Miscellaneous statistics functions and classes - header file. More...
#include <itpp/base/math/min_max.h>
#include <itpp/base/mat.h>
#include <itpp/base/math/elem_math.h>
#include <itpp/base/matfunc.h>
#include <itpp/itexports.h>
Go to the source code of this file.
Classes | |
class | itpp::Stat |
A class for sampling a signal and calculating statistics. More... | |
Namespaces | |
namespace | itpp |
itpp namespace | |
Functions | |
double | itpp::mean (const vec &v) |
The mean value. | |
std::complex< double > | itpp::mean (const cvec &v) |
The mean value. | |
double | itpp::mean (const svec &v) |
The mean value. | |
double | itpp::mean (const ivec &v) |
The mean value. | |
double | itpp::mean (const mat &m) |
The mean value. | |
std::complex< double > | itpp::mean (const cmat &m) |
The mean value. | |
double | itpp::mean (const smat &m) |
The mean value. | |
double | itpp::mean (const imat &m) |
The mean value. | |
template<class T > | |
double | itpp::geometric_mean (const Vec< T > &v) |
The geometric mean of a vector. | |
template<class T > | |
double | itpp::geometric_mean (const Mat< T > &m) |
The geometric mean of a matrix. | |
template<class T > | |
double | itpp::median (const Vec< T > &v) |
The median. | |
double | itpp::norm (const cvec &v) |
Calculate the 2-norm: norm(v)=sqrt(sum(abs(v).^2)) | |
template<class T > | |
double | itpp::norm (const Vec< T > &v) |
Calculate the 2-norm: norm(v)=sqrt(sum(abs(v).^2)) | |
double | itpp::norm (const cvec &v, int p) |
Calculate the p-norm: norm(v,p)=sum(abs(v).^2)^(1/p) | |
template<class T > | |
double | itpp::norm (const Vec< T > &v, int p) |
Calculate the p-norm: norm(v,p)=sum(abs(v).^2)^(1/p) | |
double | itpp::norm (const cvec &v, const std::string &s) |
Calculate the Frobenius norm for s = "fro" (equal to 2-norm) | |
template<class T > | |
double | itpp::norm (const Vec< T > &v, const std::string &s) |
Calculate the Frobenius norm for s = "fro" (equal to 2-norm) | |
double | itpp::norm (const mat &m, int p) |
double | itpp::norm (const cmat &m, int p) |
double | itpp::norm (const mat &m, const std::string &s) |
Calculate the Frobenius norm of a matrix for s = "fro". | |
double | itpp::norm (const cmat &m, const std::string &s) |
Calculate the Frobenius norm of a matrix for s = "fro". | |
double | itpp::variance (const cvec &v) |
The variance of the elements in the vector. Normalized with N-1 to be unbiased. | |
template<class T > | |
double | itpp::variance (const Vec< T > &v) |
The variance of the elements in the vector. Normalized with N-1 to be unbiased. | |
template<class T > | |
double | itpp::energy (const Vec< T > &v) |
Calculate the energy: squared 2-norm. energy(v)=sum(abs(v).^2) | |
bool | itpp::within_tolerance (double x, double xref, double tol=1e-14) |
Return true if the input value x is within the tolerance tol of the reference value xref . | |
bool | itpp::within_tolerance (std::complex< double > x, std::complex< double > xref, double tol=1e-14) |
Return true if the input value x is within the tolerance tol of the reference value xref . | |
bool | itpp::within_tolerance (const vec &x, const vec &xref, double tol=1e-14) |
Return true if the input vector x is elementwise within the tolerance tol of the reference vector xref . | |
bool | itpp::within_tolerance (const cvec &x, const cvec &xref, double tol=1e-14) |
Return true if the input vector x is elementwise within the tolerance tol of the reference vector xref . | |
bool | itpp::within_tolerance (const mat &X, const mat &Xref, double tol=1e-14) |
Return true if the input matrix X is elementwise within the tolerance tol of the reference matrix Xref . | |
bool | itpp::within_tolerance (const cmat &X, const cmat &Xref, double tol=1e-14) |
Return true if the input matrix X is elementwise within the tolerance tol of the reference matrix Xref . | |
double | itpp::moment (const vec &x, const int r) |
Calculate the central moment of vector x. | |
double | itpp::skewness (const vec &x) |
Calculate the skewness excess of the input vector x. | |
double | itpp::kurtosisexcess (const vec &x) |
Calculate the kurtosis excess of the input vector x. | |
double | itpp::kurtosis (const vec &x) |
Calculate the kurtosis of the input vector x. | |
Miscellaneous statistics functions and classes - header file.
Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)
This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.
IT++ is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
IT++ is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with IT++. If not, see http://www.gnu.org/licenses/.
Definition in file misc_stat.h.
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