| C_NTLKwIEx {NTLKwIEx} | R Documentation |
Cumulative Distribution Function (CDF) of the NTLKwIEx distribution
Description
This function calculates the Cumulative density function (CDF) of the NTLKwIEx distribution.
Usage
C_NTLKwIEx(x, teta, alpha, a, b, m)
Arguments
x |
Value up to which to calculate the CDF. |
teta |
Parameter teta of the distribution representing the distribution of the inverse exponential component. |
alpha |
Parameter alpha of the distribution representing the distribution of the new proposal component. |
a |
Parameter a of the distribution representing the distribution of the Kumaraswamy component. |
b |
Parameter b of the distribution representing the distribution of the Kumaraswamy component. |
m |
Parameter m of the distribution representing the distribution of the Topp Leone component. |
Details
It takes parameters x, teta, alpha, a, b, and m, and returns the CDF value at x based on these parameters. The formula used for the calculation is provided in the documentation header. The Cumulative Distribution Function (CDF) of the NTLKwIEx distribution is defined as:
F(x;a,b,m,\alpha,\theta) = \left[ 1-\left(1-K(x,\xi)^{a \alpha^{K(x,\xi)}}\right)^{2b} \right]^{m}
where \alpha , a , b, m, \theta > 0.
Value
Value of the CDF for the NTLKwIEx distribution evaluated at x