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Likelihood Ratio Gradient Estimation for Stochastic Recursions
Likelihood Ratio Gradient Estimation Stochastic Recursions
2015/7/8
In this paper, we develop mathematical machinery for verifying that a broad class of general state space Markov chains reacts smoothly to certain types of perturbations in the underlying transition st...
Residual variance and the signal-to-noise ratio in high-dimensional linear models
Asymptoticnormality,high-dimensionaldataanalysis Poincar!a inequality randommatrices residualvariance signal-to-noiseratio
2012/11/21
Residual variance and the signal-to-noise ratio are important quantities in many statistical models and model fitting procedures. They play an important role in regression diagnostics, in determining ...
Golden Ratio estimate of success probability based on one and only sample
Golden ratio Bayes estimate Unique sample Triangle prior
2012/9/19
This paper proposes iterative Bayesian method to estimate success probability based on unique sample. The procedure is replacing the distribution characteristic of prior with Bayes estimate on the eve...
New semiparametric stationarity tests based on adaptive multidimensional increment ratio statistics
Gaussian fractionally integrated processes Adaptive semiparametric estimators of the meme-ory parameter test of long-memory stationarity test unit root test.
2012/9/19
In this paper, we show that the adaptive multidimensional increment ratio estimator of the long range memory parameter defined in Bardet and Dola (2012) satisfies acentral limit theorem (CLT in the se...
Relative Density-Ratio Estimation for Robust Distribution Comparison
Density ratio Pearson divergence Outlier detection
2011/7/6
Divergence estimators based on direct approximation of density-ratios without going through separate approximation of numerator and denominator densities have been successfully applied to machine lear...
Generalized Likelihood Ratio Statistics and Uncertainty Adjustments in Efficient Adaptive Design of Clinical Trials
Hoeffding’s information bound Internal pilot Kullback-Leibler information Modified Haybittle-Peto test Multiparameter exponential family Sample size re-estimation
2011/6/20
A new approach to adaptive design of clinical trials is proposed in a general multi-
parameter exponential family setting, based on generalized likelihood ratio statistics and optimal
sequential tes...
The Asymptotic Covariance Matrix of the Odds Ratio Parameter Estimator in Semiparametric Log-bilinear Odds Ratio Models
Odds ratio asymptotic covariance matrix conditional sampling semiparametric log-linear models log-bilinear association logistic regression linear regression
2011/6/16
The association between two random variables is often of primary interest in statistical
research. In this paper semiparametric models for the association between random
vectors X and Y are consider...
Likelihood ratio type two-sample tests for current status data
Nonparametric two sample tests current status data likelihood ratio Weibull distribu-tions
2011/3/24
We introduce fully nonparametric two sample tests for testing the null hypothesis that the two samples come from the same distribution if the values are only indirectly given via current status censor...
Likelihood ratio type two-sample tests for current status data
Nonparametric two sample tests current status data, likelihood ratio Weibull distribu-tions
2011/3/23
We introduce fully nonparametric two sample tests for testing the null hypothesis that the two samples come from the same distribution if the values are only indirectly given via current status censor...
A diffusion equation for the density of the ratio of Gaussian variables and the numerical inversion of Laplace transform
parabolic equations random matrices kernel estimation
2011/3/21
It is shown that the density of the ratio of two Gaussian random variables with the same variance satisfies a non stationary diffusion equation. Implications of this result for kernel density estimati...
Intensive natural distribution as Bernoulli success ratio extension to continuous: enhanced Gaussian, continuous Poisson, and phenomena explanation
Intensive natural distribution as Bernoulli success ratio extension continuous Poisson phenomena explanation
2011/3/18
A new distribution called intensive natural distribution is introduced with the intent of merging statistics and empirical data. Based on the probability derived from the Bernoulli distribution, this ...
Adaptive estimator of the memory parameter and goodness-of-fit test using a multidimensional increment ratio statistic
Long-memory Gaussian processes goodness-of-fit test estimation of the memory parameter
2010/10/14
The Increment Ratio (IR) statistic was first defined and studied in Surgailis {\it et al.} (2008) for estimating the long-memory parameter either of a stationary or an increment stationary Gaussian p...
Reconsidering the asymptotic null distribution of likelihood ratio tests for genetic linkage in multivariate variance components models
asymptotic null distribution likelihood ratio test mixing probabilities multivariate linkage
2010/4/30
Accurate knowledge of the null distribution of hypothesis tests is important for valid application of the tests. In previous papers and software, the asymptotic null distribution of likelihood ratio t...
Modified population-to-physician ratio method to project future physician requirement in Thailand
population ratio physician requirement manpower planning health futures
2009/10/15
This paper modified the population-to-physician ratio method, by taking into account the specific characteristics of the Thai health care system, and of the future economic scenarios to project requir...
Corrected Likelihood Ratio Tests in Class of Symmetric Linear Regression Models
Likelihood Ratio Tests Symmetric Linear Regression Models
2009/9/18
Corrected Likelihood Ratio Tests in Class of Symmetric Linear Regression Models。