svg("scaled_inverse_chi_squared.svg",width=3,height=3.5,pointsize=8)
x <- seq(0,5,by=0.02)
plot (x, 10 * dchisq(10/x,10)/(x*x), ty='l',ylab="f(x)")
lines (x, 4 * dchisq(4/x,4)/(x*x), ty='l', col="red")
lines (x, 2 * dchisq(2/x,2)/(x*x), ty='l', col="green")
lines (x, 1 * dchisq(1/x,1)/(x*x), ty='l', col="blue")
legend("topright", legend = expression(paste(nu == "1, ", tau^2 == "1.0"),
      paste(nu == "2, ", tau^2 == "1.0"), paste(nu == "4, ", tau^2 == "1.0"),
      paste(nu == "10, ", tau^2 == "1.0")),
      lty = 1, col = c("blue", "green", "red", "black"), inset = 0.02)
dev.off()

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