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撤销普天星相（讨论）的版本14168
Some key concepts and terms, widely used in the literature on the topic of probability distributions, are listed below.<ref name=":02" />
Some key concepts and terms, widely used in the literature on the topic of probability distributions, are listed below.<ref name=":02" />
Some key concepts and terms, widely used in the literature on the topic of probability distributions, are listed below.
Some key concepts and terms, widely used in the literature on the topic of probability distributions, are listed below. the regions close to the bounds of the random variable, if the pmf or pdf are relatively low therein. Usually has the form X > a, X < b or a union thereof.
一些关键的，广泛用于以概率分布为主题的文献中的概念和术语，列出如下。
一些关键的，广泛用于以概率分布为主题的文献中的概念和术语，列出如下。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此处英文后半句应位于下文，重复出现。
=== '''<font color="#ff8000"> Functions for discrete variables 离散变量函数</font>'''===
=== '''<font color="#ff8000"> Functions for discrete variables 离散变量函数</font>'''===
*'''[[Frequency distribution]]''': a table that displays the frequency of various outcomes '''in a sample'''.
*'''[[Frequency distribution]]''': a table that displays the frequency of various outcomes '''in a sample'''.
'''<font color="#ff8000"> 频率分布 Frequency Distribution</font>'''：显示样本中各种结果的频率的表格。
'''<font color="#ff8000"> 频率分布 Frequency Distribution</font>'''：显示样本中各种结果的频率的表格。
For a discrete random variable X, let u0, u1, ... be the values it can take with non-zero probability. Denote
对于一个离散的随机变量 x，设 u0，u1，... 是它在非零概率情况下可以取的值。表示
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此句应位于下文，重复出现。
*'''Relative frequency distribution''': a [[frequency distribution]] where each value has been divided (normalized) by a number of outcomes in a [[Sample (statistics)|sample]] i.e. sample size.
*'''Relative frequency distribution''': a [[frequency distribution]] where each value has been divided (normalized) by a number of outcomes in a [[Sample (statistics)|sample]] i.e. sample size.
* '''[[Probability density function]] (pdf):''' function whose value at any given sample (or point) in the [[sample space]] (the set of possible values taken by the random variable) can be interpreted as providing a ''relative likelihood'' that the value of the random variable would equal that sample.
* '''[[Probability density function]] (pdf):''' function whose value at any given sample (or point) in the [[sample space]] (the set of possible values taken by the random variable) can be interpreted as providing a ''relative likelihood'' that the value of the random variable would equal that sample.
'''<font color="#ff8000"> 概率密度函数（pdf）Probability Density function</font>'''：可以将其在样本空间中任意给定样本（或点）上的值（随机变量可能获得的一组值）的值解释为提供随机变量值将具有的相对可能性的函数等于那个样本。
'''<font color="#ff8000"> 概率密度函数（pdf）Probability Density function</font>'''：可以将其在样本空间中任意给定样本（或点）上的值（随机变量可能获得的一组值）的值解释为提供随机变量值将具有的相对可能性的函数等于那个样本。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此句改为“在样本空间（随机变量可能取值的集合）中任意给定样本（或样本点），样本在该函数上的取值可以被解释成给出了随机变量取值等于样本的<font color="#ff8000">相对可能性 relative likelihood</font>”。
It follows that the probability that X takes any value except for u0, u1, ... is zero, and thus one can write X as
It follows that the probability that X takes any value except for u0, u1, ... is zero, and thus one can write X as
由此可见，除了 u0、 u1、 ... 之外，x 取任何值的概率为零，因此可以将 x 写为
由此可见，除了 u0、 u1、 ... 之外，x 取任何值的概率为零，因此可以将 x 写为
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此句应位于下文，重复出现。
* '''Continuous probability distribution function''': most often reserved for continuous random variables.
* '''Continuous probability distribution function''': most often reserved for continuous random variables.
'''<font color="#ff8000">连续概率分布函数 Continuous Probability Distribution Function</font>'''：最常保留的连续随机变量。
'''<font color="#ff8000">连续概率分布函数 Continuous Probability Distribution Function</font>'''：最常保留的连续随机变量。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此句“保留的”改为“用于”。
* '''[[Cumulative distribution function]]''': function evaluating the [[probability]] that <math>X</math> will take a value less than or equal to <math>x</math> for continuous variable.
* '''[[Cumulative distribution function]]''': function evaluating the [[probability]] that <math>X</math> will take a value less than or equal to <math>x</math> for continuous variable.
'''<font color="#ff8000"> 累积分布函数 Cumulative distribution function</font>'''：评估连续变量X取小于或等于x的值的概率的函数。
'''<font color="#ff8000"> 累积分布函数 Cumulative distribution function</font>'''：评估连续变量X取小于或等于x的值的概率的函数。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】此句“评估”改为“计算”；“取小于或等于x的值”改为“取值小于或等于x”。
===Basic terms 基本术语===
===Basic terms 基本术语===
*'''[[Kurtosis]]''': a measure of the "fatness" of the tails of a pmf or pdf. The fourth standardized moment of the distribution.
*'''[[Kurtosis]]''': a measure of the "fatness" of the tails of a pmf or pdf. The fourth standardized moment of the distribution.
峰度：pmf或pdf尾部“脂肪”的量度。分布的第四个标准化时刻。
峰度：pmf或pdf尾部“脂肪”的量度。分布的第四个标准化时刻。
=='''<font color="#ff8000"> Discrete probability distribution 离散概率分布</font>'''==
=='''<font color="#ff8000"> Discrete probability distribution 离散概率分布</font>'''==