Mathematical Statistics

Japanese: 数理統計学 - スウリトウケイガク
Mathematical Statistics
A branch of applied mathematics that studies the mathematical aspects of statistics. It is broadly divided into descriptive statistics, which describes the statistical properties of an observed population, and stochastics, which infers the state of a population based on probability theory from samples extracted from the population.

Source: About Shogakukan Digital Daijisen Information | Legend

Japanese:
統計学の数学的側面について研究する応用数学の一分野。観察対象となる母集団の統計的性質を記述する記述統計学と、母集団から抽出した標本から確率論に基づいて母集団の状態を推測する推計学に大別される。

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