-diagonal elements. In addition, we calculate

the 5×5 Bhattacharyya matrix for inverse Gaussian distribution and evaluated different

Bhattacharyya bounds for the variance of estimator of the failure rate, coefficient of

variation, mode and moment...

One of the most fundamental things in estimation theory about accuracy of an unbiased estimator is computing or approximating its variance. Most of the time, the variance has complicated form or cannot be computed. In this ...

A set of families of distributions which might be useful for fitting data was described by Burr (1942). Among them, the families type XII (Burr XII) and type III (Burr III), have gathered special attention in physics, ...

In order to give an excellent description of income distributions, although a large number of functional forms have been proposed, but the four-parameter generalized beta model of the second kind (GB2), introduced by J. ...

The generalized gamma (GG) distribution, which was described for the first time by

Stacy (1962), is a popular distribution in many areas such as reliability, modeling data,

actuarial studies, and applied ...

One of the most fundamental issues in estimation theory about accuracy of an unbiased estimator

is computing or approximating its variance. Very often, the variance has a complicated form or cannot be

computed ...

One of the main branches of statistical inference is estimation the-

ory which introduce different estimators of unknown parameters and verify

various properties of estimators such as unbiasedness, consistency, ...