Cramér, Harald 18931985
Overview
Works:  150 works in 763 publications in 11 languages and 7,461 library holdings 

Genres:  Biographical films History Documentary films Educational films 
Roles:  Author, Honoree, Other 
Classifications:  QA273, 519.1 
Publication Timeline
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Most widely held works about
Harald Cramér
 Probability and statistics; the Harald Cramér volume by Ulf Grenander( Book )
 On Cramér's theory in infinite dimensions by Raphaël Cerf( Book )
 Probability and statistics the Harald Cramér volume by Harald Cramér( Book )
 Mathematical probability and statistical inference : some reflections from an important phase of scientific development by Harald Cramér( Visual )
 Francis White papers by Francis White( Book )
Most widely held works by
Harald Cramér
Mathematical methods of statistics by
Harald Cramér(
Book
)
182 editions published between 1944 and 1999 in 9 languages and held by 2,064 WorldCat member libraries worldwide
Introduccion matematica; Variables aleatorias y distribuciones de probabilidad; Inferencia estadistica
182 editions published between 1944 and 1999 in 9 languages and held by 2,064 WorldCat member libraries worldwide
Introduccion matematica; Variables aleatorias y distribuciones de probabilidad; Inferencia estadistica
The elements of probability theory and some of its applications by
Harald Cramér(
Book
)
115 editions published between 1926 and 1973 in 4 languages and held by 1,278 WorldCat member libraries worldwide
115 editions published between 1926 and 1973 in 4 languages and held by 1,278 WorldCat member libraries worldwide
Random variables and probability distributions by
Harald Cramér(
Book
)
83 editions published between 1937 and 2004 in 3 languages and held by 1,174 WorldCat member libraries worldwide
This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made
83 editions published between 1937 and 2004 in 3 languages and held by 1,174 WorldCat member libraries worldwide
This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made
Structural and statistical problems for a class of stochastic processes by
Harald Cramér(
)
25 editions published between 1971 and 2017 in English and Undetermined and held by 903 WorldCat member libraries worldwide
Professor Cramer, author of the pivotal Mathematical Methods of Statistics (1946), examines problems in the theory of stochastic processes that can be considered as generalizations of problems in the classical theory of statistical inference. He discusses first the representation formula and then treats its application to the multiplicity problem, classes of processes with multiplicity N= 1, normal or Gaussian processes. He concludes with a discussion of problems of estimation for a normal process. A distinguished mathematician, Harald Cramer has been President of the University of Stockholm and Chancellor of the Swedish Universities. He is a member of many professional societies, including the Royal Swedish Academy of Science and the American Academy of Arts and Sciences. Originally published in 1971. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
25 editions published between 1971 and 2017 in English and Undetermined and held by 903 WorldCat member libraries worldwide
Professor Cramer, author of the pivotal Mathematical Methods of Statistics (1946), examines problems in the theory of stochastic processes that can be considered as generalizations of problems in the classical theory of statistical inference. He discusses first the representation formula and then treats its application to the multiplicity problem, classes of processes with multiplicity N= 1, normal or Gaussian processes. He concludes with a discussion of problems of estimation for a normal process. A distinguished mathematician, Harald Cramer has been President of the University of Stockholm and Chancellor of the Swedish Universities. He is a member of many professional societies, including the Royal Swedish Academy of Science and the American Academy of Arts and Sciences. Originally published in 1971. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Stationary and related stochastic processes; sample function properties and their applications by
Harald Cramér(
Book
)
33 editions published between 1966 and 2013 in English and Undetermined and held by 653 WorldCat member libraries worldwide
This graduatelevel text offers a comprehensive account of the general theory of stationary processes, with special emphasis on the properties of sample functions. Assuming a familiarity with the basic features of modern probability theory, the text develops the foundations of the general theory of stochastic processes, examines processes with a continuoustime parameter, and applies the general theory to procedures key to the study of stationary processes. Additional topics include analytic properties of the sample functions and the problem of time distribution of the intersections between a sample function. 1967 edition
33 editions published between 1966 and 2013 in English and Undetermined and held by 653 WorldCat member libraries worldwide
This graduatelevel text offers a comprehensive account of the general theory of stationary processes, with special emphasis on the properties of sample functions. Assuming a familiarity with the basic features of modern probability theory, the text develops the foundations of the general theory of stochastic processes, examines processes with a continuoustime parameter, and applies the general theory to procedures key to the study of stationary processes. Additional topics include analytic properties of the sample functions and the problem of time distribution of the intersections between a sample function. 1967 edition
Harald Cramér : collected works by
Harald Cramér(
Book
)
16 editions published between 1993 and 1994 in 3 languages and held by 161 WorldCat member libraries worldwide
16 editions published between 1993 and 1994 in 3 languages and held by 161 WorldCat member libraries worldwide
Elementos de la teoría de probabilidades y algunas de sus aplicaciones by
Harald Cramér(
Book
)
33 editions published between 1956 and 1982 in Spanish and held by 91 WorldCat member libraries worldwide
