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《Journal of Northern Jiaotong University》 2003-06
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Some Changes of Height on Density Function

LIU Xiao_peng, LIU Kun_hui (School of Sciences, Beijing JiaoTong University, Beijing 100044,China)  
This paper uses the properties of special functions, analyses properties of F distributed density function in detail, points out the effects of change of the second parameter on density curve. To say it in the main, about F density function curve, one remarkable characteristic is that in pace with the increase of the second parameter, the position of maximum point of density curve is more and more high. Another characteristic is that when the first parameter is fixed and the second is different, the two density curves have either one or two intersection points. In the first case, before intersection point, the curve which is belonged to the bigger parameter is lower than the curve which is belonged to the smaller parameter, and after intersection point, the former is higher that the latter. In the second case, the middle of the curve which is belonged to the bigger parameter is higher than the middle of the curve which is belonged to the smaller parameter, and about the others of the curve, the former is lower than the latter.
【Fund】: 国家自然科学基金资助项目(19671004)
【CateGory Index】: O211.6
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