Approximations to distribution of median in stratified samples | Zendy

Andrius Čiginas | Zendy; Tomas Rudys | Zendy

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Approximations 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) , empirical distribution function , distribution (mathematics) , distribution function , approximations of π , series (stratigraphy) , mathematical analysis , physics , geology , quantum mechanics , thermodynamics , paleontology

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.

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