Stepwise Likelihood Ratio Statistics in Sequential Studies
SummaryIt is well known that in a sequential study the probability that the likelihood ratio for a simple alternative hypothesis H1versus a simple null hypothesis H0 will ever be greater than a positive constant c will not exceed 1/c under H0. However, for a composite alternative hypothesis, this bound of 1/c will no longer hold when a generalized ...
Wenzheng Huang
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Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry
The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived.
María E. Castañeda, Daya K. Nagar
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Change Detection in Multilook Polarimetric SAR Imagery With Determinant Ratio Test Statistic [PDF]
In this article, we propose a determinant ratio test (DRT) statistic to measure the similarity of two covariance matrices for unsupervised change detection in polarimetric radar images.
Bouhlel, Nizar +2 more
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The asymptotic local structure of the Cox modified likelihood-ratio statistic for testing non-nested hypotheses [PDF]
It is shown that the Cox modified likelihood-ratio statistic for testing partially non-nested hypotheses H0 and H1 is asymptotically equivalent to a bilinear form in nondegenerate asymptotically normal random vectors for sequences of data-generating ...
Jerzy Szroeter, Szroeter, J.
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Restricted Likelihood Ratio Testing in Linear Mixed Models with General Error Covariance Structure [PDF]
We consider the problem of testing for zero variance components in linear mixed models with correlated or heteroscedastic errors. In the case of independent and identically distributed errors, a valid test exists, which is based on the exact finite ...
Sonja Greven +5 more
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Invariants and Likelihood Ratio Statistics
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McCullagh, P., Cox, D. R.
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Some Restricted Estimation and Testing Hypotheses Problem With Singularity Assumption [PDF]
The limiting distribution of the likelihood ratio statistic (LR) under a class of local alternatives as developed earlier by Davidson and Lever, is extended to the case of singular information matrices.
Naeem Soliman
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Empirical likelihood inference for threshold autoregressive conditional heteroscedasticity model
This paper considers the parameter estimation problem of a first-order threshold autoregressive conditional heteroscedasticity model by using the empirical likelihood method.
Cuixin Peng, Zhiwen Zhao
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Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price [PDF]
Recently, it has been shown that the density based empirical likelihood concept extends and standardizes these methods, presenting a powerful approach for approximating optimal parametric likelihood ratio test statistics.
Hadi Alizadeh Noughabi
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Generalized Correlation Coefficient Based on Log Likelihood Ratio Test Statistic
In this paper, I point out that both Joe’s and Ding’s strength statistics can only be used for testing the pair-wise independence, and I propose a novel G-square based strength statistic, called Liu’s generalized correlation coefficient, it can be used ...
Liu Hsiang-Chuan
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