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Article
Empirical likelihood for spatial cross-sectional data models with matrix exponential spatial specification
In this paper, we study spatial cross-sectional data models in the form of matrix exponential spatial specification (MESS), where MESS appears in both dependent and error terms. The empirical likelihood (EL) r...
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Article
Empirical likelihood for response differences in two linear regression models with missing data
Consider two linear models X i = U′ i β + ε ...
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Article
Joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples
In this paper, we obtain the joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples. As an application of this result, the empirical likelihood confidence in...
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Article
Empirical likelihood for quantiles under associated samples
The construction of confidence intervals for quantiles of a population under a associated sample is studied by using the blockwise technique. It is shown that the blockwise empirical likelihood (EL) ratio stat...
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Article
Estimation for partially linear models with missing responses: the fixed design case
Suppose that we have a partially linear model Y i = x i ′β + g(t i ...
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Article
Empilrical likelihood for non-parametric regression models with missing responses: Multiple design case
Empirical likelihood (EL) ratio statistic on θ = g(x) is constructed based on the inverse probability weighted imputation approach in a nonparametric regression model Y = g(x)+ɛ (x ∈ [0, 1] p ...
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Article
Semi-empirical likelihood confidence intervals for the differences of quantiles with missing data
Detecting population (group) differences is useful in many applications, such as medical research. In this paper, we explore the probabilistic theory for identifying the quantile differences between two popula...
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Article
Empirical likelihood confidence intervals for the differences of quantiles with missing data
Suppose that there are two nonparametric populations x and y with missing data on both of them. We are interested in constructing confidence intervals on the quantile differences of x and y. Random imputation is ...
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Article
Modified likelihood ratio test for homogeneity in normal mixtures with two samples
This paper investigates the modified likelihood ratio test(LRT) for homogeneity in normal mixtures of two samples with mixing proportions unknown. It is proved that the limit distribution of the modified likel...
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Article
The empirical likelihood goodness-of-fit test for regression model
Goodness-of-fit test for regression modes has received much attention in literature. In this paper, empirical likelihood (EL) goodness-of-fit tests for regression models including classical parametric and auto...
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Article
Coverage Accuracy of Confidence Intervals in Nonparametric Regression
Point-wise confidence intervals for a nonparametric regression function with random design points are considered. The confidence intervals are those based on the traditional normal approximation and the empiri...