An Alternative Mathematical Foundation for Statistics

作者: R. Lutz , M. Musio

DOI: 10.1007/S10440-005-9009-Y

关键词:

摘要: We use a version of Non-standard Analysis with double scale order magnitude to develop an alternative foundation for Statistics. The corresponding theory is intermediate between Statistics and Probability Theory we view it as link Frequency Probability.

参考文章(12)
Francine Diener, Marc Diener, Nonstandard Analysis in Practice ,(1995)
Yves Péraire, THEORIE RELATIVE DES ENSEMBLES INTERNES Osaka Journal of Mathematics. ,vol. 29, pp. 267- 297 ,(1992) , 10.18910/8295
Robert Lutz, Luis Gonzaga Luis Gonzaga, Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis Synthese. ,vol. 134, pp. 325- 351 ,(2003) , 10.1023/A:1022152117818
Abraham Robinson, Non-standard analysis ,(1966)
Edward Nelson, Internal set theory: A new approach to nonstandard analysis Bulletin of the American Mathematical Society. ,vol. 83, pp. 1165- 1199 ,(1977) , 10.1090/S0002-9904-1977-14398-X
Jean-Michel Salanskis, Hourya Sinaceur, Le labyrinthe du continu ,(1995)
Edward Nelson, Radically Elementary Probability Theory. (AM-117) Princeton University Press. ,(1987) , 10.1515/9781400882144