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## Wijsman, Robert A.

Compute Distance To:
 Author ID: wijsman.robert-a Published as: Wijsman, R. A.; Wijsman, Robert A.
 Documents Indexed: 42 Publications since 1957, including 1 Book Reviewing Activity: 36 Reviews

#### Co-Authors

 38 single-authored 2 Ghosh, Jayanta Kumar 2 Hall, William Jackson (Jack) 1 Burkholder, Donald L. 1 Lai, Tze Leung
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#### Serials

 13 Annals of Mathematical Statistics 8 The Annals of Statistics 2 Sequential Analysis 1 The Annals of Probability 1 Journal of the American Statistical Association 1 Journal of Multivariate Analysis 1 Proceedings of the American Mathematical Society 1 Sankhyā. Series A. Methods and Techniques 1 Transactions of the American Mathematical Society 1 Communications in Statistics. Sequential Analysis 1 Computational Statistics and Data Analysis 1 Bulletin of the American Mathematical Society 1 Institute of Mathematical Statistics Lecture Notes - Monograph Series
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#### Fields

 29 Statistics (62-XX) 4 Probability theory and stochastic processes (60-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

31 Publications have been cited 344 times in 270 Documents Cited by Year
Convergence of sequences of convex sets, cones and functions. II. Zbl 0146.18204
Wijsman, R. A.
1966
Convergence of sequences of convex sets, cones and functions. Zbl 0121.39001
Wijsman, R. A.
1964
The relationship between sufficiency and invariance with applications in sequential analysis. Zbl 0227.62007
Hall, W. J.; Wijsman, R. A.; Ghosh, J. K.
1965
Cross-sections of orbits and their application to densities of maximal variants. Zbl 0189.18604
Wijsman, R. A.
1967
Invariant measures on groups and their use in statistics. Zbl 0803.62001
Wijsman, Robert A.
1990
On the attainment of the Cramer-Rao lower bound. Zbl 0258.62016
Wijsman, R. A.
1973
Optimum properties and admissibility of sequential tests. Zbl 0113.13005
Burkholder, D. L.; Wijsman, R. A.
1963
Random orthogonal transformations and their use in some classical distribution problems in multivariate analysis. Zbl 0080.35601
Wijsman, Robert A.
1957
A useful inequality on ratios of integrals, with application to maximum likelihood estimation. Zbl 0578.62032
Wijsman, Robert A.
1985
Sequential estimation- and test-oriented confidence intervals for $$\mu$$ /$$\sigma$$ in a normal population. Zbl 0589.62063
Wijsman, Robert A.
1983
Constructing all smallest simultaneous confidence sets in a given class, with applications to MANOVA. Zbl 0416.62030
Wijsman, Robert A.
1979
Global cross sections as a tool for factorization of measures and distribution of maximal invariants. Zbl 0618.62006
Wijsman, Robert A.
1986
First exit time of a random walk from the bounds $$f(n)\pm cg(n)$$, with applications. Zbl 0413.60043
Lai, T. L.; Wijsman, R. A.
1979
Existence, uniqueness and monotonicity of sequential probability ratio tests. Zbl 0212.21101
Wijsman, R. A.
1963
On the theory of BAN estimates. Zbl 0089.14701
Wijsman, Robert A.
1959
Incomplete sufficient statistics and similar tests. Zbl 0089.14602
Wijsman, Robert A.
1958
Overshoot in the case of normal variables. Zbl 1146.62311
Wijsman, Robert A.
2004
Proper action in steps, with application to density ratios of maximal invariants. Zbl 0567.62003
Wijsman, Robert A.
1985
Sequential confidence sets: Estimation-oriented versus test-oriented construction. Zbl 0598.62101
Wijsman, R. A.
1982
A general theorem with applications on exponentially bounded stopping time, without moment conditions. Zbl 0368.62065
Wijsman, R. A.
1977
Applications of a certain representation of the Wishart matrix. Zbl 0090.11403
Wijsman, Robert A.
1959
Direct computation of the performance of sequential procedures based on a sequence of t-statistics, with application to a confidence interval for $$\mu{}/\sigma$$ in a normal population. Zbl 0746.62081
Wijsman, Robert A.
1992
Sequential confidence intervals with beta protection in one-parameter families. Zbl 0679.62063
Wijsman, Robert A.
1986
Exponentially bounded stopping time of sequential probability ratio tests for composite hypotheses. Zbl 0229.62038
Wijsman, R. A.
1971
Bounds on the sample size distribution for a class of invariant sequential probability ratio tests. Zbl 0162.50403
Wijsman, R. A.
1968
A monotonicity property of the sequential probability ratio test. Zbl 0116.10802
