# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 73 Publications since 1957 Biographic References: 1 Publication
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#### Co-Authors

 31 single-authored 5 Shinozaki, Nobuo 5 Takahashi, Rinya 5 Yamato, Hajime 5 Yanagimoto, Takemi 4 Nishimura, Kazuo 3 Shimizu, Ryoichi 2 Baba, Kunihiro 2 Miyawaki, Norihiko 2 Sumita, Ushio 2 Tanabe, Kunio 1 Haga, Toshiro 1 Higuti, Isao 1 Itoh, Yoshiaki 1 Kawarasaki, J. 1 Morimoto, Haruki 1 Nomachi, Toshifumi 1 Ohsumi, Noboru 1 Onoyama, Takuji 1 Segers, Johan 1 Shibata, Ritei 1 Shibata, Yoshisada 1 Suzuki, Kazuyuki 1 Tanaka, Hiroshi L. 1 Toda, Hideo 1 Tsukahara, Hideatsu 1 Yoshimura, Isao
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#### Serials

 32 Annals of the Institute of Statistical Mathematics 5 Sankhyā. Series A. Methods and Techniques 3 Statistics & Probability Letters 2 Keio Mathematical Seminar Reports 2 Proceedings of the Institute of Statistical Mathematics 2 TRU Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Linear Algebra and its Applications 2 RIMS Kokyuroku 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 Journal of the Japan Statistical Society 1 Bulletin of Informatics and Cybernetics 1 Journal of Cryptology 1 Communications in Statistics. Theory and Methods 1 Statistica Sinica 1 Keio Science and Technology Reports 1 Australian & New Zealand Journal of Statistics 1 Extremes 1 Applied Stochastic Models in Business and Industry
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#### Fields

