TY - GEN A1 - Brandt, Manfred T1 - Approximations for the Distribution Function of the Sum of iid Random Variables with Compact Support in R+ N2 - In this paper a unified approach to central and decentral approximations of the distribution function $F(x,n)$ of the sum of $n$ iid random variables with compact support in $I\!\!R_+$ is given. This approach yields direct Edgeworth expansion (especially the Central limit theorem) and indirect Edgeworth expansion (Theorem of Bahadur-Rao, large deviation results) within a unified framework. An approximative inversion of the LST of $F(x,n)$ (approximation of the complex inversion integral over a line by an integral over a proper bounded arc with a proper integrand) allows to get these approximations and moreover explicit error bounds. T3 - ZIB-Report - SC-95-33 Y1 - 1995 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/199 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-1990 ER -