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## Barankin, Edward W.

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 Author ID: barankin.edward-w Published as: Barankin, E. W.; Barankin, Edward W. External Links: MGP · Wikidata
 Documents Indexed: 40 Publications since 1942
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#### Co-Authors

 30 single-authored 3 Takahasi, Koiti 1 Arrow, Kenneth Joseph 1 Blackwell, David Harold 1 Curiel, Joaquin 1 Dorfman, Robert 1 Gurland, John 1 Katz, Melvin jun. 1 Kudō, Hirokichi 1 Kusama, Tokitake 1 Maitra, Ashok Prasad
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#### Serials

 10 Annals of the Institute of Statistical Mathematics 3 Sankhyā. Series A. Methods and Techniques 3 Tamkang Journal of Mathematics 2 Annals of the Japan Association for Philosophy of Science 2 Bulletin of the American Mathematical Society 2 Annals of Mathematical Statistics 1 American Mathematical Monthly 1 Nagoya Mathematical Journal 1 Naval Research Logistics Quarterly 1 Bulletin de l’Institut International de Statistique 1 Sankhyā 1 Skandinavisk Aktuarietidskrift
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#### Fields

 8 Operator theory (47-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 2 Biology and other natural sciences (92-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 175 times in 153 Documents Cited by Year
Admissible points of convex sets. Zbl 0050.14203
Arrow, K. J.; Barankin, E. W.; Blackwell, D.
1953
A delivery-lag inventory model with an emergency provision (The single- period case). Zbl 0126.15802
Barankin, E. W.
1961
Sufficient parameters: Solution of the minimal dimensionality problem. Zbl 0212.21502
Barankin, E. W.
1960
Locally best unbiased estimates. Zbl 0034.23002
Barankin, E. W.
1949
Barankin, E. W.; Dorfman, R.
1958
On asymptotically normal, efficient estimators. I. Zbl 0045.41001
Barankin, E. W.; Gurland, J.
1951
Toward the mathematics of a general theory of behavior. I: The lattice $${\mathcal Y}_0$$. Zbl 0247.47020
Barankin, Edward W.
1969
Toward the mathematics of a general theory of behavior. II: A characterization of flanking. Zbl 0247.47021
Barankin, Edward W.
1970
Generalization of the Fisher-Darmois-Koopman-Pitman theorem on sufficient statistics. Zbl 0122.14204
Barankin, Edward W.; Maitra, Ashok P.
1963
Specification of statistical models by sufficiency. Zbl 0446.62005
Barankin, Edward W.; Kudo, Hirokichi; Kusama, Tokitake
1980
Betweenness for real vectors and lines. I: Basic generalities. Zbl 0462.06005
Barankin, Edward W.; Takahasi, Koiti
1978
Build-up of the notion of flanking. Zbl 0453.47008
Barankin, Edward W.
1977
Towards the mathematics of a general theory of behavior. III: The flanking heredity theorem. Zbl 0247.47022
Barankin, Edward W.
1971
The explicit flanking characterization theorem. Zbl 0219.47019
Barankin, E. W.
1971
Alternate form of the flanking characterization theorem. Zbl 0217.45402
Barankin, E. W.
1970
Sufficient statistics of minimal dimension. Zbl 0099.13701
Barankin, Edward W.; Katz, Melvin jun.
1959
Toward an objectivistic theory of probability. Zbl 0070.13601
Barankin, Edward W.
1956
On systems of linear equations, with applications to linear programming and the theory of tests of statistical hypotheses. Zbl 0045.29802
Barankin, Edward W.
1951
Extension of the Romanovsky-Bartlett-Scheffe test. Zbl 0039.14701
Barankin, Edward W.
1949
Bounds for the characteristic roots of a matrix. Zbl 0061.01507
Barankin, Edward W.
1945
Enlarged mathematical representations for stochastic phenomena. Zbl 0446.60004
Barankin, Edward W.
1980
A theoretical account of an empirical fact in psychology. Zbl 0421.92025