 32 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 1 Special functions (33-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 491 times in 417 Documents Cited by Year
Bivariate extreme statistics. I. Zbl 0095.33703
1960
Generalized hypergeometric, digamma and trigamma distributions. Zbl 0448.62008
1979
Negative multinomial distribution. Zbl 0146.39303
Sibuya, Masaaki; Yoshimura, Isao; Shimizu, Ryoichi
1964
Partial correlation and conditional correlation as measures of conditional independence. Zbl 1061.62086
Baba, Kunihiro; Shibata, Ritei; Sibuya, Masaaki
2004
The reverse order law $$(AB)^-$$ = $$B^-A^-$$. Zbl 0293.15006
1974
Consistency of a pair of matrix equations with an application. Zbl 0409.15010
1974
A random clustering process. Zbl 0802.60010
1993
Further results on the reverse-order law. Zbl 0414.15006
1979
A method for generating uniformly distributed points on $$N$$-dimensional spheres. Zbl 0112.11203
1962
Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods. Zbl 0315.65027
Shihozaki, Nobuo; Sibuya, Masaaki; Tanabe, Kunio
1972
Log-concavity of Stirling numbers and unimodality of Stirling distributions. Zbl 0676.60022
1988
Random sequential bisection and its associated binary tree. Zbl 0622.60020
1987
Stochastically larger component of a random vector. Zbl 0347.62022
1972
The empirical beta copula. Zbl 1360.62237
Segers, Johan; Sibuya, Masaaki; Tsukahara, Hideatsu
2017
Ordered and unordered random partitions of an integer and the GEM distribution. Zbl 0843.60011
1995
Moments of some statistics of Pitman sampling formula. Zbl 1039.60007
2000
The generalized hypergeometric family of distributions. Zbl 0474.62021
1981
Test of symmetry of a one-dimensional distribution against positive biasedness. Zbl 0347.62023
1972
Ordered sample from two-parameter GEM distribution. Zbl 1003.62008
Yamato, Hajime; Sibuya, Masaaki; Nomachi, Toshifumi
2001
Occupancy with two types of balls. Zbl 0673.60011
1988
Isotonic tests for spread and tail. Zbl 0372.62027
1976
Subclasses of generalized inverses of matrices. Zbl 0233.15005
1970
The maximum size of the planar sections of random spheres and its application to metallurgy. Zbl 0864.60010
1996
Classification of the generalized hypergeometric family of distributions. Zbl 0478.62015
1981
Numerical algorithms for the Moore-Penrose inverse of a matrix: iterative methods. Zbl 0314.65016
Shinozaki, Nobuo; Sibuya, Masaaki; Tanabe, Kunio
1972
On exponential and other random variable generators. Zbl 0124.34603
1962
Prediction of the maximum size in Wicksell’s corpuscle problem. Zbl 0986.62075
1998
Random partition of a finite set by cycles of permutation. Zbl 0781.60012
1993
Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on $$[0, n]$$. Zbl 0764.60022
1991
Probability to meet in the middle. Zbl 0701.94005
1990
Test of symmetry of a bivariate distribution. Zbl 0397.62028
1976
Maximum size prediction in Wicksell’s corpuscle problem for the exponential tail data. Zbl 1037.62098
2002
Metal fatigue, Wicksell transform and extreme values. Zbl 1010.62113
2002
Prediction of the maximum size in Wicksell’s corpuscle problem. II. Zbl 1078.62525
2001
Comparison of tails of distributions in models for estimating safe doses. Zbl 0455.62084
1980
Equivalence of partial and conditional correlation coefficients. Zbl 1070.62037
2005
Characterization of some random partitions. Zbl 0853.60005
1995
Aspects of Lagrangian probability distributions. Zbl 0805.60012
Sibuya, Masaaki; Miyawaki, Norihiko; Sumita, Ushio
1994
Sufficient statistics and unbiased estimation of restricted selection parameters. Zbl 0183.21002
1967
Randomized unbiased estimation of restricted parameters. Zbl 0223.62035
1963
Further consideration on normal variable generator. Zbl 0124.34602
1962
Pitman’s model of random partitions. Zbl 0991.60503
2001
Extended Stirling family of discrete probability distributions. Zbl 0954.62514
1997
Prediction of record-breakings. Zbl 1002.60535
1997
Sharp Bonferroni-type inequalities in explicit forms. Zbl 0789.60017
1992
Limit distribution of the minimum distance between independent and identically distributed d-dimensional random variables. Zbl 0547.60032
Onoyama, Takuji; Sibuya, Masaaki; Tanaka, Hiroshi
1984
A comparison of discrete distributions. Zbl 0463.62019
1980
Multivariate digamma distribution. Zbl 0455.62013
1980
Generalized inverses of matrices. I. Zbl 0224.15004
1970
