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Two‐sample problems in statistical data modelling
Mathematical Modelling and Analysis, 2010 A common problem in mathematical statistics is to check whether two samples differ from each other. From modelling point of view it is possible to make a statistical test for the equality of two means or alternatively two distribution functions.
Janis Valeinis +2 more
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Estimation of Random Coefficient Autoregressive Model with Error in Covariates
AxiomsMeasurement error is common in many statistical problems and has received considerable attention in various regression contexts. In this study, we consider the random coefficient autoregressive model with measurement error possibly present in covariates.
Xiaolei Zhang, Jin Chen, Qi Li
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Empirical Likelihood for Multidimensional Linear Model with Missing Responses
Journal of Probability and Statistics, 2012 Imputation is a popular technique for handling missing data especially for plenty of missing values. Usually, the empirical log-likelihood ratio statistic under imputation is asymptotically scaled chi-squared because the imputing data are not i.i.d ...
Liping Zhu
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Empirical likelihood for quantile regression models with response data missing at random
Open Mathematics, 2017 This paper studies quantile linear regression models with response data missing at random. A quantile empirical-likelihood-based method is proposed firstly to study a quantile linear regression model with response data missing at random.
Luo S., Pang Shuxia
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Pseudo-Likelihood Theory for Empirical Likelihood
The Annals of Statistics, 1990 It is proved that, except for a location term, empirical likelihood does draw contours which are second-order correct for those of a pseudo-likelihood. However, except in the case of one dimension, this pseudo-likelihood is not that which would commonly be employed when constructing a likelihood-based confidence region.
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Empirical Likelihood for Linear Models
The Annals of Statistics, 1991 If one wants to test the hypothesis that independent random vectors \(Z_ 1, \dots,Z_ n\) are identically distributed with expected value \(\mu\) while otherwise this common distribution remains unspecified, one can use what the author calls the ``empirical likelihood ratio statistic'' \[ R(\mu) = \max \left\{ \prod^ n_{i = 1} np_ i \mid p_ i \geq 0 ...
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MathematicsThe present paper considers an empirical likelihood approach for testing equality of autocorrelation coefficients in two independent stationary time series.
Reinis Alksnis, Janis Valeinis
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Empirical Likelihood Methods for Sample Survey Data: An Overview
Austrian Journal of Statistics, 2016 The use of empirical likelihood (EL) in sample surveys dates back to Hartley and Rao (1968). In this paper, an overview of the developments in empirical likelihood methods for sample survey data is presented.
J.N.K. Rao
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Empirical-Likelihood-Based Inference for Partially Linear Models
MathematicsPartially linear models find extensive application in biometrics, econometrics, social sciences, and various other fields due to their versatility in accommodating both parametric and nonparametric elements.
Haiyan Su, Linlin Chen
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