TY - UNPD A1 - Christopeit, Norbert A1 - Massmann, Michael T1 - Estimation of and inference on a vector of proportions, with jointly increasing population and sample size N2 - This paper proposes a method for deriving the joint asymptotic distribution of sample proportions when the population and sample size increase jointly to infinity. The joint distribution of the sample proportions is derived by reducing the multi- variate to a univariate problem and applying the Cramer-Wold device. Knowing the asymptotic distribution we are in a position to conduct inference on linear or non-linear functions of the population proportions such as a ratio or the log-odds. We motivate and develop our method by means of a topical epidemiological application, namely the infection fatality rate of a virus such as SARS-CoV-2. We demonstrate that our method can be extended to more general settings of interest. T3 - WHU – Working Paper Series in Economics - WP 21/01 KW - Ratio of proportions KW - Simultaneous inference KW - Joint asymptotics KW - Cramér-Wold device KW - Finite population correction KW - Infection fatality rate Y1 - 2021 UR - https://opus4.kobv.de/opus4-whu/frontdoor/index/index/docId/876 UR - https://nbn-resolving.org/urn:nbn:de:hbz:992-opus4-8760 PB - WHU - Otto Beisheim School of Management CY - Vallendar ER -