Tables of the probability density function of range in normal samples. Zbl 0083.15201
1957
The empirical beta copula. Zbl 1360.62237
Segers, Johan; Sibuya, Masaaki; Tsukahara, Hideatsu
2017
Equivalence of partial and conditional correlation coefficients. Zbl 1070.62037
2005
Partial correlation and conditional correlation as measures of conditional independence. Zbl 1061.62086
Baba, Kunihiro; Shibata, Ritei; Sibuya, Masaaki
2004
Maximum size prediction in Wicksell’s corpuscle problem for the exponential tail data. Zbl 1037.62098
2002
Metal fatigue, Wicksell transform and extreme values. Zbl 1010.62113
2002
Ordered sample from two-parameter GEM distribution. Zbl 1003.62008
Yamato, Hajime; Sibuya, Masaaki; Nomachi, Toshifumi
2001
Prediction of the maximum size in Wicksell’s corpuscle problem. II. Zbl 1078.62525
2001
Pitman’s model of random partitions. Zbl 0991.60503
2001
Moments of some statistics of Pitman sampling formula. Zbl 1039.60007
2000
Prediction of the maximum size in Wicksell’s corpuscle problem. Zbl 0986.62075
1998
Extended Stirling family of discrete probability distributions. Zbl 0954.62514
1997
Prediction of record-breakings. Zbl 1002.60535
1997
The maximum size of the planar sections of random spheres and its application to metallurgy. Zbl 0864.60010
1996
Ordered and unordered random partitions of an integer and the GEM distribution. Zbl 0843.60011
1995
Characterization of some random partitions. Zbl 0853.60005
1995
Aspects of Lagrangian probability distributions. Zbl 0805.60012
Sibuya, Masaaki; Miyawaki, Norihiko; Sumita, Ushio
1994
A random clustering process. Zbl 0802.60010
1993
Random partition of a finite set by cycles of permutation. Zbl 0781.60012
1993
Sharp Bonferroni-type inequalities in explicit forms. Zbl 0789.60017
1992
Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on $$[0, n]$$. Zbl 0764.60022
1991
Probability to meet in the middle. Zbl 0701.94005
1990
Log-concavity of Stirling numbers and unimodality of Stirling distributions. Zbl 0676.60022
1988
Occupancy with two types of balls. Zbl 0673.60011
1988
Random sequential bisection and its associated binary tree. Zbl 0622.60020
1987
Limit distribution of the minimum distance between independent and identically distributed d-dimensional random variables. Zbl 0547.60032
Onoyama, Takuji; Sibuya, Masaaki; Tanaka, Hiroshi
1984
The generalized hypergeometric family of distributions. Zbl 0474.62021
1981
Classification of the generalized hypergeometric family of distributions. Zbl 0478.62015
1981
Comparison of tails of distributions in models for estimating safe doses. Zbl 0455.62084
1980
A comparison of discrete distributions. Zbl 0463.62019
1980
Multivariate digamma distribution. Zbl 0455.62013
1980
Generalized hypergeometric, digamma and trigamma distributions. Zbl 0448.62008
1979
Further results on the reverse-order law. Zbl 0414.15006
1979
Isotonic tests for spread and tail. Zbl 0372.62027
1976
Test of symmetry of a bivariate distribution. Zbl 0397.62028
1976
The reverse order law $$(AB)^-$$ = $$B^-A^-$$. Zbl 0293.15006
1974
Consistency of a pair of matrix equations with an application. Zbl 0409.15010
1974
Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods. Zbl 0315.65027
Shihozaki, Nobuo; Sibuya, Masaaki; Tanabe, Kunio
1972
Stochastically larger component of a random vector. Zbl 0347.62022
1972
Test of symmetry of a one-dimensional distribution against positive biasedness. Zbl 0347.62023
1972
Numerical algorithms for the Moore-Penrose inverse of a matrix: iterative methods. Zbl 0314.65016
Shinozaki, Nobuo; Sibuya, Masaaki; Tanabe, Kunio
1972
Subclasses of generalized inverses of matrices. Zbl 0233.15005
1970
Generalized inverses of matrices. I. Zbl 0224.15004
1970
Sufficient statistics and unbiased estimation of restricted selection parameters. Zbl 0183.21002
1967
Negative multinomial distribution. Zbl 0146.39303
Sibuya, Masaaki; Yoshimura, Isao; Shimizu, Ryoichi
1964
Randomized unbiased estimation of restricted parameters. Zbl 0223.62035
1963
A method for generating uniformly distributed points on $$N$$-dimensional spheres. Zbl 0112.11203
1962
On exponential and other random variable generators. Zbl 0124.34603
1962
Further consideration on normal variable generator. Zbl 0124.34602
1962
Bivariate extreme statistics. I. Zbl 0095.33703
1960
Tables of the probability density function of range in normal samples. Zbl 0083.15201
1957
all top 5

