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Sklar, Abe

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Author ID: sklar.abe Recent zbMATH articles by "Sklar, Abe"
Published as: Sklar, A.; Sklar, Abe
Homepage: https://science.iit.edu/people/faculty/abe-sklar
External Links: MGP · Wikidata
Documents Indexed: 55 Publications since 1952, including 2 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 2,273 times in 1,687 Documents Cited by Year
Probabilistic metric spaces. Zbl 0546.60010
Schweizer, B.; Sklar, A.
988
1983
Statistical metric spaces. Zbl 0091.29801
Schweizer, B.; Sklar, A.
453
1960
Associative functions and abstract semigroup. Zbl 0119.14001
Schweizer, B.; Sklar, A.
154
1964
Associative functions and statistical triangle inequalities. Zbl 0107.12203
Schweizer, B.; Sklar, A.
115
1961
The metrization of statistical metric spaces. Zbl 0096.33203
Schweizer, B.; Sklar, A.; Thorp, E.
83
1960
Random variables, joint distribution functions, and copulas. Zbl 0292.60036
Sklar, Abe
71
1973
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
69
1993
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
46
1997
The algebra of functions. Zbl 0095.10101
Schweizer, B.; Sklar, A.
27
1960
Distributional (and other) chaos and its measurement. Zbl 1012.37022
Schweizer, B.; Sklar, A.; Smítal, J.
26
2001
Function systems. Zbl 0163.01403
Schweizer, B.; Sklar, A.
26
1967
Operations on distribution functions not derivable from operations on random variables. Zbl 0292.60035
Schweizer, B.; Sklar, A.
25
1974
Espaces métriques aléatoires. Zbl 0085.12503
Schweizer, Berthold; Sklar, Abe
19
1958
When is \(f(f(z))=az^2+bz+c\)? Zbl 0441.30033
Rice, R. E.; Schweizer, B.; Sklar, A.
18
1980
The algebra of functions. III. Zbl 0134.12602
Schweizer, B.; Sklar, A.
15
1965
The algebra of functions. II. Zbl 0099.31901
Schweizer, B.; Sklar, A.
15
1961
Distributional chaos on compact metric spaces via specification properties. Zbl 1060.37012
Sklar, A.; Smítal, J.
14
2000
Triangle inequalities in a class of statistical metric spaces. Zbl 0136.39301
Schweizer, B.; Sklar, A.
11
1963
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
10
1997
Probabilistic metric spaces. Reprint of the 1983 ed., updated with 3 new appendixes. Zbl 1231.60008
Schweitzer, Berthold; Sklar, Abe
7
2012
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J.
7
2003
Inequalities among operations on probability distribution functions. Zbl 0383.60021
Moynihan, R.; Schweizer, B.; Sklar, A.
7
1978
A mapping-algebra with infinitely many operations. Zbl 0103.24903
Schweizer, B.; Sklar, A.
7
1962
Mixing transformations on metric spaces. Zbl 0269.28005
Erber, T.; Schweizer, B.; Sklar, A.
6
1973
Statistical metric spaces arising from sets of random variables in Euclidean n-spaces. Zbl 0118.12901
Schweizer, B.; Sklar, A.
6
1963
The algebra of mulitplace vector-valued functions. Zbl 0217.01703
Schweizer, B.; Sklar, A.
5
1967
Mesures aléatoires de l’information. Zbl 0186.53302
Schweizer, B.; Sklar, A.
4
1969
The approximate functional equation of Hecke’s Dirichlet series. Zbl 0079.05901
Apostol, T. M.; Sklar, Abe
4
1957
On the factorization of squarefree integers. Zbl 0047.04403
Sklar, Abe
4
1952
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
3
1987
Probabilistic metric spaces determined by measure preserving transformations. Zbl 0259.60004
Schweizer, B.; Sklar, A.
3
1973
Mesure aléatoire de l’information et mesure de l’information par un ensemble d’observateurs. Zbl 0211.51301
Schweizer, B.; Sklar, A.
3
1971
Canonical decompositions, stable functions, and fractional iterates. Zbl 0181.16101
Sklar, A.
3
1969
A grammar of functions. Zbl 0164.33502
Schweizer, B.; Sklar, A.
3
1968
On probabilistic metrics and numerical metrics with probability. I. Zbl 0144.39502
Menger, K.; Schweizer, B.; Sklar, A.
3
1959
Invariants and equivalence classes of polynomials under linear conjugacy. Zbl 0699.12034
Schweizer, Berthold; Sklar, Abe
2
1988
Continuous functions that conjugate trapezoid functions. Zbl 0575.39004
Schweizer, B.; Sklar, A.
2
1985
All trapezoid functions are conjugate. Zbl 0529.39005
Schweizer, B.; Sklar, A.
2
1983
Probabilistic information spaces. Zbl 0484.94014
Schweizer, Berthold; Sklar, Abe
2
1978
Recurrence and dispersion under iteration of Cebysev polynomials. Zbl 0438.28016
Johnson, P.; Sklar, A.
2
1976
Polynomials and divided differences. Zbl 1092.39021
