# Basic Theoretical Copula, Empirical Copula, and Various Utility Functions

## Documentation for package ‘copBasic’ version 1.5.1

- DESCRIPTION file.

## Help Pages

blomCOP | The Blomqvist's Beta of a Copula
coCOP | The Co-Copula
composite1COP | Composition of a Single Symmetric Copula
composite2COP | Composition of Two Copulas
composite3COP | Extended Composition of Two Copulas
COP | The Copula
COPinv | The Inverse of a Copula for V with respect to U
COPinv2 | The Inverse of a Copula for U with respect to V
derCOP | The Numeric Derivative of a Copula
derCOP2 | The Numeric Derivative of a Copula
derCOPinv | The Inverse of a Numeric Derivative for V with respect to U of a Copula
derCOPinv2 | The Inverse of a Numeric Derivative for U with respect to V of a Copula
diagCOP | The Diagonals of a Copula
duCOP | The Dual of a Copula
EMPIRcop | The Bivariate Empirical Copula
EMPIRcopdf | Dataframe of the Bivariate Emprical Copula
EMPIRgrid | Grid of the Bivariate Emprical Copula
EMPIRgridder | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRgridder2 | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRgridderinv | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRgridderinv2 | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRmed.regress | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRmed.regress2 | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRqua.regress | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRqua.regress2 | Derivatives of the Grid of the Bivariate Emprical Copula
EMPIRsim | Simulate an Empirical Copula
EMPIRsimv | Simulate an Empirical Copula For a Fixed Value of U
giniCOP | The Gini's Gamma of a Copula
isCOP.LTD | Is a Copula Left-Tail Decreasing
isCOP.RTI | Is a Copula Right-Tail Increasing
lcomoms2.ABcop2parameter | Convert L-comoments to Parameters of Compositions of Two 2-parameter Copulas
lcomoms2.ABKGcop2parameter | Convert L-comoments to Parameters of Compositions of Two 2-parameter Copulas
level.curvesCOP | Compute and Plot Level Curves of a Copula V with respect to U
M | The Frechet-Hoeffding Upper Bound
med.regressCOP | Perform Median Regression using a Copula by Numerical Derivative Method for V with respect to U
med.regressCOP2 | Perform Median Regression using a Copula by Numerical Derivative Method for U with respect to V
N4212cop | The Copula of Equation 4.2.12 of Nelson's Book
P | The Product (Independence) Copula
PLACKETTcop | The Plackett Copula
PLACKETTpar | Estimate the Parameter of the Plackett Copula
PlackettPlackettABKGtest | Parameters and L-comoments of a Composition of Two Plackett Copulas
PlackettPlackettNP | Parameters and L-comoments of a Composition of Two Plackett Copulas
PLACKETTsim | Direct Simulation of a Plackett Copula
PSP | The ratio of the Product Copula to Summation minus Product Copula
qua.regressCOP | Perform Quantile Regression using a Copula by Numerical Derivative Method for V with respect to U
qua.regressCOP.draw | Draw Quantile Regressions using a Copula by Numerical Derivative Method for V with respect to U or U with respect to V
qua.regressCOP2 | Perform Quantile Regression using a Copula by Numerical Derivative Method for U with respect to V
rhoCOP | The Spearman's Rho of a Copula
sectionCOP | The Sections or Derivative of Sections of a Copula
simcomposite3COP | Simulation of a Composited Copula
simcompositeCOP | Simulation of a Composited Copula
simCOP | Simulate a Copula by Numerical Derivative Method
simCOPmicro | Simulate a V from an U through a Copula by Numerical Derivative Method
surCOP | The Survival Copula
taildepCOP | The Upper and Lower Tail Dependency Parameters of a Copula
tauCOP | The Kendall's Tau of a Copula
W | The Frechet-Hoeffding Lower Bound
wolfCOP | The Schweizer and Wolff's Sigma of a Copula