[R] solving non-linear system of equations
Peter Dalgaard
p.dalgaard at biostat.ku.dk
Mon Aug 14 20:12:00 CEST 2006
Spencer Graves <spencer.graves at pdf.com> writes:
> p.s. I don't see how it's obvious that 'a=-c'."
> > Y=a+bX+cX^2+dX^3, where X~N(0,1). (Y is expressed as a linear combination
> > of the first three powers of a standard normal variable.) Assuming that
> > E(Y)=0 and Var(Y)=1, one can obtain the following equations after tedious
> > algebraic calculations:
Take means on both sides: EY = a+0+c+0 = 0
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