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This is a translation of Harald Cram\'er's article, 'On a new limit theorem in probability theory', published in French in 1938 and deriving what is considered by mathematicians to be the first large deviation result.
On the probability function in the collective theory of risk
F. Esscher · 1932
Earlier work this paper cites.
Sur un nouveau théorème limite dans la théorie des probabilités
H. Cramér · 1938
Earlier work this paper cites.
On a new limit theorem of the theory of probability
H. Cramér · 1944
Earlier work this paper cites.
Half a century with probability theory: Some personal recollections
H. Cramér · 1976
Earlier work this paper cites.
Bibliography: Publications of Harald Cramér
G. Blom and B. Matérn · 1984
Earlier work this paper cites.
The Central Limit Theorem around 1935
L. Le Cam · 1986
Earlier work this paper cites.
Some personal recollections of Harald Cramer on the development of statistics and probability
E. J. Wegman · 1986
Earlier work this paper cites.
Harald Cramer 1893-1985
G. Blom · 1987
Cited alongside, same era.
Harald Cramer and sums of independent random variables
L. Le Cam · 1987
Cited alongside, same era.
Harald Cramér, 1893-1985
M. R. Leadbetter · 1988
Cited alongside, same era.
Collected Works
H. Cramér · 1994
Cited alongside, same era.
Large Deviations Techniques and Applications
A. Dembo and O. Zeitouni · 1998
Cited alongside, same era.
Introductory remarks on large deviation statistics
A. Amann and H. Atmanspacher · 1999
Cited alongside, same era.
The theory of large deviations: From Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence
R. S. Ellis · 1999
Later among the works it cites.
Large Deviations
F. den Hollander · 2000
Later among the works it cites.
Large deviations
S. R. S. Varadhan · 2008
Later among the works it cites.
The large deviation approach to statistical mechanics
H. Touchette · 2009
Later among the works it cites.
Harald Cramér and Insurance Mathematics , chapter 2, pages 7–14
A. Martin-Löf · 2014
Later among the works it cites.
Le traité du calcul des probabilités et de ses applications: Étendue et limites d’un projet borélien de grande envergure (1921-1939)
M.-C. Bustamente, M. Cléry, and L. Mazliak · 2015
Later among the works it cites.
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