Receiver operating characteristic curves analysis; measurement error; optimal designs; regression models; censored data; change point problems; sequential analysis; statistical epidemiology; biostatistics; applications of Bayesian approaches to tests; asymptomatic methods of statistics; forecasting; sampling; optimal testing; nonparametric tests; empirical likelihoods; renewal theory; tauberian theorems; time series; categorical analysis; multivariate analysis; multivariate testing of complex hypotheses; factor and principal component analysis

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- Vexler, A., Gao, X., and Zhou, J. (2023). How to Implement Signed-rank wilcox.test () Type Procedures when A Center of Symmetry is Unknown.
*Computational Statistics and Data Analysis*. Accepted. **Vexler, A**. and Hutson, A. (2023). A Characterization of Most (More) Powerful Test Statistics with Simple Nonparametric Applications. T*he American Statistician.*Accepted.**Vexler, A.**and Zou, L. (2022). Linear Projections of Joint Symmetry and Independence Applied to Exact Testing Treatment Effects Based on Multidimensional Outcomes.*Journal of Multivariate Analysis*. Accepted.**Vexler, A**. (2020). Univariate Likelihood Projections and Characterizations of the Multivariate Normal Distribution.*Journal of Multivariate Analysis*. Accepted.**Vexler, A**. (2020). Valid p-Values and Expectations of p-Values Revisited.*Annals of the Institute of Statistical Mathematics*. Accepted.**Vexler, A**., Zou, L., and Hutson, A.D. (2019). The empirical likelihood prior applied to bias reduction of general estimating equations.*Computational Statistics and Data Analysis*. Accepted.- Zou, L.,
**Vexler, A.**, Yu, J., and Wan, H. (2019). A Sequential Density-Based Empirical Likelihood Ratio Test for Treatment Effects.*Statistics in Medicine*. Accepted. **Vexler, A**., Afendras, G., and Markatou, M. (2019). Multi-Panel Kendall Plot in Light of an ROC Curve Analysis Applied to Measuring Dependence.*Statistics: A Journal of Theoretical and Applied Statistics*. Accepted**Vexler, A.**and Yu J. (2018). "Empirical Likelihood Methods in Biomedicine and Health". Chapman & Hall/CRC Biostatistics Series. ISBN-10: 1466555033, ISBN-13: 978-1466555037- Gurevich G and
**Vexler A**. (2018). A density based empirical likelihood approach for testing bivariate normality. Journal of Statistical Computation and Simulation. Accepted **Vexler, A**. and Zou L. (2018). Empirical likelihood ratio tests with power one.*Statistics & Probability Letters*. Accepted.**Vexler, A**. and Yu, J. (2018). To t-Test or not To t-Test?: a P-Values-based Point of View in the ROC Curve Framework.*Journal of Computational Biology*. Accepted**Vexler, A.**and Hutson AD. (2018). “Statistics in the Health Sciences: Theory, Applications and Computing”. Chapman & Hall/CRC Biostatistics Series. ISBN-10: 1138196894; ISBN-13: 978-1138196896**Vexler, A.,**Yu J, Zhao Y, Hutson AD and Gurevich G. (2017). Expected P-values in Light of an ROC Curve Analysis Applied to Optimal Multiple Testing Procedures.*Statistical Methods in Medical Research*. Accepted.**Vexler, A.**, Zou L and Hutson A.D. (2016). An Extension to Empirical Likelihood for Evaluating Probability Weighted Moments.*Journal of Statistical Planning and Inference*. Accepted.**Vexler, A.,**Hutson AD and Chen X (2016). Statistical Testing Strategies in the Health Sciences (Chapman & Hall/CRC Biostatistics Series) (Chapman & Hall/CRC Biostatistics Series)**Vexler, A.**, Zou L and Hutson A (2016). Data-Driven Confidence Interval Estimation Incorporating Prior Information with an Adjustment for Skewed Data.*The American Statistician*. Accepted.**Vexler, A.**and Chen X (2016). Chapter 31: Statistical approaches to make decisions in clinical experiments. Oxidative Stress and Antioxidant Protection: The Science of Free Radical Biology & Disease, First Edition. Edited by Donald Armstrong and Robert D. Stsratton. (c) 2016 John Wiley & Sons, Inc. Published 2016 by John Wiley & Sons, Inc.**Vexler, A.**, Chen X and Hutson A (2015). Dependence and Independence: Structure and Inference.*Statistical Methods in Medical Research*. Accepted.- Chen X,
**Vexler, A.**and Markatou, M. (2014). Empirical Likelihood Ratio Confidence Interval Estimation of Best Linear Combinations of Biomarkers.*Computational Statistics and Data Analysis*. Accepted. **Vexler, A.**, Chen X and Yu J (2014). Evaluations and comparisons of treatment effects based on best combinations of biomarkers with applications to biomedical studies.*Journal of Computational Biology*. Accepted.**Vexler, A.**, Tao G and Hutson A (2014). Posterior expectation based on empirical likelihoods.*Biometrika*. Accepted.**Vexler, A.**, Tanajian H and Hutson AD (2014). Density-Based Empirical Likelihood Procedures for Testing Symmetry of Data Distributions and K-Sample Comparisons.*The STATA Journal*. Accepted.