Open AccessNonparametric Estimation for Hazard Rate Function by Wavelet Procedures with Simulation
Author(s) -
Ali Talib Mohammed,
Iden Hasan Hussein
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/571/1/012013
Subject(s) - wavelet , estimation , censoring (clinical trials) , nonparametric statistics , subspace topology , mathematics , statistics , parametric statistics , function (biology) , computer science , artificial intelligence , economics , evolutionary biology , biology , management
This article is a study of a non-parametric estimation of the hazard rate function using the linear wavelet estimation for right randomly censoring data. The strategy of the estimation is based on the use of the wavelet projection of the father function{ φ j , k ( x ), j = 1,2,…, 0 ≤ k ≤2 j −1 } on the subspace ( V j ) of the space L 2 ( R ), with the Breslow estimate of the cumulative function. Real data of patients suffering from liver metastases is using as an application. Moreover, a simulation study is used to give more clarify to the method of estimation.