Nonparametric Estimation for Hazard Rate Function by Wavelet Procedures with Simulation

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Mohammed, Ali Talib^1 ; Hussein, Iden Hasan^2

University of Baghdad, College of Education for Pure Sciences, Department of Mathematics, Ibn AL-Haitham, Iraq^1

University of Baghdad, College of Sciences for Women, Department of Mathematic, Iraq^2

关键词: Hazard rates;    Liver metastasis;    Non-parametric estimations;    Simulation studies;    Wavelet estimations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012013/pdf
DOI  :  10.1088/1757-899X/571/1/012013

来源: IOP

【 摘 要 】

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 ≤2j-1} on the subspace (Vj ) of the spaceL 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.