Techniques of Discrete Function Transfers into Continuous Function in Practice

• 作者: Ming-Jong Lin
• 来源期刊: 工程(英文)(1947-3931)
• 学科: 数学
• 关键词: PROBABILITY MASS FUNCTION DISCRETE CUMULATIVE FUNCTION Continuous CUMULATIVE FUNCTION PROBABILITY Density FUNCTION The Least SQUARES Algorithm
• 年，卷（期）: 2018,（10）
• 页码范围: 680-687
• 页数: 8页
• 分类号: O1

摘要

One confusing question over a long period of time is how transfer the discrete function transfers into continuous function. Recently the issue has been resolved but some details of the transformation process will be introduced in the paper. The correlation coefficients of 100,000 values are established from the two groups of data with the range between -1 and 1, creating a histogram from these correlation coefficient values known as “the probability mass function.” The coefficient values are brought into the discrete distribution function, so that transfers into the discrete cumulative function, next converted into a continuous cumulative function, next which is differentiated to get the density function, so that it is easy to being research analysis. A model will be established during the process of the conversion what the medium is “the least squares algorithm.” Finally, when the integral of the area within the range of the density function equals to 1, this implies that the transformation complete succeeds from the discrete function to the continuous function.