trace_idc.h File Reference

Index of dispersion for counts, estimated by its asymptotic equality with the index of dispersion for intervals at a large aggregation level. More...

#include <vector>
#include "line/api/trace/trace_idi.h"
#include "line/api/trace/trace_types.h"
#include "line/num/number.h"
#include "line/util/error.h"

Include dependency graph for trace_idc.h:

Go to the source code of this file.

Namespaces
namespace	line
namespace	line::trace

Functions
template<class T>
T	line::trace::trace_idc (const std::vector< T > &S)
	Index of dispersion for counts, estimated by its asymptotic equality with the index of dispersion for intervals at a large aggregation level.

Detailed Description

Index of dispersion for counts, estimated by its asymptotic equality with the index of dispersion for intervals at a large aggregation level.

Templated port of matlab/lib/kpctoolbox/trace/trace_idc.m, cross-checked against jar/src/main/java/jline/api/trace/Trace_var.java#trace_idc.

DIVERGENCE, MATLAB vs JAR: the aggregation level is min(1000, ceil(n/30)) in MATLAB but min(1000, n/30) with integer division in the JAR. They differ on every trace whose length is not a multiple of 30, and for n < 30 the JAR asks for k = 0, which its trace_idi turns into a division by zero (NaN). MATLAB is the reference.

ARITHMETIC: as trace_idi, exact in Rational.

Definition in file trace_idc.h.