Characteristic function and operator approach to M-indeterminate probability densities

TL;DR

This paper introduces a quantum-inspired method using characteristic functions and self-adjoint operators to construct and analyze classes of M-indeterminate probability densities.

Contribution

It presents a novel approach based on quantum mechanics concepts to study and generate M-indeterminate probability densities.

Findings

New methods for constructing M-indeterminate densities

Application of quantum mechanical tools to probability theory

Enhanced understanding of moment indeterminacy

Abstract

Based on a quantum mechanical approach, we investigate moment- (or M-) indeterminate probability densities by way of the characteristic function and self-adjoint operators. The approach leads to new methods to construct classes of M-indeterminate probability densities.