| P_NTLKwIEx {NTLKwIEx} | R Documentation |
Probability Density Function (PDF) of the NTLKwIEx distribution
Description
The Probability Density Function (PDF) of the NTLKwIEx distribution is defined as:
Usage
P_NTLKwIEx(x, teta, alpha, a, b, m)
Arguments
x |
Value to evaluate the PDF at |
teta |
Parameter teta of the distribution |
alpha |
Parameter alpha of the distribution |
a |
Parameter a of the distribution |
b |
Parameter b of the distribution |
m |
Parameter m of the distribution |
Details
f(x, \theta, \alpha, a, b, m) =2abm\frac{\theta}{x^{2}}\left( -\frac{\theta}{x}log\left( \alpha \right)+ exp\left( \dfrac{\theta}{x}\right)\right)exp\left\lbrace -\frac{\theta}{x}\left(1+a\alpha^{exp\left(-\frac{\theta}{x}\right)}\right)\right\rbrace \left\lbrace 1-exp\left( -a\frac{\theta}{x}\alpha^{exp\left(-\frac{\theta}{x}\right)} \right)\right\rbrace^{2b-1}\left\lbrace 1-\left\lbrace 1-exp\left( -\frac{a\theta}{x} \alpha^{exp\left(-\frac{\theta}{x}\right) }\right)\right\rbrace ^{2b} \right\rbrace^{m-1}
Value
Value of the PDF for the NTLKwIEx distribution evaluated at x