## Marshall, Albert W.

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 Author ID: marshall.albert-w Published as: Marshall, Albert W.; Marshall, A. W. Homepage: https://www.stat.ubc.ca/users/albert-w-marshall External Links: MGP · dblp
 Documents Indexed: 75 Publications since 1953, including 4 Books 1 Further Contribution Co-Authors: 16 Co-Authors with 67 Joint Publications 502 Co-Co-Authors
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### Co-Authors

 8 single-authored 37 Olkin, Ingram 13 Proschan, Frank 8 Esary, James D. 6 Shaked, Moshe 4 Barlow, Richard E. 2 Birnbaum, Zygmunt Wilhelm 1 Arnold, Barry Charles 1 Beckenbach, Edwin Ford 1 Bessler, S. A. 1 Boyles, Russell A. 1 Chernoff, Herman 1 de Bruijn, Nicolaas Govert 1 Diaz, Joaquin Basilio 1 Fan, Ky 1 Friedman, Avner 1 Ghurye, Sudhish G. 1 Gosselin, Richard P. 1 Hollander, Myles 1 Karlin, Samuel 1 Littlewood, John Edensor 1 Marcus, Marvin D. 1 Marsaglia, George 1 Metcalf, Frederic T. 1 Motzkin, Theodore Samuel 1 Payne, Lawrence Edward 1 Pólya, George 1 Pukelsheim, Friedrich 1 Schoenberg, Isaac Jacob 1 Shisha, D. 1 Shisha, Oved 1 Taussky-Todd, Olga 1 Todd, John 1 Walkup, David W. 1 Weinstein, Alexander 1 Wets, Roger Jean-Baptiste 1 Ziegler, Zvi
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### Serials

 9 Annals of Mathematical Statistics 5 The Annals of Probability 4 Journal of Applied Probability 4 Journal of Multivariate Analysis 4 Pacific Journal of Mathematics 3 The Annals of Statistics 3 Journal of the American Statistical Association 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Operations Research 2 Numerische Mathematik 2 Operations Research 2 Technometrics 2 Statistical Science 2 Aequationes Mathematicae 2 Journal of the Royal Statistical Society. Series B 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 Statistica Sinica 2 Springer Series in Statistics 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Scandinavian Journal of Statistics 1 Biometrika 1 Journal of Statistical Planning and Inference 1 Social Choice and Welfare 1 Stochastic Processes and their Applications 1 Mathematics in Science and Engineering
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### Fields

 27 Statistics (62-XX) 26 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX)

### Citations contained in zbMATH Open

68 Publications have been cited 4,163 times in 3,735 Documents Cited by Year
Inequalities: theory of majorization and its applications. Zbl 0437.26007
Marshall, Albert W.; Olkin, Ingram
1979
Inequalities: theory of majorization and its applications. 2nd edition. Zbl 1219.26003
Marshall, Albert W.; Olkin, Ingram; Arnold, Barry C.
2011
A multivariate exponential distribution. Zbl 0147.38106
Marshall, Albert W.; Olkin, Ingram
1967
A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Zbl 0888.62012
Marshall, Albert W.; Olkin, Ingram
1997
Life distributions. Structure of nonparametric, semiparametric, and parametric families. Zbl 1304.62019
Marshall, Albert W.; Olkin, Ingram
2007
Families of multivariate distributions. Zbl 0683.62029
Marshall, Albert W.; Olkin, Ingram
1988
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Properties of probability distributions with monotone hazard rate. Zbl 0249.60006
Barlow, Richard E.; Marshall, Albert W.; Proschan, Frank
1963
A generalized bivariate exponential distribution. Zbl 0155.24001
Marshall, A. W.; Olkin, I.
1967
Scaling of matrices to achieve specified row and column sums. Zbl 0165.17401
Marshall, A. W.; Olkin, I.
1968
Matrix versions of the Cauchy and Kantorovich inequalities. Zbl 0706.15019
Marshall, A. W.; Olkin, I.
