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08jmliu: ½ð±Ò+10, ·Ç³£¸Ðл£¡ 2012-08-27 19:13:41
B(j+b+1,m)=Gamma(j+b+1)Gamma(m)/Gamma(j+b+m+1)=Gamma(m)/(j+b+m)(j+b+m-1)...(j+b+1)
B(j+1,m)=Gamma(j+1)Gamma(m)/Gamma(j+m+1)=Gamma(m)/(j+m)(j+m-1)...(j+1)
1-B(j+b+1,m)/B(j+1,m)=[(j+b+m)(j+b+m-1)...(j+b+1)-(j+m)(j+m-1)...(j+1)]/(j+b+m)(j+b+m-1)...(j+b+1)
={(j+m)[(j+b+m-1)...(j+b+1)-(j+m-1)...(j+1)]+b(j+b+m-1)...(j+b+1)}(j+b+m)(j+b+m-1)...(j+b+1)
={(j+m)/(j+b+m)}{1-B(j+b+1,m-1)/B(j+1,m-1)}+b/(j+b+m).
µ± m=1 ʱ£¬
1-B(j+b+1,1)/B(j+1,1)=b/(j+b+1)<=(b+1)/(j+b+2)
¼ÙÉè
1-B(j+b+1,m-1)/B(j+1,m-1)<=(b+1)(m-1)/(j+b+m)
Ôò
1-B(j+b+1,m)/B(j+1,m)<={(j+m)/(j+b+m)}{(b+1)(m-1)/(j+b+m)}+b/(j+b+m)
<=[(b+1)(m-1)+b]/(j+b+m)<=[(b+1)(m-1)+b+1]/(j+b+m+1)=(b+1)m/(j+b+m+1).

[ Last edited by xxxfield on 2012-8-27 at 10:09 ]
3Â¥2012-08-27 10:06:58
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