caa a22 4500 445830468 CHVBK 20180317145313.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10255-010-9318-4 doi (NATIONALLICENCE)springer-10.1007/s10255-010-9318-4 Distribution estimation with smoothed auxiliary information [Elektronische Daten] [Xu Liu, Ahmad Ishfaq] Distribution estimation is very important in order to make statistical inference for parameters or its functions based on this distribution. In this work we propose an estimator of the distribution of some variable with non-smooth auxiliary information, for example, a symmetric distribution of this variable. A smoothing technique is employed to handle the non-differentiable function. Hence, a distribution can be estimated based on smoothed auxiliary information. Asymptotic properties of the distribution estimator are derived and analyzed. The distribution estimators based on our method are found to be significantly efficient than the corresponding estimators without these auxiliary information. Some simulation studies are conducted to illustrate the finite sample performance of the proposed estimators. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 Auxiliary information nationallicence Empirical likelihood nationallicence Estimating equations nationallicence Smoothed estimating function nationallicence Symmetric distribution nationallicence Liu Xu Department of Statistics, Yunnan University, 650091, Kunming, China aut Ishfaq Ahmad Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/1(2011-01-01), 167-176 0168-9673 27:1<167 2011 27 10255 https://doi.org/10.1007/s10255-010-9318-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-010-9318-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Xu Department of Statistics, Yunnan University, 650091, Kunming, China aut NATIONALLICENCE 700 1- Ishfaq Ahmad Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/1(2011-01-01), 167-176 0168-9673 27:1<167 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer