#include<stdio.h>
#include<math.h>

double *kotz_families  (double *x, int n)

{
  static double y[2];
  int i;
  double a1, b1, a2, b3, c1, c2, c3, c4, c5, c6, lx;
  double sum1 = 0.0, sum2 = 0.0, sum4 = 0.0;

  for (i = 0; i < n; ++i)
  {
    sum1 += x[i];
    sum2 += log (x[i]);
  }
  b1 = sum1 / n;
  a1 = sum2 / n;
  for (i = 0; i < n; ++i)
  {
    lx = log (x[i]);
    sum4 += (lx - a1) * (lx - a1);
  }
  a2 = sum4 / n;
  b3 = exp (a1 * 2 + a2) * (exp (a2) - 1);
  c1 = log (a2 / b3);
  c2 = (exp (a2 * 4) + exp (a2 * 3) * 2 - 4) / 4 - a2 + exp (a2) * 0.75;
  c3 = a2 * (exp (a2) * 2 - 1) * (exp (a2) * 2 - 1);
  c4 = (exp (a2) - 1) * 2 * (exp (a2) - 1);
  c5 = c3 / c4;
  if (c2 < c5)
  {
#ifdef NOISY
    fprintf (stdout,"  WARNING!!! STATISTICS FOR THE NEXT TEST WILL\n");
    fprintf (stdout,"  NOT BE CALCULATED DUE TO SMALL LOGVARIANCE\n");
#endif				/* NOISY */
    y[0] = 999999999.;
  }
  else
  {
    c6 = sqrt (c2 - c5) * 2.0 * sqrt ((double) n);
    y[0] = c1 / c6;
  }
#ifdef NOISY
  fprintf (stdout,"  TEST24 KT(LN) =%10.4f\n", y[0]);
#endif				/* NOISY */
  return y;
}
