Jfunctions {logcondens} | R Documentation |
J00 represents the function J(x, y), where for real numbers x, y,
J(x, y) = frac{exp(y) - exp(x)}{y - x}.
Jab gives the respective derivatives, i.e.
J10(x, y) = frac{exp(y) - exp(x) - (y - x) exp(x)}{(y - x)^2};
J11(x, y) = frac{(y - x)(exp(x) + exp(y)) + 2 (exp(y) - exp(x))}{(y - x)^3};
J20(x, y) = 2frac{exp(y) - exp(x) - (y - x)exp(x)-(y - x)^2 exp(x)}{(y - x)^3}.
J00(x, y) J10(x, y) J11(x, y) J20(x, y)
x |
Arbitrary real number. |
y |
Arbitrary real number. |
Value of the respective function.
Taylor approximations are used if y-x is small.
Kaspar Rufibach, kaspar.rufibach@stanford.edu,
http://www.stanford.edu/~kasparr
Lutz Duembgen, duembgen@stat.unibe.ch,
http://www.stat.unibe.ch/~duembgen