Acronyms

HPP

Homogeneous Poisson Process

NHPP

Non-Homogeneous Poisson Process

PLP

Power Law Process

MLE

Maximum likelihood estimate

PDF

Probability density function

CDF

Cumulative density function

Notations

β and θ

Shape and Scale parameters of PLP

T 1 , T 2 , , T n

First n successive failure times of the PLP

V ( t ; β , θ )

Intensity function of the PLP

RE

Relative efficiency

AMISE

Asymptotic mean integrated squared error

H-T

Higgin-Tsokos

S-E

Squared-Error

β ^ H T

Bayesian estimate of β under H-T loss function

β ^ S E

Bayesian estimate of β under S-E loss function

V ^ H T

Bayesian MLE estimate of V ( t ; β , θ ) under H-T loss function

V ^ S E

Bayesian MLE estimate of V ( t ; β , θ ) under S-E loss function

B . H T

Bayesian estimate under Burr PDF and H-T loss function

B . S E

Bayesian estimate under Burr PDF and S-E loss function