Dimostrò nel 1922 il teorema del limite centrale nell'articolo Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung, dimostrato successivamente e autonomamente da Alan Turing.
Scritti disponibili online J. W. Lindeberg, Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung, Mathematische Zeitschrift, 15 (1922) 211-225.
Biografie G. Elfving (2001) Jarl Waldemar Lindeberg, Statisticians of the Centuries (ed. C. C. Heyde and E. Seneta) pp. 318–321. New York: Springer. Harald Cramér (1976) Half a Century with Probability Theory: Some Personal Recollections, Annals of Probability, Vol. 4, No. 4. (Aug.), pp. 509–546.
Bibliografia L. Le Cam (1986) The Central Limit Theorem Around 1935, Statistical Science, Vol. 1, No. 1. (Feb), pp. 78–91. Gustav Elfving (1981) The History of Mathematics in Finland 1828-1918. Societas Scientarium Fennica, Helsinki.
Collegamenti esterni
Photograph of Lindeberg in Biografie degli statistici webpage