1990
Domains of attraction of multivariate extreme value distributions. Zbl 0508.60022
Marshall, Albert W.; Olkin, Ingram
1983
A family of bivariate distributions generated by the bivariate Bernoulli distribution. Zbl 0575.60023
Marshall, Albert W.; Olkin, Ingram
1985
Maximum likelihood estimation for distributions with monotone failure rate. Zbl 0128.38506
Marshall, A. W.; Proschan, F.
1965
Multivariate Chebyshev inequalities. Zbl 0244.60013
Marshall, Albert W.; Olkin, Ingram
1960
Marshall, Albert W.
1975
Majorization in multivariate distributions. Zbl 0292.62037
Marshall, Albert W.; Olkin, Ingram
1974
Coherent life functions. Zbl 0198.24804
Esary, J. D.; Marshall, A. W.
1970
Methods of reducing sample size in Monte Carlo computations. Zbl 1414.90373
Kahn, H.; Marshall, A. W.
1953
Some multivariante Chebyshev inequalities with extensions to continuous parameter processes. Zbl 0114.08004
Birnbaum, Z. W.; Marshall, A. W.
1961
Order-preserving functions; applications to majorization and order statistics. Zbl 0153.38502
Marshall, A. W.; Walkup, D. W.; Wets, R. J.-B.
1967
Multivariate distributions with exponential minimums. Zbl 0293.60017
Esary, James D.; Marshall, Albert W.
1974
Bounds for distributions with monotone hazard rate. I, II. Zbl 0245.60012
Barlow, Richard E.; Marshall, Albert W.
1964
Classes of distributions applicable in replacement with renewal theory implications. Zbl 0253.60077
Marshall, Albert W.; Proschan, Frank
1972
Reserval of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality. Zbl 0136.04201
Marshall, A. W.; Olkin, I.
1964
Multivariate distributions generated from mixtures of convolution and product families. Zbl 0769.62037
Marshall, Albert W.; Olkin, Ingram
1990
A stochastic characterization of wear-out for components and systems. Zbl 0144.41904
Birnbaum, Z. W.; Esary, J. D.; Marshall, A. W.
1966
An inequality for convex functions involving majorization. Zbl 0145.28601
Marshall, A. W.; Proschan, F.
1965
Multivariate shock models for distributions with increasing hazard rate average. Zbl 0394.62033
Marshall, Albert W.; Shaked, Moshe
1979
Some inequalities for starshaped and convex functions. Zbl 0176.01203
Barlow, R. E.; Marshall, A. W.; Proschan, F.
1969
Multivariate distributions with increasing hazard rate average. Zbl 0394.62032
Esary, J. D.; Marshall, A. W.
1979
Multivariate exponential and geometric distributions with limited memory. Zbl 0877.62049
Marshall, Albert W.; Olkin, Ingram
1995
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Norms and inequalities for condition numbers. Zbl 0166.30001
Marshall, A. W.; Olkin, I.
1965
Multivariate stochastic orderings and generating cones of functions. Zbl 0760.60018
Marshall, Albert W.
1991
A class of multivariate new better than used distributions. Zbl 0481.62077
Marshall, Albert W.; Shaked, Moshe
1982
A majorization comparison of apportionment methods in proportional representation. Zbl 1072.91533
Marshall, Albert W.; Olkin, Ingram; Pukelsheim, Friedrich
2002
Mean life of series and parallel systems. Zbl 0193.19804
Marshall, A. W.; Proschan, F.
1970
Inequalities: theory of majorization and its applications. (Neravenstva: teoriya mazhorizatsii i ee prilozheniya). Transl. from the English. Zbl 0544.26008
Marshall, Albert W.; Olkin, Ingram
1983
Shock processes with aftereffects and multivariate lack of memory. Zbl 0553.60078
Ghurye, S. G.; Marshall, Albert W.
1984
The small sample distribution on $$n\omega_n^2$$. Zbl 0086.35103
Marshall, A. W.
