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Inductive behavior is a term used to describe the process of making decisions under uncertainty, where the consequences depend on the unknown state of nature.
归纳行为是一个用来描述在不确定性下做出决策的过程的术语,其后果取决于未知的自然状态。
耶日·内曼
The problem of estimation is of a different nature. Here we are not concerned with testing a particular hypothesis, but with estimating the value of a parameter.
估计问题的性质不同。在这里,我们不关心检验特定的假设,而是关心估计参数的值。
耶日·内曼
The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference, but equally, no other thinking person can avoid a like obligation.
统计学家不能推卸理清科学推断原理的责任,同样,其他任何有思考能力的人也不能逃避类似的义务。
耶日·内曼
The field of statistics is the study of how to make decisions in the face of uncertainty.
统计学领域研究的是如何在不确定性面前做出决策。
耶日·内曼
The problem of estimation is of a different nature than the problem of testing statistical hypotheses.
估计问题的性质与检验统计假设的问题不同。
耶日·内曼
Inductive behavior is a mode of behavior, not a mode of reasoning.
归纳行为是一种行为模式,而不是推理模式。
耶日·内曼
The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference.
统计学家不能推卸责任,必须清楚地理解科学推断的原则。
耶日·内曼
The probable error of a correlation coefficient is not a fixed quantity, but depends upon the size of the sample.
相关系数的可能误差不是一个固定的量,而是取决于样本的大小。
威廉·戈塞特
The probable error of a correlation coefficient is not a thing which can be deduced from first principles, but must be found empirically.
相关系数的可能误差不是可以从第一原理推导出来的东西,而是必须通过经验找到的。
威廉·戈塞特
The probable error of a correlation coefficient obtained from a sample of n pairs of observations is sqrt((1-r²)/(n-2)).
从n对观测值的样本中获得的相关系数的可能误差是sqrt((1-r²)/(n-2))。
威廉·戈塞特
The value of a problem is not so much coming up with the answer as in the ideas and attempted ideas it forces on the would-be solver.
一个问题的价值与其说在于得出答案,不如说在于它迫使潜在的解决者产生的想法和尝试的想法。
安德雷·柯尔莫哥洛夫
The aim of science is, on the one hand, a comprehension, as complete as possible, of the connection between the sense experiences in their totality, and, on the other hand, the accomplishment of this aim by the use of a minimum of primary concepts and relations.
科学的目标一方面是尽可能全面地理解感觉经验之间的联系,另一方面是通过使用最少的基本概念和关系来实现这一目标。
安德雷·柯尔莫哥洛夫
The theory of functions of a real variable is a powerful tool for the study of fundamental problems in natural science.
安德雷·柯尔莫哥洛夫
The value of a problem is not so much in coming up with the answer as in the ideas and attempted ideas it forces on the would-be solver.
安德雷·柯尔莫哥洛夫
In mathematics, we do not understand things. We just get used to them.
安德雷·柯尔莫哥洛夫
Every mathematician believes that he is ahead of the others. The reason none state this belief in public is because they are intelligent people.
安德雷·柯尔莫哥洛夫
The theory of probability as a mathematical discipline can and should be developed from axioms in exactly the same way as Geometry and Algebra.
概率论作为一门数学学科,可以而且应该像几何和代数一样从公理出发进行发展。
安德雷·柯尔莫哥洛夫
The classification of facts and the formation of absolute judgments upon the basis of this classification—judgments independent of the idiosyncrasies of the individual mind—essentially sum up the aim and method of modern science.
事实的分类以及基于这种分类形成绝对判断——独立于个体思维特性的判断——本质上总结了现代科学的目标和方法。
卡尔·皮尔逊
The scientific method is one and indivisible, and the method of the sciences which deal with living matter is identical with that of the sciences which deal with inorganic matter.
科学方法是统一且不可分割的,处理生命物质的科学与处理无机物质的科学方法相同。
卡尔·皮尔逊
The classification of facts and the recognition of their sequence and relative significance is the function of science.
对事实进行分类并认识它们的顺序和相对重要性是科学的功能。
卡尔·皮尔逊
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