Open AccessOptimal unbiased estimates of P{x < y} for some families of distributions
Author(s) -
M Obradović,
Miodrag Jovanović,
Bojana Milošević
Publication year - 2014
Publication title -
metodološki zvezki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.127
H-Index - 7
eISSN - 1854-0031
pISSN - 1854-0023
DOI - 10.51936/smem2126
Subject(s) - reliability (semiconductor) , mathematics , statistics , combinatorics , statistical physics , physics , thermodynamics , power (physics)
In reliability theory, one of the main problems is estimating parameter \(R = P\{X < Y\}\). In this paper we shall present UMVUEs for \(R\) in different cases i.e. for different distributions of \(X\) and \(Y\). Some of them are already existing and some are original.