int main(){
gsl_rng *r = apop_rng_alloc(2312311);
int empirical_size = 5e3;
apop_model *expo = apop_model_set_parameters(apop_exponential, 1.7);
assert (apop_kl_divergence(expo, expo) < 1e-4);
apop_data *empirical = apop_data_alloc(empirical_size, 1);
for (int i=0; i<empirical_size; i++)
apop_draw(apop_data_ptr(empirical, i, 0), r, expo);
apop_model *pmf = apop_estimate(empirical, apop_pmf);
assert(apop_kl_divergence(pmf,expo) < 1e-4);
apop_data_free(empirical);
}
ykl_s make_yule(char const *zila, int y) {
static gsl_matrix *indices;
if (!indices) {
indices = gsl_matrix_calloc(65,1);
for (int i=0; i< 64; i++) gsl_matrix_set(indices, i,0, i);
}
apop_data *col = make_histo(zila, y);
apop_data ww = (apop_data) {
.weights=col->vector, .matrix=indices
};
apop_data *d = apop_data_transpose(col);
apop_data *exp = apop_data_rank_expand(d);
apop_model *m = apop_estimate(exp, apop_yule);
apop_model *n = apop_estimate(exp, apop_lognormal);
ykl_s out = (ykl_s) {
.yule=apop_data_get(m->parameters, .col=-1/*, .rowname="mu"*/),
.ln=apop_data_get(n->parameters, .col=-1/*, .rowname="mu"*/),
.lnstderr=sqrt(apop_data_get(n->parameters, .col=-1, .row=1/*, .rowname="mu"*/)),
.kl = apop_kl_divergence(apop_estimate(&ww, apop_pmf), m),
.lnkl = apop_kl_divergence(apop_estimate(&ww, apop_pmf), n),
.mean = apop_matrix_mean(col->matrix)
};
apop_data_free(d);
apop_data_free(exp);
apop_model_free(m);
return out;
}
int main() {
printf("zila|year|yule_p|kl_div|mu|ln_mu|ln_sigma|ln_kl\n");
apop_db_open("b.db");
apop_data *zilas = apop_query_to_text("select admname from ppl");
for (int i=0; i< *zilas->textsize; i++)
for (int y=2001; y<= 2005; y++) {
ykl_s ykl = make_yule(*zilas->text[i], y);
printf("%20s| %i| %g| %g| %g| %g| %g|%g\n", *zilas->text[i], y, ykl.yule, ykl.kl, ykl.mean, ykl.ln, ykl.lnstderr, ykl.lnkl);
}
//apop_plot_histogram(m->data->weights, 64, .output_file="histo");
}