Riedel, Thomas; Sablik, Maciej; Sklar, Abe
1
2005
The structure of one-dimensional flows with continuous trajectories. Zbl 0637.39006
Sklar, Abe
1
1987
A grammar of functions. II. Zbl 0179.03803
Schweizer, B.; Sklar, A.
1
1969
Probabilistic metric spaces. Reprint of the 1983 ed., updated with 3 new appendixes. Zbl 1231.60008
Schweitzer, Berthold; Sklar, Abe
7
2012
Polynomials and divided differences. Zbl 1092.39021
Riedel, Thomas; Sablik, Maciej; Sklar, Abe
1
2005
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J.
7
2003
Distributional (and other) chaos and its measurement. Zbl 1012.37022
Schweizer, B.; Sklar, A.; Smítal, J.
26
2001
Distributional chaos on compact metric spaces via specification properties. Zbl 1060.37012
Sklar, A.; Smítal, J.
14
2000
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
46
1997
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
10
1997
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
69
1993
Invariants and equivalence classes of polynomials under linear conjugacy. Zbl 0699.12034
Schweizer, Berthold; Sklar, Abe
2
1988
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
3
1987
The structure of one-dimensional flows with continuous trajectories. Zbl 0637.39006
Sklar, Abe
1
1987
Continuous functions that conjugate trapezoid functions. Zbl 0575.39004
Schweizer, B.; Sklar, A.
2
1985
Probabilistic metric spaces. Zbl 0546.60010
Schweizer, B.; Sklar, A.
988
1983
All trapezoid functions are conjugate. Zbl 0529.39005
Schweizer, B.; Sklar, A.
2
1983
When is \(f(f(z))=az^2+bz+c\)? Zbl 0441.30033
Rice, R. E.; Schweizer, B.; Sklar, A.
18
1980
Inequalities among operations on probability distribution functions. Zbl 0383.60021
Moynihan, R.; Schweizer, B.; Sklar, A.
7
1978
Probabilistic information spaces. Zbl 0484.94014
Schweizer, Berthold; Sklar, Abe
2
1978
Recurrence and dispersion under iteration of Cebysev polynomials. Zbl 0438.28016
Johnson, P.; Sklar, A.
2
1976
Operations on distribution functions not derivable from operations on random variables. Zbl 0292.60035
Schweizer, B.; Sklar, A.
25
1974
Random variables, joint distribution functions, and copulas. Zbl 0292.60036
Sklar, Abe
71
1973
Mixing transformations on metric spaces. Zbl 0269.28005
Erber, T.; Schweizer, B.; Sklar, A.
6
1973
Probabilistic metric spaces determined by measure preserving transformations. Zbl 0259.60004
Schweizer, B.; Sklar, A.
3
1973
Mesure aléatoire de l’information et mesure de l’information par un ensemble d’observateurs. Zbl 0211.51301
Schweizer, B.; Sklar, A.
3
1971
Mesures aléatoires de l’information. Zbl 0186.53302
Schweizer, B.; Sklar, A.
4
1969
Canonical decompositions, stable functions, and fractional iterates. Zbl 0181.16101
Sklar, A.
3
1969
A grammar of functions. II. Zbl 0179.03803
Schweizer, B.; Sklar, A.
1
1969
A grammar of functions. Zbl 0164.33502
Schweizer, B.; Sklar, A.
3
1968
Function systems. Zbl 0163.01403
Schweizer, B.; Sklar, A.
26
1967
The algebra of mulitplace vector-valued functions. Zbl 0217.01703
Schweizer, B.; Sklar, A.
5
1967
The algebra of functions. III. Zbl 0134.12602
Schweizer, B.; Sklar, A.
15
1965
Associative functions and abstract semigroup. Zbl 0119.14001
Schweizer, B.; Sklar, A.
154
1964
Triangle inequalities in a class of statistical metric spaces. Zbl 0136.39301
Schweizer, B.; Sklar, A.
11
1963
Statistical metric spaces arising from sets of random variables in Euclidean n-spaces. Zbl 0118.12901
Schweizer, B.; Sklar, A.
6
1963
A mapping-algebra with infinitely many operations. Zbl 0103.24903
Schweizer, B.; Sklar, A.
7
1962
Associative functions and statistical triangle inequalities. Zbl 0107.12203
Schweizer, B.; Sklar, A.
115
1961
The algebra of functions. II. Zbl 0099.31901
Schweizer, B.; Sklar, A.
15
1961
Statistical metric spaces. Zbl 0091.29801
Schweizer, B.; Sklar, A.
453
1960
The metrization of statistical metric spaces. Zbl 0096.33203
Schweizer, B.; Sklar, A.; Thorp, E.
83
1960
The algebra of functions. Zbl 0095.10101
Schweizer, B.; Sklar, A.
27
1960
On probabilistic metrics and numerical metrics with probability. I. Zbl 0144.39502
Menger, K.; Schweizer, B.; Sklar, A.
3
1959
Espaces métriques aléatoires. Zbl 0085.12503
Schweizer, Berthold; Sklar, Abe
19
1958
The approximate functional equation of Hecke’s Dirichlet series. Zbl 0079.05901
Apostol, T. M.; Sklar, Abe
4
1957
On the factorization of squarefree integers. Zbl 0047.04403
Sklar, Abe
4
1952
all top 5