#### Cited by 601 Authors

 24 Sibuya, Masaaki 10 Ferreira, Helena 10 Huillet, Thierry E. 8 Ferreira, Marta 8 Hashorva, Enkelejd 8 Zhang, Zhengjun 6 Yamato, Hajime 5 Angstmann, Christopher N. 5 Henry, Bruce I. 5 Kolev, Nikolai 5 Nolde, Natalia 5 Peng, Liang 5 Peng, Zuoxiang 5 Stanimirović, Predrag S. 5 Yanagimoto, Takemi 4 Falk, Michael 4 Genest, Christian 4 Hartwig, Robert E. 4 Hürlimann, Werner 4 Joe, Harry 4 Mahmoud, Hosam M. 4 Resnick, Sidney Ira 4 Schlather, Martin 4 Schmidt, Rafael 4 Wang, Qingwen 4 Wei, Musheng 4 Xiong, Zhiping 3 Antzoulakos, Demetrios L. 3 Bacro, Jean-Noël 3 de Haan, Laurens 3 Deheuvels, Paul 3 Devroye, Luc P. J. A. 3 El Barmi, Hammou 3 Fougères, Anne-Laure 3 Hlubinka, Daniel 3 Hoshino, Nobuaki 3 Kabluchko, Zakhar A. 3 Ledford, Anthony W. 3 Liao, Xin 3 Martins, Ana Paula 3 Nichols, James A. 3 Paterlini, Sandra 3 Petković, Marko D. 3 Philippou, Andreas N. 3 Ramos, Alexandra 3 Rojo, Javier 3 Shinozaki, Nobuo 3 Tasić, Milan B. 3 Tawn, Jonathan A. 3 Tian, Yongge 2 Akahira, Masafumi 2 Arnold, Barry Charles 2 Asimit, Alexandru V. 2 Bai, Do Sun 2 Balakrishnan, Narayanaswamy 2 Balkema, Guus 2 Barabesi, Lucio 2 Bhattacharya, Bhaskar 2 Ćmiel, Bogdan 2 Costa, Lilia 2 Cvetković-Ilić, Dragana S. 2 Czado, Claudia 2 Das, Bikramjit 2 Davis, Richard A. 2 Di Bernardino, Elena 2 Di matteo, Tiziana 2 Donnelly, I. C. 2 Dupuis, Debbie J. 2 Durante, Fabrizio 2 Embrechts, Paul 2 Fernández-Sánchez, Juan 2 Ferreira, Helena Maria Simões 2 Figueiredo, Adelaide Maria Sousa 2 Frick, Melanie 2 Gaetan, Carlo 2 Genton, Marc G. 2 Ghoudi, Kilani 2 Giacometti, Rosella 2 Goncalves, Branda 2 Guo, Wenbin 2 Hou, Yanxi 2 Huang, Na 2 Itoh, Yoshiaki 2 Jacobs, Byron A. 2 Jowaheer, Vandna 2 Kim, Seongin 2 Klüppelberg, Claudia 2 Kochar, Subhash C. 2 Kozubowski, Tomasz J. 2 Latif, Sumaia A. 2 Ledwina, Teresa 2 Lei, Yuan 2 Li, Deyuan 2 Liao, Anping 2 Ma, Changfeng 2 McGann, Anna V. 2 Mitra, Sujit Kumar 2 Modarres, Reza 2 Morettin, Pedro Alberto 2 Murdoch, Duncan J. ...and 501 more Authors
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#### Cited in 136 Serials

 40 Annals of the Institute of Statistical Mathematics 40 Statistics & Probability Letters 29 Journal of Multivariate Analysis 22 Extremes 17 Communications in Statistics. Theory and Methods 15 Linear Algebra and its Applications 11 Insurance Mathematics & Economics 9 Journal of Statistical Planning and Inference 8 Computers & Mathematics with Applications 8 Linear and Multilinear Algebra 7 Advances in Applied Probability 7 The Canadian Journal of Statistics 7 Applied Mathematics and Computation 6 The Annals of Statistics 6 Journal of Statistical Computation and Simulation 6 Computational Statistics and Data Analysis 5 Journal of Nonparametric Statistics 4 Kybernetika 4 Communications in Statistics. Simulation and Computation 4 Stochastic Processes and their Applications 4 Test 4 Statistical Papers 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Metrika 3 Journal of Applied Probability 3 Journal of Econometrics 3 Bernoulli 3 Journal of the Korean Statistical Society 3 Electronic Journal of Statistics 3 The Annals of Applied Statistics 2 Discrete Applied Mathematics 2 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 2 Fuzzy Sets and Systems 2 Journal of the American Statistical Association 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Statistics 2 Journal of Applied Statistics 2 Methodology and Computing in Applied Probability 2 Brazilian Journal of Probability and Statistics 2 Quantitative Finance 2 Stochastic Models 2 ASTIN Bulletin 2 Statistical Methods and Applications 2 Stochastics 2 Science China. Mathematics 2 Dependence Modeling 2 Research in Number Theory 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Notes 1 Psychometrika 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 The Annals of Probability 1 Biometrical Journal 1 Computing 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Synthese 1 Tohoku Mathematical Journal. Second Series 1 Trabajos de Estadistica y de Investigacion Operativa 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 American Journal of Mathematical and Management Sciences 1 Statistics 1 Probability Theory and Related Fields 1 Algorithmica 1 International Journal of Approximate Reasoning 1 Journal of Economic Dynamics & Control 1 Journal of Cryptology 1 Applications of Mathematics 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 Vestnik St. Petersburg University. Mathematics 1 Cybernetics and Systems Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Advances in Applied Clifford Algebras 1 Monte Carlo Methods and Applications 1 Complexity 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering ...and 36 more Serials
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#### Cited in 36 Fields

 253 Statistics (62-XX) 163 Probability theory and stochastic processes (60-XX) 54 Numerical analysis (65-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Computer science (68-XX) 10 Combinatorics (05-XX) 10 Operator theory (47-XX) 9 Number theory (11-XX) 9 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)