Barankin, Edward W.
1979
Betweenness for real vectors and lines. II: Relatedness of betweennesses. Zbl 0462.06006
Barankin, Edward W.; Takahasi, Koiti
1978
Properties of flanking, beflanking and enflanking. Zbl 0317.47013
Barankin, Edward W.; Curiel, Joaquin
1972
Orthocomplements in flanking. Zbl 0239.47020
Barankin, Edward W.
1971
Toward a general mathematical theory of behavior. Zbl 0232.92001
Barankin, Edward W.
1971
Application to exponential families of the solution of the minimal dimensionality problem for sufficient statistics. Zbl 0114.11204
Barankin, E. W.
1961
Bounds on characteristic values. Zbl 0032.21101
Barankin, Edward W.
1948
Specification of statistical models by sufficiency. Zbl 0446.62005
Barankin, Edward W.; Kudo, Hirokichi; Kusama, Tokitake
1980
Enlarged mathematical representations for stochastic phenomena. Zbl 0446.60004
Barankin, Edward W.
1980
A theoretical account of an empirical fact in psychology. Zbl 0421.92025
Barankin, Edward W.
1979
Betweenness for real vectors and lines. I: Basic generalities. Zbl 0462.06005
Barankin, Edward W.; Takahasi, Koiti
1978
Betweenness for real vectors and lines. II: Relatedness of betweennesses. Zbl 0462.06006
Barankin, Edward W.; Takahasi, Koiti
1978
Build-up of the notion of flanking. Zbl 0453.47008
Barankin, Edward W.
1977
Properties of flanking, beflanking and enflanking. Zbl 0317.47013
Barankin, Edward W.; Curiel, Joaquin
1972
Towards the mathematics of a general theory of behavior. III: The flanking heredity theorem. Zbl 0247.47022
Barankin, Edward W.
1971
The explicit flanking characterization theorem. Zbl 0219.47019
Barankin, E. W.
1971
Orthocomplements in flanking. Zbl 0239.47020
Barankin, Edward W.
1971
Toward a general mathematical theory of behavior. Zbl 0232.92001
Barankin, Edward W.
1971
Toward the mathematics of a general theory of behavior. II: A characterization of flanking. Zbl 0247.47021
Barankin, Edward W.
1970
Alternate form of the flanking characterization theorem. Zbl 0217.45402
Barankin, E. W.
1970
Toward the mathematics of a general theory of behavior. I: The lattice $${\mathcal Y}_0$$. Zbl 0247.47020
Barankin, Edward W.
1969
Generalization of the Fisher-Darmois-Koopman-Pitman theorem on sufficient statistics. Zbl 0122.14204
Barankin, Edward W.; Maitra, Ashok P.
1963
A delivery-lag inventory model with an emergency provision (The single- period case). Zbl 0126.15802
Barankin, E. W.
1961
Application to exponential families of the solution of the minimal dimensionality problem for sufficient statistics. Zbl 0114.11204
Barankin, E. W.
1961
Sufficient parameters: Solution of the minimal dimensionality problem. Zbl 0212.21502
Barankin, E. W.
1960
Sufficient statistics of minimal dimension. Zbl 0099.13701
Barankin, Edward W.; Katz, Melvin jun.
1959
Barankin, E. W.; Dorfman, R.
1958
Toward an objectivistic theory of probability. Zbl 0070.13601
Barankin, Edward W.
1956
Admissible points of convex sets. Zbl 0050.14203
Arrow, K. J.; Barankin, E. W.; Blackwell, D.
1953
On asymptotically normal, efficient estimators. I. Zbl 0045.41001
Barankin, E. W.; Gurland, J.
1951
On systems of linear equations, with applications to linear programming and the theory of tests of statistical hypotheses. Zbl 0045.29802
Barankin, Edward W.
1951
Locally best unbiased estimates. Zbl 0034.23002
Barankin, E. W.
1949
Extension of the Romanovsky-Bartlett-Scheffe test. Zbl 0039.14701
Barankin, Edward W.
1949
Bounds on characteristic values. Zbl 0032.21101
Barankin, Edward W.
1948
Bounds for the characteristic roots of a matrix. Zbl 0061.01507
Barankin, Edward W.
1945
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#### Cited by 218 Authors

