Article View: fj.sci.math
Article #14245Re: binomial distribution
From: Shingo MATSUMOTO
Date: Thu, 11 Mar 1993 03:28
Date: Thu, 11 Mar 1993 03:28
17 lines
1582 bytes
1582 bytes
$B>>K\!w?t3X2J$/$:$l$G$9!#(B
In article <62C507.93Mar10185755@aqua1c.oscar.info.waseda.ac.jp> 62c507@oscar.info.waseda.ac.jp ("Nakano Keiichi") writes:
|$B<ALd$O!"#29`J,I[$N<0$NHyJ,$N;EJ}!"$G(B$B$9!#(B
|
|$B#29`J,I[!"(B
| f(x) = b(x, n, P) = C(n, x) $B!_(B P^(x) $B!_(B (1-P)^(n-x)
| where, C(n, x) = n! / (n-x)! / x!
|
|$B$N7A>u$rD4$Y$k$?$a$K!"(Bd{f(x)} / dx$B$r7W;;$7$?$$$N$G$9!#(B
$B0lHLE*$K(BC(n,x)$B$O!"(B(1-y)^n$B$N(BTaylor$BE83+$NBh(B x$B9`$H$$$&Dj5A$N$h$&$J$N$G!"(B
x$B$,@0?t$G$J$$$H$-$H$$$&$N$O!"9MN8$K$O$$$C$F$$$J$$$+$b$7(B$B$l$^$;$s!#(B
( $B>e$N>l9g$H0[$J$j!"(B n$B$,Hs@0?t$N>l9g$O9M$($i$l$k!#@0?t$N>l9g$H(B
$B0[$J$j!"(B x$B!d(B n$B$G$b(BC(n,x)$B$O#0(B$B$G$J$$!#(B)
$B$b$C$H$b!"3,>h$r%,%s%^4X?t$K0lHL2=$9$l$P!"HyJ,$G$-$k$G$7$g$&$,!"(B
$B$=$l$,$I$N$h$&$J7A$N<0$GI=(B$B$5$l$k$+$O!"$o$+$j$^$;$s!#(B
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<SHINGO.93Mar11122842@ipc02.rtri.or.jp>Path:
arc1-ca.pugleaf.net!sparky!uunet!europa.eng.gtefsd.com!howland.reston.ans.net!agate!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!etl.go.jp!gama!lab!utogw!sectrl!keu02!shingoReferences:
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,e3f5489e1cec0646 X-Google-Attributes: gidf4956,public X-Google-ArrivalTime: 1993-03-11 02:20:00 PST Path: arc1-ca.pugleaf.net!sparky!uunet!europa.eng.gtefsd.com!howland.reston.ans.net!agate!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!etl.go.jp!gama!lab!utogw!sectrl!keu02!shingo From: shingo@ipc02.rtri.or.jp (Shingo MATSUMOTO) Newsgroups: fj.sci.math Subject: Re: binomial distribution Message-ID: <SHINGO.93Mar11122842@ipc02.rtri.or.jp> Date: 11 Mar 93 03:28:42 GMT References: <62C507.93Mar10185755@aqua1c.oscar.info.waseda.ac.jp> Sender: news@keu02.rtri.or.jp Distribution: fj Organization: Railway Technical Research Institute Lines: 17