Mušicki-Kovačević, Vesna Conditional probability in nonstandard analysis. (English) Zbl 0619.60004 Publ. Inst. Math., Nouv. Sér. 39(53), 17-24 (1986). In this article the author applies the theory of Loeb measure to conditional probability. First, the author defines and investigates an internal conditional probability P(\(\cdot | A)\), \(A\in^*{\mathfrak B}(V)\), for a hyperfinite probability space \((V,^*{\mathfrak B}(V),P)\) and gives a nonstandard representation for conditional probability \(^{\sim}P(\cdot | A)\), \(A\in {\mathfrak M}(^{\sim}P)\), on the Loeb space (V,\({\mathfrak M}(^{\sim}P),^{\sim}P)\). He then investigates, in a similar manner, conditional expectation E(X\(| {\mathfrak U})\). Reviewer: R.A.Herrmann MSC: 60A99 Foundations of probability theory 03H10 Other applications of nonstandard models (economics, physics, etc.) Keywords:Loeb measure; conditional probability; hyperfinite probability space; nonstandard representation for conditional probability PDFBibTeX XMLCite \textit{V. Mušicki-Kovačević}, Publ. Inst. Math., Nouv. Sér. 39(53), 17--24 (1986; Zbl 0619.60004)