6 papers
Sum of two rare sets in a category base can be absolutely non-baire
Sanjib Basu, abhit Chandra Pramanik
In this paper, we give generalized version in category bases of a result of Kharazishvili dealing with absolute nonmeasurability of the Minkowski sum of certain universal measure z…
Restricted Mean Survival Time Estimation Using Bayesian Nonparametric Dependent Mixture Models
Ruizhe Chen, Sanjib Basu, Qian Shi
Restricted mean survival time (RMST) is an intuitive summary statistic for time-to-event random variables, and can be used for measuring treatment effects. Compared to hazard ratio…
On topological sigma-ideals
Sanjib Basu, Debasish Sen
The concept of -topological -ideal in measurable space was introduced by Hejduk and using a theorem of Wagner on convergence of measurable function…
A note on sets avoiding rational distances in category bases
Sanjib Basu, Abhit Chandra Pramanik
Michalski gave a short and elegant proof of a theorem of A. Kumar which states that for each set A in R, there exists a subset B of A which is full in A and such that no distance b…
Generalization of two theorems of Steinhaus in category bases
Sanjib Basu, Abhit Chandra Pramanik
Here we unify two results of Steinhaus and their corresponding category analogues by extending them in the settings of category bases. We further show that in any perfect translati…
Bayesian Functional Data Analysis over Dependent Regions and Its Application for Identification of Differentially Methylated Regions
Suvo Chatterjee, Shrabanti Chowdhury, Duchwan Ryu +1
We consider a Bayesian functional data analysis for observations measured as extremely long sequences. Splitting the sequence into a number of small windows with manageable length,…