Based on the proof of the joint density function and the edge density function of the recorded value sample below

It has been decades since the concept of recorded values was given. When the concept of recorded value was first given, it immediately aroused the strong interest of scholars from all walks of life around the world, and the natural sciences and social sciences have their places. Due to the superior nature of the recorded value, scholars from all walks of life have gradually gained a deeper understanding of it and promoted it to many fields, such as: computers, sports competition, human physiological limits and weather forecasting, etc. The results of these fields so far are inseparable from the contribution of recorded values. This paper uses the recorded value as the study sample to discuss the specific results of the joint density function and the edge density function, to facilitate the in-depth study of the recorded values.