Wijsman, R. A.
1960
Monotonicity in the noncentrality parameter of the ratio of two noncentral t-densities. Zbl 0515.62025
Wijsman, Robert A.
1983
Smallest simultaneous confidence sets with applications in multivariate analysis. Zbl 0431.62031
Wijsman, Robert A.
1980
Exponentially bounded stopping time of the sequential t-test. Zbl 0313.62062
Wijsman, R. A.
1975
A theorem on obstructive distributions. Zbl 0247.62027
Wijsman, R. A.
1972
General proof of termination with probability one of invariant sequential probability ratio tests based on multivariate normal observations. Zbl 0148.13901
Wijsman, R. A.
1967
Overshoot in the case of normal variables. Zbl 1146.62311
Wijsman, Robert A.
2004
Direct computation of the performance of sequential procedures based on a sequence of t-statistics, with application to a confidence interval for $$\mu{}/\sigma$$ in a normal population. Zbl 0746.62081
Wijsman, Robert A.
1992
Invariant measures on groups and their use in statistics. Zbl 0803.62001
Wijsman, Robert A.
1990
Global cross sections as a tool for factorization of measures and distribution of maximal invariants. Zbl 0618.62006
Wijsman, Robert A.
1986
Sequential confidence intervals with beta protection in one-parameter families. Zbl 0679.62063
Wijsman, Robert A.
1986
A useful inequality on ratios of integrals, with application to maximum likelihood estimation. Zbl 0578.62032
Wijsman, Robert A.
1985
Proper action in steps, with application to density ratios of maximal invariants. Zbl 0567.62003
Wijsman, Robert A.
1985
Sequential estimation- and test-oriented confidence intervals for $$\mu$$ /$$\sigma$$ in a normal population. Zbl 0589.62063
Wijsman, Robert A.
1983
Monotonicity in the noncentrality parameter of the ratio of two noncentral t-densities. Zbl 0515.62025
Wijsman, Robert A.
1983
Sequential confidence sets: Estimation-oriented versus test-oriented construction. Zbl 0598.62101
Wijsman, R. A.
1982
Smallest simultaneous confidence sets with applications in multivariate analysis. Zbl 0431.62031
Wijsman, Robert A.
1980
Constructing all smallest simultaneous confidence sets in a given class, with applications to MANOVA. Zbl 0416.62030
Wijsman, Robert A.
1979
First exit time of a random walk from the bounds $$f(n)\pm cg(n)$$, with applications. Zbl 0413.60043
Lai, T. L.; Wijsman, R. A.
1979
A general theorem with applications on exponentially bounded stopping time, without moment conditions. Zbl 0368.62065
Wijsman, R. A.
1977
Exponentially bounded stopping time of the sequential t-test. Zbl 0313.62062
Wijsman, R. A.
1975
On the attainment of the Cramer-Rao lower bound. Zbl 0258.62016
Wijsman, R. A.
1973
A theorem on obstructive distributions. Zbl 0247.62027
Wijsman, R. A.
1972
Exponentially bounded stopping time of sequential probability ratio tests for composite hypotheses. Zbl 0229.62038
Wijsman, R. A.
1971
Bounds on the sample size distribution for a class of invariant sequential probability ratio tests. Zbl 0162.50403
Wijsman, R. A.
1968
Cross-sections of orbits and their application to densities of maximal variants. Zbl 0189.18604
Wijsman, R. A.
1967
General proof of termination with probability one of invariant sequential probability ratio tests based on multivariate normal observations. Zbl 0148.13901
Wijsman, R. A.
1967
Convergence of sequences of convex sets, cones and functions. II. Zbl 0146.18204
Wijsman, R. A.
1966
The relationship between sufficiency and invariance with applications in sequential analysis. Zbl 0227.62007
Hall, W. J.; Wijsman, R. A.; Ghosh, J. K.
1965
Convergence of sequences of convex sets, cones and functions. Zbl 0121.39001
Wijsman, R. A.
1964
Optimum properties and admissibility of sequential tests. Zbl 0113.13005
Burkholder, D. L.; Wijsman, R. A.
1963
Existence, uniqueness and monotonicity of sequential probability ratio tests. Zbl 0212.21101
Wijsman, R. A.
1963
A monotonicity property of the sequential probability ratio test. Zbl 0116.10802
Wijsman, R. A.
1960
On the theory of BAN estimates. Zbl 0089.14701
Wijsman, Robert A.
1959
Applications of a certain representation of the Wishart matrix. Zbl 0090.11403
Wijsman, Robert A.
1959
Incomplete sufficient statistics and similar tests. Zbl 0089.14602
Wijsman, Robert A.
1958
Random orthogonal transformations and their use in some classical distribution problems in multivariate analysis. Zbl 0080.35601
Wijsman, Robert A.
1957
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#### Cited by 321 Authors

