Wavelet Density Estimation of Censoring Data and Evaluate of Mean Integral Square Error with Convergence Ratio and Empirical Distribution of Given Estimator

• 作者: Mahmoud Afshari
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: WAVELET Estimation CENSORING Mean INTEGRAL ERROR CONVERGENCE
• 年，卷（期）: 2014,（13）
• 页码范围: 2062-2072
• 页数: 11页
• 分类号: O1

摘要

Wavelet has rapid development in the current mathematics new areas. It also has a double meaning of theory and application. In signal and image compression, signal analysis, engineering technology has a wide range of applications. In this paper, we use wavelet method, for estimating the density function for censoring data. We evaluate the mean integrated squared error, convergence ratio of given estimator. Also, we obtain empirical distribution of given estimator and verify the conclusion by two simulation examples.