 12 Barankin, Edward W. 4 Benson, Harold P. 4 Fliege, Jörg 3 Henig, Mordechai I. 3 Peleg, Bezalel 3 Takahasi, Koiti 3 Yang, Xiaoqi 3 Zheng, Xiyin 2 Billera, Louis J. 2 Bixby, Robert E. 2 Chiang, Chi 2 Chichilnisky, Graciela 2 Coladas Uria, Luis 2 Ghose, Debasish 2 Gurland, John 2 Gustafson, Paul 2 Jang, Wooseung 2 Kalman, Peter J. 2 Lodree, Emmett J. jun. 2 Mouchart, Michel 2 Naccache, P. H. 2 Nieuwenhuis, J. W. 2 Prasad, U. R. 2 Rao, Malempati M. 2 Zheng, Xi Yin 1 Ahmed, Mostak 1 Akahira, Masafumi 1 Almeida, Carlos A. S. 1 Atkins, Derek R. 1 Axsäter, Sven 1 Balbás, Alejandro 1 Ballvé, Maria E. 1 Bandyopadhyay, Dipankar 1 Bao, Jie 1 Baumann, Volker 1 Bednarczuk, Ewa M. 1 Bennett, Bruce M. 1 Bentler, Peter M. 1 Berger, James Orvis 1 Berkaoui, Abdelkarem 1 Bidanda, Bopaya 1 Bitran, Gabriel R. 1 Bourass, Abdelhamid 1 Bueno, Luís Felipe 1 Carlier, Guillaume 1 Carter, Michael W. 1 Castro, Luis Mauricio 1 Çetinkaya, Sıla 1 Chalmet, Luc G. 1 Chankong, Vira 1 Chao, Xiuli 1 Chapman, Douglas G. 1 Chen, Evan E. 1 Chen, Guanyan 1 Chen, Jian 1 Chen, Xin 1 Chew, Ken-Loong 1 Choo, Eng Ung 1 Curiel, Joaquin 1 Dana, Rose-Anne 1 DasGupta, Anirban 1 Dauer, Jerald P. 1 Davison, Matthew 1 Dhakar, Tej Singh 1 Dhawan, Aayush 1 Diaconis, Persi Warren 1 Dmitruk, Andrei V. 1 Dohi, Tadashi 1 Dong, Chuanwen 1 Dou, Yifan 1 Dovonon, Prosper 1 Durier, Roland 1 Eganyan, G. K. 1 Eisenberg, Estrella 1 Evans, John P. 1 Evren, Özgür 1 Fang, Yaping 1 Färe, Rolf 1 Feinberg, Eugene Aleksandrovich 1 Fels, E. M. 1 Ferro, Francesco 1 Ferschl, Franz 1 Florens, Jean-Pierre 1 Fosnaugh, Timothy A. 1 Francis, Richard L. 1 Frehse, Jens 1 Fu, Wantao 1 Gallego, Guillermo M. 1 Gao, Xiangyu 1 Geoffrion, Arthur M. 1 Ghose, Dillip Kumar 1 Ghosh, Mrinal Kanti 1 Goodrich, Robert Kent 1 Greeno, James G. 1 Gupta, Ramesh Chandra 1 Gutierrez, Genaro J. 1 Haeser, Gabriel 1 Haimes, Yacov Y. 1 Hall, Alastair R. 1 He, Qinghai ...and 118 more Authors
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#### Cited in 61 Serials

 27 Journal of Optimization Theory and Applications 17 Annals of the Institute of Statistical Mathematics 12 European Journal of Operational Research 8 Journal of Mathematical Analysis and Applications 5 Journal of Global Optimization 4 Journal of Economic Theory 4 Trabajos de Estadistica y de Investigacion Operativa 4 Bulletin of the American Mathematical Society 3 Psychometrika 3 Proceedings of the American Mathematical Society 3 Operations Research Letters 2 Metrika 2 Journal of Econometrics 2 Mathematical Programming 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Statistics & Probability Letters 2 International Journal of Production Research 2 Statistics 2 Statistical Science 2 Computers & Operations Research 2 Unternehmensforschung 2 Electronic Journal of Statistics 2 Sankhyā. Series A 1 Discrete Applied Mathematics 1 Acta Mathematica Vietnamica 1 Automatica 1 Journal of Mathematical Economics 1 Journal of Mathematical Psychology 1 Journal of Multivariate Analysis 1 Kybernetika 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Meccanica 1 Nagoya Mathematical Journal 1 Naval Research Logistics 1 Operations Research 1 Siberian Mathematical Journal 1 Statistica Neerlandica 1 Optimal Control Applications & Methods 1 Optimization 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 The Annals of Applied Probability 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Communications in Statistics. Theory and Methods 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Abstract and Applied Analysis 1 Probability in the Engineering and Informational Sciences 1 International Game Theory Review 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Management Science 1 Naval Research Logistics Quarterly 1 Proceedings of the Japan Academy 1 Optimization Letters 1 Journal of the Italian Statistical Society 1 Set-Valued and Variational Analysis 1 Journal of Agricultural, Biological, and Environmental Statistics
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#### Cited in 18 Fields

 79 Operations research, mathematical programming (90-XX) 28 Statistics (62-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Geometry (51-XX) 3 Systems theory; control (93-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

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