Cited by 1,579 Authors

83 Mesiar, Radko
37 Klement, Erich Peter
33 De Baets, Bernard
31 Cho, Yeol Je
30 Saadati, Reza
27 Chang, Shih-Sen
27 Durante, Fabrizio
27 Pap, Endre
26 Romaguera Bonilla, Salvador
24 Miheţ, Dorel
24 Morsi, Nehad Nashaat
23 Hong, Dug Hun
22 Trillas, Enric
21 Alsina, Claudi
21 Sempi, Carlo
20 Schweizer, Berthold
19 Dubois, Didier
17 Höhle, Ulrich
17 Sklar, Abe
16 Fodor, János C.
15 Kerre, Etienne E.
15 Prade, Henri M.
14 Zhu, Chuanxi
13 Choudhury, Binayak Samadder
13 Fang, Jinxuan
13 Gregori, Valentín
13 Guo, Tiexin
13 Navara, Mirko
13 Saminger-Platz, Susanne
13 Yager, Ronald R.
12 Calvo, Tomasa
12 Jäger, Gunther
12 Lafuerza Guillén, Bernardo
12 Mohiuddine, Syed Abdul
12 Pedrycz, Witold
12 Quesada-Molina, José Juan
12 Úbeda-Flores, Manuel
11 Eshaghi Gordji, Madjid
11 Jenei, Sándor
11 Kolesárová, Anna
11 Mesiarová-Zemánková, Andrea
11 Park, Choonkil
11 Sintunavarat, Wutiphol
11 Wu, Zhaoqi
10 Abbas, Mujahid
10 Chauhan, Sunny
10 de la Sen, Manuel
10 Fernández-Sánchez, Juan
10 Imdad, Mohammad
10 Recasens, Jordi
10 Rodríguez Lallena, José Antonio
10 Sanchis, Manuel
10 Sarkoci, Peter
10 Zhang, Dexue
9 Deschrijver, Glad
9 Gutiérrez García, Javier
9 Hashem, Khaled A.
9 Jung, Jong Soo
9 Ouyang, Yao
9 Scarsini, Marco
9 Şençımen, Celaleddin
9 Vaezpour, Seyyed Mansour
9 Vetro, Calogero
8 Bedregal, Benjamín Callejas
8 Kang, Shin Min
8 Karaçal, Funda
8 Kumam, Poom
8 Marichal, Jean-Luc
8 Mayor, Gaspar
8 Roldán-López-de-Hierro, Antonio-Francisco
8 Sapena, Almanzor
8 Smítal, Jaroslav
8 Šostak, Alexander P.
8 Stokes, Timothy E.
7 Bouzebda, Salim
7 Çaylı, Gül Deniz
7 Davvaz, Bijan
7 Ghaemi, Mohammad Bagher
7 Ghiselli Ricci, Roberto
7 Jackson, Marcel G.
7 Montero, Javier
7 Mursaleen, Mohammad
7 Nelsen, Roger B.
7 Nguyen, Hung Trung
7 Pehlivan, Serpil
7 Sessa, Salvatore
7 Shen, Yonghong
7 Taylor, Michael D.
7 Weber, Siegfried
6 Baczynski, Michal
6 Bustince, Humberto
6 Cubillo, Susana
6 De Meyer, Hans E.
6 Fuller, Robert W.
6 Jacas, Joan
6 Ješić, Siniša N.
6 Karakaya, Vatan
6 Lee, Byung Soo
6 Mesiarová, Andrea
6 Petrík, Milan
...and 1,479 more Authors
all top 5

