public static double hoeffdingLn(double trials,double observed,double prob){
  return -2 * Math.pow(trials * prob - observed,2) / trials;
}

public static double hoeffdingLn ( double trials , double observed , double prob ) { return - 2 * Math . pow ( trials * prob - observed , 2 ) / trials ; }
get hoeffding probability number , in ln space
