0000000000425060

AUTHOR

George Luta

Confidence Intervals for the Mean Based on Exponential Type Inequalities and Empirical Likelihood

For independent observations, recently, it has been proposed to construct the confidence intervals for the mean using exponential type inequalities. Although this method requires much weaker assumptions than those required by the classical methods, the resulting intervals are usually too large. Still in special cases, one can find some advantage of using bounded and unbounded Bernstein inequalities. In this paper, we discuss the applicability of this approach for dependent data. Moreover, we propose to use the empirical likelihood method both in the case of independent and dependent observations for inference regarding the mean. The advantage of empirical likelihood is its Bartlett correcta…

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Personality, coping, and social support as predictors of long-term quality-of-life trajectories in older breast cancer survivors: CALGB protocol 369901 (Alliance)

Background To determine long-term quality-of-life (QOL) trajectories among breast cancer survivors aged 65+ (older) evaluating the effects of personality and social support. Methods Older women (N = 1280) newly examined with invasive, nonmetastatic breast cancer completed baseline assessments. Follow-up data were collected 6 and 12 months later and then annually for up to 7 years (median 4.5 years). Quality of life was assessed using EORTC-QLQ-C30 emotional, physical, and cognitive scales. Optimism (Life Orientation Test), Coping (Brief COPE), and social support (Medical Outcomes Study) were assessed at baseline. Group-based trajectory modeling identified QOL trajectories; multinomial regre…

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Empirical Likelihood-Based ANOVA for Trimmed Means

In this paper, we introduce an alternative to Yuen’s test for the comparison of several population trimmed means. This nonparametric ANOVA type test is based on the empirical likelihood (EL) approach and extends the results for one population trimmed mean from Qin and Tsao (2002). The results of our simulation study indicate that for skewed distributions, with and without variance heterogeneity, Yuen’s test performs better than the new EL ANOVA test for trimmed means with respect to control over the probability of a type I error. This finding is in contrast with our simulation results for the comparison of means, where the EL ANOVA test for means performs better than Welch’s heteroscedastic…

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