Cited in 267 Serials

489 Fuzzy Sets and Systems
82 Information Sciences
59 Journal of Mathematical Analysis and Applications
52 Fixed Point Theory and Applications
47 International Journal of Approximate Reasoning
42 Kybernetika
38 Chaos, Solitons and Fractals
36 Aequationes Mathematicae
25 Journal of Inequalities and Applications
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Abstract and Applied Analysis
20 Applied Mathematics and Mechanics. (English Edition)
18 Journal of Multivariate Analysis
17 European Journal of Operational Research
16 International Journal of General Systems
14 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
13 Statistics & Probability Letters
13 Communications in Statistics. Theory and Methods
13 Journal of Function Spaces
12 Topology and its Applications
11 Journal of Nonlinear Science and Applications
10 Computers & Mathematics with Applications
10 Acta Mathematica Hungarica
10 International Journal of Intelligent Systems
10 Soft Computing
9 Applied Mathematics and Computation
9 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
9 Fuzzy Optimization and Decision Making
8 International Journal of Mathematics and Mathematical Sciences
8 Semigroup Forum
8 Insurance Mathematics & Economics
8 Computational Statistics and Data Analysis
8 Journal of Applied Mathematics
8 Advances in Difference Equations
8 Journal of Mathematics
7 International Journal of Theoretical Physics
7 Mathematische Annalen
7 Mathematical Social Sciences
7 Applied Mathematics Letters
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
7 Iranian Journal of Fuzzy Systems
7 Dependence Modeling
6 Czechoslovak Mathematical Journal
6 Communications in Statistics. Simulation and Computation
6 Journal of Applied Mathematics and Computing
6 Journal of Intelligent and Fuzzy Systems
6 Sahand Communications in Mathematical Analysis
5 Science in China. Series A
5 Journal of Applied Non-Classical Logics
5 Journal of the Egyptian Mathematical Society
5 Journal of Fixed Point Theory and Applications
4 Artificial Intelligence
4 Journal of Algebra
4 Journal of Computational and Applied Mathematics
4 Journal of Pure and Applied Algebra
4 Kybernetes
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Acta Applicandae Mathematicae
4 Mathematical and Computer Modelling
4 International Journal of Algebra and Computation
4 Journal of Mathematical Chemistry
4 Statistical Methodology
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Bulletin of the Australian Mathematical Society
3 The Canadian Journal of Statistics
3 Communications in Algebra
3 Discrete Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Mathematica Vietnamica
3 Annals of the Institute of Statistical Mathematics
3 Biometrics
3 Demonstratio Mathematica
3 Journal of Functional Analysis
3 Journal of Mathematical Psychology
3 Mathematische Nachrichten
3 Mathematica Slovaca
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Archive for Mathematical Logic
3 Annals of Mathematics and Artificial Intelligence
3 Acta Mathematica Sinica. English Series
3 ASTIN Bulletin
3 Journal of Function Spaces and Applications
3 Applied General Topology
3 Symmetry
3 Afrika Matematika
3 Mathematical Sciences
3 Mathematics
3 Cogent Mathematics
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Discrete Mathematics
2 Information Processing Letters
2 Metrika
2 Automatica
2 Journal of Econometrics
2 Journal of Number Theory
2 Journal of Optimization Theory and Applications
...and 167 more Serials
all top 5

Cited in 48 Fields

481 Mathematical logic and foundations (03-XX)
480 General topology (54-XX)
203 Statistics (62-XX)
176 Probability theory and stochastic processes (60-XX)
170 Functional analysis (46-XX)
156 Computer science (68-XX)
154 Operator theory (47-XX)
110 Difference and functional equations (39-XX)
97 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
90 Order, lattices, ordered algebraic structures (06-XX)
90 Measure and integration (28-XX)
83 Real functions (26-XX)
54 Information and communication theory, circuits (94-XX)
47 Group theory and generalizations (20-XX)
45 Dynamical systems and ergodic theory (37-XX)
36 Sequences, series, summability (40-XX)
32 General algebraic systems (08-XX)
32 Operations research, mathematical programming (90-XX)
27 Category theory; homological algebra (18-XX)
17 Numerical analysis (65-XX)
17 Systems theory; control (93-XX)
10 Combinatorics (05-XX)
10 Associative rings and algebras (16-XX)
10 Approximations and expansions (41-XX)
10 Quantum theory (81-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
7 Number theory (11-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Ordinary differential equations (34-XX)
6 Topological groups, Lie groups (22-XX)
6 Integral equations (45-XX)
5 Biology and other natural sciences (92-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Relativity and gravitational theory (83-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year

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