1958
Some reliability applications of the hazard transform. Zbl 0198.24902
Esary, J. D.; Marshall, A. W.; Proschan, F.
1970
Bivariate life distributions from Pólya’s urn model for contagion. Zbl 0786.60015
Marshall, Albert W.; Olkin, Ingram
1993
A bivariate Gompertz-Makeham life distribution. Zbl 1320.62027
Marshall, Albert W.; Olkin, Ingram
2015
A convexity proof of Hadamard’s inequality. Zbl 0526.15011
Marshall, A. W.; Olkin, I.
1982
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
1967
A one-sided analog of Kolmogorov’s inequality. Zbl 0099.13105
Marshall, Albert W.
1960
Functional equations for multivariate exponential distributions. Zbl 0739.62038
Marshall, Albert W.; Olkin, Ingram
1991
Maximum likelihood characterizations of distributions. Zbl 0826.60011
Marshall, Albert W.; Olkin, Ingram
1993
Multivariate new better than used distributions: A survey. Zbl 0638.62050
Marshall, Albert W.; Shaked, Moshe
1986
Bivariate distributions generated from Pólya-Eggenberger urn models. Zbl 0711.62043
Marshall, Albert W.; Olkin, Ingram
1990
Game theoretic proof that Chebyshev inequalities are sharp. Zbl 0118.13703
Marshall, A. W.; Olkin, I.
1961
New better than used processes. Zbl 0511.60086
Marshall, Albert W.; Shaked, Moshe
1983
Multivariate new better than used distributions. Zbl 0631.62059
Marshall, Albert W.; Shaked, Moshe
1986
Characterizations of distributions through coincidences of semiparametric families. Zbl 1146.62008
Marshall, Albert W.; Olkin, Ingram
2007
Norms and inequalities for condition numbers. II. Zbl 0182.05205
Marshall, A. W.; Olkin, I.
1969
Inequalities for the trace function. Zbl 0585.15003
Marshall, Albert W.; Olkin, Ingram
1985
Inclusion theorems for eigenvalues from probability inequalities. Zbl 0131.24903
Marshall, A. W.; Olkin, I.
1964
Bounds on interval probabilities for restricted families of distributions. Zbl 0308.60015
Barlow, R. E.; Marshall, A. W.
1967
Norms and inequalities for condition numbers. III. Zbl 0351.15015
Marshall, Albert W.; Olkin, Ingram
1973
An optimal sequential accelerated life test. Zbl 0107.35802
Bessler, S.; Chernoff, H.; Marshall, A. W.
1962
NBU processes with general state space. Zbl 0595.60083
Marshall, Albert W.; Shaked, Moshe
1986
A general approach to some screening and classification problems. Zbl 0187.16603
Marshall, Albert W.; Olkin, Ingram
1968
Convexity preserving scale transformations. Zbl 0301.26012
Marshall, Albert W.; Proschan, Frank
1972
A conversation with Z. William Birnbaum. Zbl 0955.01524
Marshall, Albert W.
1990
A one-sided inequality of the Chebyshev type. Zbl 0237.60007
Marshall, Albert W.; Olkin, Ingram
1960
A conversation with Frank Proschan. Zbl 1148.01310
Hollander, Myles; Marshall, Albert W.
1995
Schur-convexity, gamma functions, and moments. Zbl 1266.26027
Marshall, Albert W.; Olkin, Ingram
2009
A bivariate Gompertz-Makeham life distribution. Zbl 1320.62027
Marshall, Albert W.; Olkin, Ingram
2015
Inequalities: theory of majorization and its applications. 2nd edition. Zbl 1219.26003
Marshall, Albert W.; Olkin, Ingram; Arnold, Barry C.
