On the discretization of probability density functions and the continuous Rényi entropy

Pramana

Diógenes Campos1¹ 

[1] Academia Colombiana de Ciencias Exactas, Físicas y Naturales, ACCEFYN, Bogotá, Colombia$$

关键词: Probability density function;    Rényi entropy;    differential (continuous) entropy;    discretization method;    mean-value theorem for integrals.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

On the basis of second mean-value theorem (SMVT) for integrals, a discretization method is proposed with the aim of representing the expectation value of a function with respect to a probability density function in terms of the discrete probability theory. This approach is applied to the continuous Rényi entropy, and it is established that a discrete probability distribution can be associated to it in a very natural way. The probability density functions for the linear superposition of two coherent states is used for developing a representative example.

【 授权许可】

Unknown