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

$\beta$ and $\theta$

Shape and Scale parameters of PLP

$T_1,T_2,\cdots ,T_n$

First n successive failure times of the PLP

$V\left(t\mathrm{<mo>\; ;\; </mo>}\beta \mathrm{,}\theta \right)$

Intensity function of the PLP

RE

Relative efficiency

AMISE

Asymptotic mean integrated squared error

H-T

Higgin-Tsokos

S-E

Squared-Error

${\widehat{\beta }}_{HT}$

Bayesian estimate of $\beta$ under H-T loss function

${\widehat{\beta }}_{SE}$

Bayesian estimate of $\beta$ under S-E loss function

${\widehat{V}}_{HT}$

Bayesian MLE estimate of $V\left(t\mathrm{<mo>\; ;\; </mo>}\beta \mathrm{,}\theta \right)$ under H-T loss function

${\widehat{V}}_{SE}$

Bayesian MLE estimate of $V\left(t\mathrm{<mo>\; ;\; </mo>}\beta \mathrm{,}\theta \right)$ under S-E loss function

$B\mathrm{.}HT$

Bayesian estimate under Burr PDF and H-T loss function

$B\mathrm{.}SE$

Bayesian estimate under Burr PDF and S-E loss function