2011
Schur-convexity, gamma functions, and moments. Zbl 1266.26027
Marshall, Albert W.; Olkin, Ingram
2009
Life distributions. Structure of nonparametric, semiparametric, and parametric families. Zbl 1304.62019
Marshall, Albert W.; Olkin, Ingram
2007
Characterizations of distributions through coincidences of semiparametric families. Zbl 1146.62008
Marshall, Albert W.; Olkin, Ingram
2007
A majorization comparison of apportionment methods in proportional representation. Zbl 1072.91533
Marshall, Albert W.; Olkin, Ingram; Pukelsheim, Friedrich
2002
A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Zbl 0888.62012
Marshall, Albert W.; Olkin, Ingram
1997
Multivariate exponential and geometric distributions with limited memory. Zbl 0877.62049
Marshall, Albert W.; Olkin, Ingram
1995
A conversation with Frank Proschan. Zbl 1148.01310
Hollander, Myles; Marshall, Albert W.
1995
Bivariate life distributions from Pólya’s urn model for contagion. Zbl 0786.60015
Marshall, Albert W.; Olkin, Ingram
1993
Maximum likelihood characterizations of distributions. Zbl 0826.60011
Marshall, Albert W.; Olkin, Ingram
1993
Multivariate stochastic orderings and generating cones of functions. Zbl 0760.60018
Marshall, Albert W.
1991
Functional equations for multivariate exponential distributions. Zbl 0739.62038
Marshall, Albert W.; Olkin, Ingram
1991
Matrix versions of the Cauchy and Kantorovich inequalities. Zbl 0706.15019
Marshall, A. W.; Olkin, I.
1990
Multivariate distributions generated from mixtures of convolution and product families. Zbl 0769.62037
Marshall, Albert W.; Olkin, Ingram
1990
Bivariate distributions generated from Pólya-Eggenberger urn models. Zbl 0711.62043
Marshall, Albert W.; Olkin, Ingram
1990
A conversation with Z. William Birnbaum. Zbl 0955.01524
Marshall, Albert W.
1990
Families of multivariate distributions. Zbl 0683.62029
Marshall, Albert W.; Olkin, Ingram
1988
Multivariate new better than used distributions: A survey. Zbl 0638.62050
Marshall, Albert W.; Shaked, Moshe
1986
Multivariate new better than used distributions. Zbl 0631.62059
Marshall, Albert W.; Shaked, Moshe
1986
NBU processes with general state space. Zbl 0595.60083
Marshall, Albert W.; Shaked, Moshe
1986
A family of bivariate distributions generated by the bivariate Bernoulli distribution. Zbl 0575.60023
Marshall, Albert W.; Olkin, Ingram
1985
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Inequalities for the trace function. Zbl 0585.15003
Marshall, Albert W.; Olkin, Ingram
1985
Shock processes with aftereffects and multivariate lack of memory. Zbl 0553.60078
Ghurye, S. G.; Marshall, Albert W.
1984
Domains of attraction of multivariate extreme value distributions. Zbl 0508.60022
Marshall, Albert W.; Olkin, Ingram
1983
Inequalities: theory of majorization and its applications. (Neravenstva: teoriya mazhorizatsii i ee prilozheniya). Transl. from the English. Zbl 0544.26008
Marshall, Albert W.; Olkin, Ingram
1983
New better than used processes. Zbl 0511.60086
Marshall, Albert W.; Shaked, Moshe
1983
A class of multivariate new better than used distributions. Zbl 0481.62077
Marshall, Albert W.; Shaked, Moshe
1982
A convexity proof of Hadamard’s inequality. Zbl 0526.15011
Marshall, A. W.; Olkin, I.
1982
Inequalities: theory of majorization and its applications. Zbl 0437.26007
Marshall, Albert W.; Olkin, Ingram
1979
Multivariate shock models for distributions with increasing hazard rate average. Zbl 0394.62033
Marshall, Albert W.; Shaked, Moshe
1979
Multivariate distributions with increasing hazard rate average. Zbl 0394.62032
Esary, J. D.; Marshall, A. W.
1979
Marshall, Albert W.
1975
Majorization in multivariate distributions. Zbl 0292.62037
Marshall, Albert W.; Olkin, Ingram
1974
Multivariate distributions with exponential minimums. Zbl 0293.60017
Esary, James D.; Marshall, Albert W.
