A History of the Central Limit Theorem: From Classical to Modern Probability Theory

作者: Hans Fischer

DOI:

关键词: Probability theoryCauchy distributionCalculusEmpirical processLaplace transformErdős–Kac theoremConvergence of random variablesMathematicsLimit (mathematics)Central limit theoremApplied mathematics

摘要: Preface.- Introduction.- The central limit theorem from laplace to cauchy: changes in stochastic objectives and analytical methods.- hypothesis of elementary errors.- Chebyshev's markov's contributions.- way towards modern probability.- General problems.- Conclusion: the as a link between classical Index.- Bibliography

参考文章(5)
L. Le Cam, The Central Limit Theorem Around 1935 Statistical Science. ,vol. 1, pp. 78- 91 ,(1986) , 10.1214/SS/1177013818
David Aldous, A. Araujo, E. Giné, E. Gine, The Central Limit Theorem for Real and Banach Valued Random Variables Technometrics. ,vol. 23, pp. 307- ,(1981) , 10.2307/1267796