Open AccessApproximations to distribution of median in stratified samples
Author(s) -
Andrius Čiginas,
Tomas Rudys
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.st01
Subject(s) - edgeworth series , stratified sampling , mathematics , statistics , sample (material) , sample size determination , distribution (mathematics) , empirical distribution function , distribution function , function (biology) , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology , thermodynamics
We consider an Edgeworth type approximation to the distribution function of sample median in the case of stratified samples drawn without replacement. We give explicit expression of this approximation, and also its empirical version based on bootstrap. We compare their accuracy with that of the normal approximation by numerical examples.