10 papers
A novel characterization of structures in smooth regression curves: from a viewpoint of persistent homology
Satish Kumar, Subhra Sankar Dhar
We characterize structures such as monotonicity, convexity, and modality in smooth regression curves using persistent homology. Persistent homology is a key tool in topological dat…
Modeling of Pneumococcal and Respiratory Syncytial Virus Pneumonia: An Epidemiological Review, with Statistical Inference
Rupchand Sutradhar, Anuj Mishra, Malay Banerjee +1
Infectious diseases continue to pose significant public health challenges worldwide, requiring effective prevention and control strategies to mitigate their negative impact. Infect…
Identifying Topological Differences in Two Populations of Random Geometric Objects
Satish Kumar, Subhra Sankar Dhar
We propose a statistical framework to identify topological differences in two populations of random geometric objects. The proposed framework involves first associating a topologic…
A Robust Persistent Homology : Trimming Approach
Tuhin Subhra Mahato, Subhra Sankar Dhar
This article studies the robust version of persistent homology based on trimming methodology to capture the geometric feature through support of the data in presence of outliers. P…
Least Square Estimation: SDEs Perturbed by Lévy Noise with Sparse Sample Paths
Brijesh Kumar Jha, Subhra Sankar Dhar, Akash Ashirbad Panda
This article investigates the least squares estimators (LSE) for the unknown parameters in stochastic differential equations (SDEs) that are affected by Lévy noise, particularly w…
Identifying arbitrary transformation between the slopes in scalar-on-function regression
Pratim Guha Niyogi, Subhra Sankar Dhar
In this article, we study whether the slope functions of two scalar-on-function regression models in two samples are associated with any arbitrary transformation along the vertical…