统计建模的LP方法
LP Approach to Statistical Modeling
摘要:
我们提出了一种称为“LP统计数据科学”的统计数据建模和探索性数据分析方法。它旨在概括和统一传统和新颖的统计措施,方法和探索工具。本文概述了基本概念以及真实数据示例,以说明“LP统计算法”如何在连贯的理论框架下系统地处理不同的数据类型,数据模式和数据结构。一个基本的作用是由随机变量X的特殊设计的规范正交基,用于X的一般函数的线性(希尔伯特空间理论)表示,如$\mbox{E}[Y \mid X]$。
英文摘要:
We present an approach to statistical data modeling and exploratory data analysis called `LP Statistical Data Science.' It aims to generalize and unify traditional and novel statistical measures, methods, and exploratory tools. This article outlines fundamental concepts along with real-data examples to illustrate how the `LP Statistical Algorithm' can systematically tackle different varieties of data types, data patterns, and data structures under a coherent theoretical framework. A fundamental role is played by specially designed orthonormal basis of a random variable X for linear (Hilbert space theory) representation of a general function of X, such as $\mbox{E}[Y \mid X]$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。