🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: fj.sci.math
Article #14251

Re: binomial distribution

#14251
From: Hideki Tanuma
Date: Sat, 13 Mar 1993 17:26
32 lines
2048 bytes
$BED>B$G$9!#(B

In article <62C507.93Mar10185755@aqua1c.oscar.info.waseda.ac.jp>
	62c507@oscar.info.waseda.ac.jp ("Nakano Keiichi") writes:
> $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;;$7$?$$$N$G$9!#(B
>
> $B?tM}E}7W3X$NK\$r$$$/$D$+8+$F$_$?$s$G$9$,!"(Bf(x+1)/f(x)$B$N4X(B
> $B78$+$i!"D4$Y$F$$$k$b$N$7$+8+$"$?$j$^(B$B$;$s$G$7$?!#$A$g$C$H;v(B
> $B>p$,$"$C$F!"$I$&$7$F$bHyJ,$7$?$&$($GD4$Y$?$$$N$G!"$I$J$?$+(B
> $B65$($F2<$5$$!#(B

n $B$r@0?t$K8B$l$P!"(BC(n, x) $B$NJ,Jl$r&#4X?t$r2p$7$F<!$NMM$KI=$o$9$3$H$,$G$-(B
$B$^$9!#(B

	x!(n-x)! = $B&#(B(x+1)$B&#(B(n-x+1)
		 = x(1-x)(2-x)$B!D(B(n-x)$B&#(B(x)$B&#(B(1-x)
		 = $B&P(Bx(1-x)(2-x)$B!D(B(n-x)/sin$B&P(Bx

$B$3$l$r$b$H$K(B f(x) $B$NBP(B$B?tHyJ,(B {log f(x)}'=f'(x)/f(x) $B$r$H$C$F$d$k$3$H$K$h(B
$B$j!"HyJ,$r5a$a$k$3$H$,$G$-$^$9!#$?$@!"$3$l$GD:E@$N(B$B0LCV$r5a$a$k$N$O$A$g$C(B
$B$H$7$s$I$=$&$G$9$M!#(B

$B!t(B $B$G$b!"<B:]$K%0%i%U$rIA$$$F$_$k$H!"$J$+$J$+$-$l$$$J7A$r(B$B$7$F$$$^$9!#(B

-------------------------------------------------------------------------
	$BEl5~Bg3XBg3X(B$B1!(B $B?tM}2J3X8&5f2J(B $B?tM}2J3X@l96(B $B#M#1(B  $BED>B1Q<y(B
		E-mail: ss26022@ecc-s4.ecc.u-tokyo.ac.jp
-------------------------------------------------------------------------
Technical Details
Message-ID: <TANUMA.93Mar14022646@mathc.math.titech.ac.jp>
Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!wnoc-tyo-news!cs.titech!is.titech!math.titech!titmath!tanuma

Show Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,d5769bb93d070d07,start
X-Google-Attributes: gidf4956,public
X-Google-ArrivalTime: 1993-03-13 09:58:47 PST
Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!wnoc-tyo-news!cs.titech!is.titech!math.titech!titmath!tanuma
From: tanuma@mathc.math.titech.ac.jp (Hideki Tanuma)
Newsgroups: fj.sci.math
Subject: Re: binomial distribution
Message-ID: <TANUMA.93Mar14022646@mathc.math.titech.ac.jp>
Date: 13 Mar 93 17:26:45 GMT
Sender: news@math.titech.ac.jp
Distribution: fj
Organization: Dept. of Math., Tokyo Institute of Technology, Japan.
Lines: 32