Journal of Industrial and Management Optimization 1 Stochastics 1 Frontiers of Mathematics in China 1 Journal of Computational and Graphical Statistics 1 Quantitative Economics 1 European Actuarial Journal 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Sahand Communications in Mathematical Analysis 1 Korean Journal of Mathematics all top 5 Cited in 29 Fields 165 Statistics (62-XX) 83 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 73 Probability theory and stochastic processes (60-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Operations research, mathematical programming (90-XX) 12 Operator theory (47-XX) 11 Numerical analysis (65-XX) 9 General topology (54-XX) 9 Systems theory; control (93-XX) 7 Measure and integration (28-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year