**Vexler, A.**, Tsai W-M, Hutson AD. (2014). A Simple Density-Based Empirical Likelihood Ratio Test for Independence.*The American Statistician*. Accepted.**Vexler A**, Young Min Kim, Jihnhee Yu, Nicole A. Lazar, Alan D. Hutson. (2014). Computing critical values of exact tests by incorporating Monte Carlo simulations combined with statistical tables.*Scandinavian Journal of Statistics.*Accepted.**Vexler A**, Tsai W-M, Gurevich G and Yu J. (2012). Two-Sample Density-Based Empirical Likelihood Ratio Tests Based on Paired Data, with Application to a Treatment Study of Attention-Deficit/Hyperactivity Disorder and Severe Mood Dysregulation.*Statistics in Medicine*. Accepted.**Vexler A**and GurevichG. (2011). A Note on Optimality of Hypothesis Testing.*Mathematics in Engineering, Science and Aerospace.*Vol. 2, No.3, 243-250.**Vexler A**, Tsai W-M, Malinovsky Y. (2011). Estimation and Testing Based on Data Subject to Measurement Errors: From Parametric to Non-Parametric Likelihood Methods.*Statistics in Medicine*. Accepted. DOI: 10.1002/sim.4304.**Vexler A**, Shan G, Kim S, Tasi W-M, Tian L and Hutson AD. (2011). An Empirical Likelihood Ratio Based Goodness-of-Fit Test for Inverse Gaussian Distributions.*Journal of Statistical Planning and Inference*. 141, 2181-2140.- Gurevich G and
**Vexler A**. (2011). A Two-Sample Empirical Likelihood Ratio Test Based on Samples Entropy.*Statistics and Computing.*In Press. DOl: 10.1007/s11222-101-9199-7. **Vexler A**, Yu J. (2011). Two-Sample Density-Based Empirical Likelihood Tests for Incomplete Data in Applications to a Pneumonia Study.*Biometrical Journal*. 53, 628-651.**Vexler A**, Yu J, Tian L and Liu S. (2010). Two-Sample Nonparametric Likelihood Inference Based on Incomplete Data with an Application to a Pneumonia Study.*Biometrical Journal.*52, 348-361.- Gurevich G and
**Vexler A.**(2010). Retrospective Change Point Detection: From Parametric to Distribution Free Policies.*Communications in Statistics*.*(Simulation and Computation)*. 38, 899-920. **Vexler A**and Gurevich G. (2009). Empirical Likelihood Ratios Applied to Goodness-of-Fit Tests Based on Sample Entrophy.*Computational Statistics and Data Analysis*. 54, 531-545.**Vexler A**, Liu S, Kange L and Hutson AD. (2009). Modifications of the Empirical Likelihood Interval Estimation with Improved Coverage Probabilities.*Communications in Statistics (Simulation and Computation)*. 38, 2171-2183**Vexler A**and Wu C. (2009). An Optimal Retrospective Change Point Detection Policy.*Scandinavian Journal of Statistics*. 36, 542-558**Vexler A**, Wu C, Liu A, Whitcomb BW and Schisterman EF. (2009). An extension of a change point problem.*Statistics*. 43:3, 213-225**Vexler A**, Wu C and Yu KF. (2008). Optimal Hypothesis Testing: From Semi to Fully Bayes Factors.*Metrika*. 71, 125-138.**Vexler A**. (2008). Martingale type statistics applied to change points detection.*Communications in Statistics (Theory and Methods)*. vol. 37, Issue 8, 1207-1224**Vexler A**., Liu A, Eliseeva E and Schisterman EF. (2008). Maximum Likelihood Ratio Tests for Comparing the Discriminatory Ability of Biomarkers Subject to Limit of Detection.*Biometrics*. 64, 895-903**Vexler A**, Schisterman EF and Liu A. (2007). Estimation of ROC based on stably distributed biomarkers subject to measurement error and pooling mixtures.*Statistics in Medicine*. 27:280-296.**Vexler A**, Liu A, Schisterman EF. (2006). Efficient Design and Analysis of Biospecimen with Measurements Subject to Detection Limit.*Biometrical Journal*48 5, 780-791- Mumford SL, Schisterman EF,
**Vexler A**, Liu A. (2006). Pooling Biospecimens and Limits of Detection: Effects on ROC Curve Analysis.*Biostatistics*7, 585-598 **Vexler A**, Liu A., Schisterman EF, Wu C. (2006). A Note on Distribution-Free Estimation of Maximum Linear Separation of Two Multivariate Distributions.*Journal of Nonparametric Statistics.**Vol. 18, N 2,*145-158**Vexler A**. (2006). Guaranteed testing for epidemic changes of a linear regression model.*Journal of Statistical Planning and Inference.*Vol. 136/9, 3101-3120- Schisterman EF,
**Vexler A**, Whitcomb BW, Liu A. (2006). The Limitations due to Exposure Detection Limits for Regression Models. American*Journal of Epidemiology*. Vol. 163, 374-383 - Gurevich G,
**Vexler A**. (2005). Change point problems in the model of logistic regression.*Journal of Statistical Planning and Inference*131/2, 313-331 - Swartz TB, Haitovsky Y,
**Vexler A**, Yang TY. (2004). bayesian identifiability and misclassification in multinomial data.*The Canadian Journal of Statistics*. Vol. 32, No. 3, pp.285-302 **Vexler A**. (2004). Approximations to generalized renewal measure.*Stochastic processes and their Applications*. vol. 113, issue 1, pp. 127-142**Vexler A**, Dmitrienko AA. (1999). Approximations to expected stopping times with applications to sequential estimation.*Sequential Analysis*. 18, 165-187.