4 papers
The Shift Operator Calculus for Stationary Time Series Analysis
Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan
The article establishes a rigorous shift operator calculus for stationary time series modeling, addressing a certain gap in the literature. It provides proofs of existence and isom…
On an norm for stationary ARMA processes
Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan
We propose an norm for stationary Autoregressive Moving Average (ARMA) models. We look at ARMA models within the Hilbert space of the past with present of a true purely linea…
Schauder Bases for Using ReLU, Softplus and Two Sigmoidal Functions
Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan
We construct four Schauder bases for the space , one using ReLU functions, another using Softplus functions, and two more using sigmoidal versions of the ReLU and Softplus…
A Singular Integral for a Simplified Clairaut Equation
Anand Ganesh, Anand Rajagopalan
This expository article on the Lagrange singular integral contains two novelties. The first novelty involves a connection between the Lagrange singular integral for a simplified Cl…