1974
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Norms and inequalities for condition numbers. III. Zbl 0351.15015
Marshall, Albert W.; Olkin, Ingram
1973
Classes of distributions applicable in replacement with renewal theory implications. Zbl 0253.60077
Marshall, Albert W.; Proschan, Frank
1972
Convexity preserving scale transformations. Zbl 0301.26012
Marshall, Albert W.; Proschan, Frank
1972
Coherent life functions. Zbl 0198.24804
Esary, J. D.; Marshall, A. W.
1970
Mean life of series and parallel systems. Zbl 0193.19804
Marshall, A. W.; Proschan, F.
1970
Some reliability applications of the hazard transform. Zbl 0198.24902
Esary, J. D.; Marshall, A. W.; Proschan, F.
1970
Some inequalities for starshaped and convex functions. Zbl 0176.01203
Barlow, R. E.; Marshall, A. W.; Proschan, F.
1969
Norms and inequalities for condition numbers. II. Zbl 0182.05205
Marshall, A. W.; Olkin, I.
1969
Scaling of matrices to achieve specified row and column sums. Zbl 0165.17401
Marshall, A. W.; Olkin, I.
1968
A general approach to some screening and classification problems. Zbl 0187.16603
Marshall, Albert W.; Olkin, Ingram
1968
A multivariate exponential distribution. Zbl 0147.38106
Marshall, Albert W.; Olkin, Ingram
1967
A generalized bivariate exponential distribution. Zbl 0155.24001
Marshall, A. W.; Olkin, I.
1967
Order-preserving functions; applications to majorization and order statistics. Zbl 0153.38502
Marshall, A. W.; Walkup, D. W.; Wets, R. J.-B.
1967
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
1967
Bounds on interval probabilities for restricted families of distributions. Zbl 0308.60015
Barlow, R. E.; Marshall, A. W.
1967
A stochastic characterization of wear-out for components and systems. Zbl 0144.41904
Birnbaum, Z. W.; Esary, J. D.; Marshall, A. W.
1966
Maximum likelihood estimation for distributions with monotone failure rate. Zbl 0128.38506
Marshall, A. W.; Proschan, F.
1965
An inequality for convex functions involving majorization. Zbl 0145.28601
Marshall, A. W.; Proschan, F.
1965
Norms and inequalities for condition numbers. Zbl 0166.30001
Marshall, A. W.; Olkin, I.
1965
Bounds for distributions with monotone hazard rate. I, II. Zbl 0245.60012
Barlow, Richard E.; Marshall, Albert W.
1964
Reserval of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality. Zbl 0136.04201
Marshall, A. W.; Olkin, I.
1964
Inclusion theorems for eigenvalues from probability inequalities. Zbl 0131.24903
Marshall, A. W.; Olkin, I.
1964
Properties of probability distributions with monotone hazard rate. Zbl 0249.60006
Barlow, Richard E.; Marshall, Albert W.; Proschan, Frank
1963
An optimal sequential accelerated life test. Zbl 0107.35802
Bessler, S.; Chernoff, H.; Marshall, A. W.
1962
Some multivariante Chebyshev inequalities with extensions to continuous parameter processes. Zbl 0114.08004
Birnbaum, Z. W.; Marshall, A. W.
1961
Game theoretic proof that Chebyshev inequalities are sharp. Zbl 0118.13703
Marshall, A. W.; Olkin, I.
1961
Multivariate Chebyshev inequalities. Zbl 0244.60013
Marshall, Albert W.; Olkin, Ingram
1960
A one-sided analog of Kolmogorov’s inequality. Zbl 0099.13105
Marshall, Albert W.
1960
A one-sided inequality of the Chebyshev type. Zbl 0237.60007
Marshall, Albert W.; Olkin, Ingram
1960
The small sample distribution on $$n\omega_n^2$$. Zbl 0086.35103
Marshall, A. W.
1958
Methods of reducing sample size in Monte Carlo computations. Zbl 1414.90373
Kahn, H.; Marshall, A. W.
1953
all top 5