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The Pareto distribution is a special case of the generalized Pareto distribution, which is a family of distributions of similar form, but containing an extra parameter in such a way that the support of the distribution is either bounded below (at a variable point), or bounded both above and below (where both are variable), with the Lomax distribution as a special case. This family also contains both the unshifted and shifted exponential distributions.
 
The Pareto distribution is a special case of the generalized Pareto distribution, which is a family of distributions of similar form, but containing an extra parameter in such a way that the support of the distribution is either bounded below (at a variable point), or bounded both above and below (where both are variable), with the Lomax distribution as a special case. This family also contains both the unshifted and shifted exponential distributions.
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帕累托分布分布是广义帕累托分布分布的一个特例,它是一族形式相似的分布,但包含一个额外的参数,使得分布的支撑要么在下面有界(在一个可变点) ,要么在上面和下面都有界(两者都是可变的) ,'''<font color="#ff8000"> 洛马克斯分布Lomax distribution </font>'''是一个特例。该族同时包含'''<font color="#ff8000">无移位和移位指数分布Unshifted and Shifted exponential distributions</font>'''
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'''<font color="#ff8000"> 帕累托分布Pareto distribution </font>'''是'''<font color="#ff8000"> 广义帕累托分布Generalized Pareto distribution </font>'''的一个特例,它是一族形式相似的分布,但包含一个额外的参数,使得分布的支撑要么在下面有界(在一个可变点) ,要么在上面和下面都有界(两者都是可变的) ,'''<font color="#ff8000"> 洛马克斯分布Lomax distribution </font>'''是一个特例。该族同时包含'''<font color="#ff8000">无移位和移位指数分布Unshifted and Shifted exponential distributions</font>'''
    
The Pareto distribution is related to the [[exponential distribution]] as follows. If ''X'' is Pareto-distributed with minimum ''x''<sub>m</sub> and index&nbsp;''α'', then
 
The Pareto distribution is related to the [[exponential distribution]] as follows. If ''X'' is Pareto-distributed with minimum ''x''<sub>m</sub> and index&nbsp;''α'', then
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