Probabilistic and machine learning generative models
Replicated (multiple view) spatial point pattern - application to spatial multi-omics
Methods for analyzing cellular, molecular, and spatial data.
Multiple (structured) count matrices - application to microbiome multi-omics data
Methods for analyzing microbiome multi-omics.
Count matrix analysis - application to molecular microbial data
Methods for analyzing marker-gene and shotgun metagenomics data.
Multivariate Saddlepoint-Based Bootstrap Method (MSPBB)
Deriving a class of statistical methods, bivariate SPBB which is an indirect method to construct a confidence region for the parameter(s) of interest.
Saddlepoint Approximation for Bivariate Cumulative Distribution Function
Deriving the formula for the variable in saddlepoint approximation for bivariate cumulative distribution function.
Empirical Saddlepoint Approximations (ESPA) for Smoothing Survival Functions Under Right Censoring
Deriving a class of statistical methods to estimate a smooth survival curve sought to extend the empirical saddlepoint method based on the Kaplan-Meier (KM) estimator.
Multivariate Saddlepoint Density Approximation (MSAP)
Estimating the joint density of Yule-Walker (YW) estimators by inverting the joint saddlepoint density of the YW estimating equations in an AR(2) model.
Saddlepoint-Based Bootstrap Method (SPBB)
Indirect inference about the spatial dependence parameter in the spatial regression model through estimating equation.