Statistical Distribution Estimation and Applications

TAUS: Target-Age Unified Survival. Survival analysis without assuming proportional hazards or parameterising the survival function.

The paper introduces TAUS, a survival analysis method that avoids proportional hazards and parametric assumptions, enabling comparison of survival probabilities across populations with different age structures and life histories.

Dirichlet distribution parameter estimation with application in microbiome analyses

This paper proposes using the Dirichlet distribution to model microbiome relative abundances and compares estimation methods, finding that Dirichlet MLE is computationally efficient and comparable to BDME.

Estimating extreme displacements under a Lomax generalized linear model framework: the role of sample size and threshold choice

This study evaluates methods for estimating rare ecological events using extreme value distributions, finding threshold models perform best and bias correction is sample size dependent.

Equi-Under-Dispersed Possion Distribution (EUPoisson)

The paper introduces an Equi-Under-Dispersed Poisson distribution for modeling under-dispersed count data and compares its performance to existing methods using real data.

A bivariate zero-inflated negative binomial model and its applications to biomedical settings

The paper develops a bivariate zero-inflated negative binomial model and applies it to analyze zero-inflated count data from scRNA-seq and dental caries studies.