 25 Beer, Gerald Alan 6 Kariya, Takeaki 5 Hess, Christian 5 Holá, Ľubica 5 Nogales, Agustín G. 5 Oyola, José A. 5 Roberto, Lucchetti E. 4 Attouch, Hedy 4 Borwein, Jonathan Michael 4 Dündar, Erdinç 4 Ghosh, Jayanta Kumar 4 Giri, Narayan C. 4 Nuray, Fatih 4 Pérez, Paloma 4 Rockafellar, Ralph Tyrrell 4 Ulusu, Uǧur 4 Zălinescu, Constantin 3 Cao, Jiling 3 Eaton, Morris L. 3 Gelfert, Katrin Grit 3 Helland, Inge Svein 3 Kışı, Ömer 3 Lechicki, Alojzy 3 Levi, Sandro 3 Montanero, Jesús 3 Phan Quôc Khánh 3 Rams, Michał 3 Sen, Pranab Kumar 3 Sinha, Bimal Kumar 3 Sonntag, Yves 3 Wets, Roger Jean-Baptiste 2 Azé, Dominique 2 Bačák, Miroslav 2 Bemis, Kerry G. 2 Benson, Harold P. 2 Bhapkar, Vasant P. 2 Chang, Yuan-chin Ivan 2 Chen, Lee-Shen 2 Diem, Huynh Thi Hong 2 Dolecki, Szymon 2 Durairajan, T. M. 2 Fakhre-Zakeri, Issa 2 Ferentinos, Kosmas 2 Florens, Jean-Pierre 2 Gülle, Esra 2 Hazarika, Bipan 2 Hooper, Peter M. 2 Ibarrola, Pilar 2 Junnila, Heikki J. K. 2 Kamiya, Hidehiko 2 Krishnaiah, Paruchuri Rama 2 Kubokawa, Tatsuya 2 Liang, TaChen 2 Marchand, Eric 2 Mathew, Thomas 2 McLinden, Lynn 2 Mentagui, Driss 2 Mukhopadhyay, Nitis 2 Novikov, Andreĭ Alekseevich 2 Penot, Jean-Paul 2 Raman, K. J. 2 Rodríguez-López, Jesús 2 Romaguera Bonilla, Salvador 2 Rukhin, Andrew L. 2 SenGupta, Ashis 2 Siegrist, Kyle T. 2 Takada, Yoshikazu 2 Takemura, Akimichi 2 Tanaka, Hidekazu 2 Vélez, Ricardo 2 Wijsman, Robert A. 2 Xu, Jianlun 2 Yang, Ming-Chung 2 Ziętak, Krystyna 2 Zsilinszky, László 1 Abrams, Aaron 1 Ahmad, Manzoor 1 Airoldi, Edoardo M. 1 Akin, Nimet Pancaroglu 1 Albrecher, Hansjörg 1 Albrecht, Peter 1 Alexander, T. Leo 1 Angulo, Jesús 1 Apreutesei, Gabriela 1 Aragone, Laura S. 1 Arghami, Nasser Reza 1 Arnold, Steven F. 1 Aryal, Subhash 1 Asadi, Peiman 1 Asoo, Y. H. 1 Attia, Najmeddine 1 Aytar, Salih 1 Back, Kerry E. 1 Barral, Julien 1 Bashir, Zia 1 Basu, Debabrata 1 Bergstrom, Roy C. 1 Berk, Robert H. 1 Bernshtejn, A. V. 1 Bhardwaj, Vinod Kumar ...and 221 more Authors
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#### Cited in 89 Serials

