caa a22 4500 605476098 CHVBK 20210128100354.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10985-014-9297-5 doi (NATIONALLICENCE)springer-10.1007/s10985-014-9297-5 Statistical inference based on the nonparametric maximum likelihood estimator under double-truncation [Elektronische Daten] [Takeshi Emura, Yoshihiko Konno, Hirofumi Michimae] Doubly truncated data consist of samples whose observed values fall between the right- and left- truncation limits. With such samples, the distribution function of interest is estimated using the nonparametric maximum likelihood estimator (NPMLE) that is obtained through a self-consistency algorithm. Owing to the complicated asymptotic distribution of the NPMLE, the bootstrap method has been suggested for statistical inference. This paper proposes a closed-form estimator for the asymptotic covariance function of the NPMLE, which is computationally attractive alternative to bootstrapping. Furthermore, we develop various statistical inference procedures, such as confidence interval, goodness-of-fit tests, and confidence bands to demonstrate the usefulness of the proposed covariance estimator. Simulations are performed to compare the proposed method with both the bootstrap and jackknife methods. The methods are illustrated using the childhood cancer dataset. Springer Science+Business Media New York, 2014 Asymptotic variance nationallicence Bootstrap nationallicence Confidence band nationallicence Goodness-of-fit test nationallicence Survival analysis nationallicence Emura Takeshi Graduate Institute of Statistics, National Central University, Zhongli, Taiwan aut Konno Yoshihiko Department of Mathematical and Physical Sciences, Japan Women's University, Tokyo, Japan aut Michimae Hirofumi Department of Clinical Medicine (Biostatistics), School of Pharmacy, Kitasato University, Tokyo, Japan aut Lifetime Data Analysis Springer US; http://www.springer-ny.com 21/3(2015-07-01), 397-418 1380-7870 21:3<397 2015 21 10985 https://doi.org/10.1007/s10985-014-9297-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10985-014-9297-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Emura Takeshi Graduate Institute of Statistics, National Central University, Zhongli, Taiwan aut NATIONALLICENCE 700 1- Konno Yoshihiko Department of Mathematical and Physical Sciences, Japan Women's University, Tokyo, Japan aut NATIONALLICENCE 700 1- Michimae Hirofumi Department of Clinical Medicine (Biostatistics), School of Pharmacy, Kitasato University, Tokyo, Japan aut NATIONALLICENCE 773 0- Lifetime Data Analysis Springer US; http://www.springer-ny.com 21/3(2015-07-01), 397-418 1380-7870 21:3<397 2015 21 10985