Fundamentos; Variables aleatorias y distribuciones de probabilidad; Aplicaciones
33 editions published between 1956 and 1982 in Spanish and held by 91 WorldCat member libraries worldwide
Fundamentos; Variables aleatorias y distribuciones de probabilidad; Aplicaciones
Collective risk theory; a survey of the theory from the point of view of the theory of stochastic processes by
Harald Cramér(
Book
)
16 editions published in 1955 in English and Swedish and held by 80 WorldCat member libraries worldwide
16 editions published in 1955 in English and Swedish and held by 80 WorldCat member libraries worldwide
Aus der neueren mathematischen Wahrscheinlichkeitslehre by
Harald Cramér(
Book
)
4 editions published between 1958 and 1959 in German and held by 56 WorldCat member libraries worldwide
4 editions published between 1958 and 1959 in German and held by 56 WorldCat member libraries worldwide
On some questions connected with mathematical risk by
Harald Cramér(
Book
)
6 editions published in 1954 in English and held by 54 WorldCat member libraries worldwide
6 editions published in 1954 in English and held by 54 WorldCat member libraries worldwide
Probability and statistics the Harald Cramér volume by
Harald Cramér(
Book
)
11 editions published in 1959 in English and Undetermined and held by 39 WorldCat member libraries worldwide
11 editions published in 1959 in English and Undetermined and held by 39 WorldCat member libraries worldwide
Collected works by
Harald Cramér(
Book
)
6 editions published between 1994 and 2013 in English and German and held by 36 WorldCat member libraries worldwide
6 editions published between 1994 and 2013 in English and German and held by 36 WorldCat member libraries worldwide
Collected works by
Harald Cramér(
Book
)
10 editions published between 1994 and 2013 in English and Undetermined and held by 34 WorldCat member libraries worldwide
10 editions published between 1994 and 2013 in English and Undetermined and held by 34 WorldCat member libraries worldwide
Collected works by
Harald Cramér(
Book
)
6 editions published between 1994 and 2013 in English and German and held by 32 WorldCat member libraries worldwide
6 editions published between 1994 and 2013 in English and German and held by 32 WorldCat member libraries worldwide
Sur une classe de séries de Dirichlet by
Harald Cramér(
Book
)
9 editions published in 1917 in French and held by 31 WorldCat member libraries worldwide
9 editions published in 1917 in French and held by 31 WorldCat member libraries worldwide
Die neuere Entwicklung der analytischen Azhlentheorie by
Harald August Bohr(
)
7 editions published between 1922 and 1923 in German and held by 27 WorldCat member libraries worldwide
7 editions published between 1922 and 1923 in German and held by 27 WorldCat member libraries worldwide
Aus der neueren mathematischen Wahrscheinlichkeitslehre by
Harald Cramér(
Book
)
1 edition published in 1959 in German and held by 23 WorldCat member libraries worldwide
1 edition published in 1959 in German and held by 23 WorldCat member libraries worldwide
Mathematical Methods of Statistics (PMS9) by
Harald Cramér(
)
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance
Les sommes et les fonctions de variables aléatoires by
Harald Cramér(
Book
)
2 editions published in 1938 in French and held by 17 WorldCat member libraries worldwide
2 editions published in 1938 in French and held by 17 WorldCat member libraries worldwide
Colloque Consacre a la Theorie des Probabilites by
Colloque Consacré a la Théorie des Probabilités(
Book
)
8 editions published in 1938 in French and held by 17 WorldCat member libraries worldwide
8 editions published in 1938 in French and held by 17 WorldCat member libraries worldwide
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Related Identities
 Goldstine, Herman H. (Herman Heine) 19132004
 Leadbetter, M. R.
 Grenander, Ulf Editor
 MartinL�of, A (Anders) 1940 Other Editor
 Cerf, Raphaël Author
 Grenander, Ulf Author Editor
 Mises, Richard von
 Calleja, Anselmo
 Lévy, Paul 18861971
 Bohr, Harald August 18871951 Author
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Acheson, Dean, ArgentinaBuenos Aires Astor, Vincent, Austin, Warren Robinson, Beaulac, Willard Leon, Bolivia Bruce, David K. E., Burrows, Charles Robert, Butterworth, W. Walton(William Walton), Cabot, John M.(John Moors), Caffery, Jefferson, Castle, William R.(William Richards),Jr., Cordier, Andrew W.(Andrew Wellington), Cramér, Harald, Cresson, W. P.(William Penn), Crowder, E. H.(Enoch Herbert), Dearing, Fred Morris, Dennis, William Cullen, Dirichlet series Distribution (Probability theory) Feely, Edward F Henry, Jules, Hofer, Myron A., Hyde, Charles Cheney, InsuranceMathematics Kent, Frank R.(Frank Richardson), Lodge, Henry Cabot,Jr., MacMurray, John Van Antwerp, Mathematical statistics Morrison, deLesseps S.(deLesseps Story), Number theory Probabilities Random variables Reuther, Walter, Riddle, John Wallace, Riemann integral Riggs, John Beverley, Rinehart, Mary Roberts, Risk (Insurance) Robbins, Warren Delano, Roosevelt, Franklin D.(Franklin Delano), Sheffield, James R.(James Rockwell), Siciliano, Rocco C Stationary processes Statisticians Statistics Stochastic processes TacnaArica question Travel United States
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Alternative Names
Cramer, Carl H. 18931985
Cramér, Carl Harald
Cramér, Carl Harald 1893
Cramér, Carl Harald 18931985
Cramér, H.
Cramér, Harald
Cramer, Harald, 1893
Harald Cramér matemàtic suec
Harald Cramér matematico e statistico svedese
Harald Cramér matemático sueco
Harald Cramér mathématicien suédois
Harald Cramér schwedischer Mathematiker und Statistiker
Harald Cramér Swedish mathematician
Harald Cramér Zweeds wiskundige
Kramer, Charald 18931985
Kramer, Garalʹd
Kramer, Garalʹd 18931985
Kramer, Haral'd.
Крамер Г.
Крамер, Г dz. 1893
Крамер, Г. (Гаральд), 18931985
Крамер Гаральд
Крамер, Гаральд, 18931985
Крамер, Гаральд dz. 1893
Харальд Крамер шведский математик
הרלד קרמר מתמטיקאי שוודי
هارالد كرامر
هارالد كرامر رياضياتي سويدي
هارالد کرامر
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哈拉尔德·克拉梅尔
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