Alexsander Vardy

Title: Alexsander Vardy

Research Question: How can we estimate the probability of an event given two types of recognition objects and their respective variables?

Methodology: The study proposes a method to estimate the probability of an event (A) given two types of recognition objects (X1 and X2) and their respective variables. The method uses joint probability density functions (h(x1, x2)) and conditional probability density functions (h1(x1), h2(x2)) to calculate the probability. It also introduces the concept of monotonously nondecreasing probability distribution functions (H1(x1), H2(x2), H1(x1), and H2(x2)) and their inverse functions (H−1 1(x1), H−1 2(x2)). The study defines a function J(a, b) to represent the joint probability density function of the two types of recognition objects.

Results: The study derives a formula to calculate the probability of an event given two types of recognition objects and their respective variables. The formula is based on the joint probability density function (h(x1, x2)) and the conditional probability density functions (h1(x1), h2(x2)). The study also presents restrictions on the functions J(a, b) and J(a, b), such as non-negativity and normalization.

Implications: The method proposed in this study can be widely used in image recognition and other artificial intelligence applications. It provides a systematic way to estimate the probability of an event given two types of recognition objects and their respective variables. The study also contributes to the field by introducing new concepts and techniques for probability estimation.

Link to Article: https://arxiv.org/abs/0202020v1 Authors: arXiv ID: 0202020v1