A matching prior based on the modified profile likelihood for the common mean in multiple log-normal distributions
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DOI: 10.1007/s00362-017-0950-4
Abstract: In this paper, we develop a matching prior for the common mean in several log-normal distributions. For this problem, assigning priors appropriately for the common log-normal mean is challenging owing to the presence of nuisance… read more here.
Keywords: log normal; common mean; normal distributions; prior based ... See more keywords
Estimation of a common mean vector in bivariate meta-analysis under the FGM copula
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DOI: 10.1080/02331888.2019.1581782
Abstract: ABSTRACT We propose a bivariate Farlie–Gumbel–Morgenstern (FGM) copula model for bivariate meta-analysis, and develop a maximum likelihood estimator for the common mean vector. With the aid of novel mathematical identities for the FGM copula, we… read more here.
Keywords: common mean; bivariate; bivariate meta; fgm copula ... See more keywords
Linearly admissible estimators of the common mean parameter under balanced loss function
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DOI: 10.1080/03610926.2013.786783
Abstract: ABSTRACT Admissibility of linear estimators of the common mean parameter is investigated in the context of a linear model under balanced loss function. Sufficient and necessary conditions for linear estimators to be admissible in classes… read more here.
Keywords: mean parameter; balanced loss; estimators common; common mean ... See more keywords
Improved estimation of quantiles of two normal populations with common mean and ordered variances
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2019.1604964
Abstract: Abstract Estimation of quantiles from two normal populations is considered under the assumption of common mean and ordered variances. Several new estimators have been proposed using certain estimators of the common mean, including the plug-in… read more here.
Keywords: two normal; mean ordered; estimation quantiles; common mean ... See more keywords
A Meta-Analysis for Simultaneously Estimating Individual Means with Shrinkage, Isotonic Regression and Pretests
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DOI: 10.3390/axioms10040267
Abstract: Meta-analyses combine the estimators of individual means to estimate the common mean of a population. However, the common mean could be undefined or uninformative in some scenarios where individual means are “ordered” or “sparse”. Hence,… read more here.
Keywords: individual means; isotonic regression; analysis simultaneously; common mean ... See more keywords
Consistency of the Estimator for the Common Mean in Fixed-Effect Meta-Analyses
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DOI: 10.3390/axioms12050503
Abstract: Fixed-effect meta-analyses aim to estimate the common mean parameter by the best linear unbiased estimator. Besides unbiasedness, consistency is one of the most fundamental requirements for the common mean estimator to be valid. However, conditions… read more here.
Keywords: meta analyses; common mean; fixed effect; effect meta ... See more keywords
Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions
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DOI: 10.3390/sym15010067
Abstract: In this study, we propose estimates for the confidence interval for the common mean of several zero-inflated gamma (ZIG) distributions based on the fiducial generalized confidence interval (GCI) and Bayesian and highest posterior density (HPD)… read more here.
Keywords: several zero; mean several; confidence interval; common mean ... See more keywords