 21 Journal of Statistical Planning and Inference 19 Annals of the Institute of Statistical Mathematics 18 Journal of Multivariate Analysis 14 Sequential Analysis 13 Transactions of the American Mathematical Society 12 Journal of Mathematical Analysis and Applications 12 Proceedings of the American Mathematical Society 9 Communications in Statistics. Theory and Methods 9 Set-Valued Analysis 8 The Annals of Statistics 8 Statistics & Probability Letters 6 Journal of Statistical Computation and Simulation 5 Journal of Optimization Theory and Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Approximation Theory 4 Topology and its Applications 3 Bulletin of the Australian Mathematical Society 3 The Canadian Journal of Statistics 3 Metrika 3 Archiv der Mathematik 3 Fuzzy Sets and Systems 3 Statistics 3 Journal of Theoretical Probability 3 Statistical Papers 3 Vietnam Journal of Mathematics 3 Set-Valued and Variational Analysis 2 Communications in Mathematical Physics 2 Journal of Soviet Mathematics 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Linear Algebra and its Applications 2 Acta Mathematica Sinica. New Series 2 Test 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Psychometrika 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Journal of Applied Probability 1 Journal of Economic Theory 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Statistica Neerlandica 1 Ergodic Theory and Dynamical Systems 1 Insurance Mathematics & Economics 1 Journal of Time Series Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Mathematical Programming. Series A. Series B 1 Tatra Mountains Mathematical Publications 1 Mathematical Methods of Statistics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Bernoulli 1 Abstract and Applied Analysis 1 Honam Mathematical Journal 1 Soft Computing 1 Methodology and Computing in Applied Probability 1 Entropy 1 Journal of Function Spaces and Applications 1 Iranian Journal of Fuzzy Systems 1 Electronic Journal of Statistics 1 SIAM Journal on Imaging Sciences 1 Journal of Probability and Statistics 1 ISRN Mathematical Analysis 1 Palestine Journal of Mathematics 1 International Journal of Analysis and Applications 1 Journal of Statistical Distributions and Applications
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#### Cited in 33 Fields

 130 Statistics (62-XX) 60 General topology (54-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 30 Probability theory and stochastic processes (60-XX) 27 Functional analysis (46-XX) 19 Operations research, mathematical programming (90-XX) 18 Sequences, series, summability (40-XX) 14 Real functions (26-XX) 13 Numerical analysis (65-XX) 12 Measure and integration (28-XX) 12 Convex and discrete geometry (52-XX) 7 Approximations and expansions (41-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)