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Published in 2019 at "Journal of Statistical Computation and Simulation"
DOI: 10.1080/00949655.2019.1628963
Abstract: ABSTRACT Length-biased data, which are often encountered in engineering, economics and epidemiology studies, are generally subject to right censoring caused by the research ending or the follow-up loss. The structure of length-biased data is distinct…
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Keywords:
length;
length biased;
right censored;
censored data ... See more keywords
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Published in 2019 at "Journal of the American Statistical Association"
DOI: 10.1080/01621459.2019.1611586
Abstract: Abstract Length-biased data are often encountered in cross-sectional surveys and prevalent-cohort studies on disease durations. Under length-biased sampling subjects with longer disease durations have greater chance to be observed. As a result, covariate values linked…
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Keywords:
length;
informative censoring;
estimator;
length biased ... See more keywords
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2016.1205621
Abstract: ABSTRACT In this article we prove a central limit theorem for the Lp distance where μ is a weight function and fn is the kernel density estimator proposed by Jones (1991) for length-biased data. The…
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Keywords:
kernel density;
distance;
length biased;
density estimator ... See more keywords
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Published in 2020 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2020.1737123
Abstract: Abstract In this article, we propose an estimator of Shannon entropy based on kernel estimators of density function in length-biased setting. The strong consistency of the proposed estimators is established. In addition, some simulations are…
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Keywords:
strong consistency;
shannon entropy;
length biased;
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Published in 2020 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2020.1791340
Abstract: Abstract We consider the nonparametric analysis of length-biased and right-censored data (LBRC) by quantile difference. With its desirable properties such as superior robustness and easy interpretation, quantile difference has been widely used in practice, in…
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Keywords:
biased right;
estimation;
length biased;
difference ... See more keywords
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Published in 2017 at "Journal of Nonparametric Statistics"
DOI: 10.1080/10485252.2017.1339309
Abstract: ABSTRACT Length-biased data are a particular case of weighted data, which arise in many situations: biomedicine, quality control or epidemiology among others. In this paper we study the theoretical properties of kernel density estimation in…
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Keywords:
length biased;
biased data;
bandwidth selection;
kernel density ... See more keywords
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Published in 2022 at "Entropy"
DOI: 10.3390/e24081033
Abstract: In this article, a new one parameter survival model is proposed using the Kavya–Manoharan (KM) transformation family and the inverse length biased exponential (ILBE) distribution. Statistical properties are obtained: quantiles, moments, incomplete moments and moment…
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Keywords:
length biased;
inverse;
inverse length;
model ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14101965
Abstract: The notion of length-biased distribution can be used to develop adequate models. Length-biased distribution was known as a special case of weighted distribution. In this work, a new class of length-biased distribution, namely the two-sided…
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Keywords:
length biased;
biased inverse;
distribution;
sided length ... See more keywords