PHP code to calculate gamma distributions and cumul gamma distributions – similar to excel’s gammadist() functions.
function getgamma($x, $k = 1, $theta = 1) { return pow($x, $k - 1)*exp(-$x/$theta)/(gamma($k)*pow($theta, $k)); } function getcumulgamma($x, $k = 1, $theta = 1) { return lowerGamma($k, $x/$theta)/gamma($k); } function lowerGamma($s, $x) { //Special thanks to http://www.reddit.com/user/harlows_monkeys for this algorithm. if ($x == 0) return 0; $t = exp($s*log($x)) / $s; $v = $t; for ($k = 1; $k < 150; ++$k) { $t = -$t * $x * ($s + $k - 1) / (($s + $k) * $k); $v += $t; if (abs($t) < 0.00000000001) break; } return $v; } function gamma($x) { if ($x <= 0) { return NAN; } else { return sqrt(2*M_PI/$x)*pow((1/M_E)*($x+(1/(12*$x - 1/(10*$x)))), $x); } }