), Burr type XII and Burr type III distributions. In these distributions, the general forms of Bhattacharyya and Kshirsagar matrices are obtained. In addition, we evaluate different Bhattacharyya and Kshirsagar bounds for the variance of any unbiased...

consider two well-known lower bounds for the variance of any unbiased estimator, which are Bhattacharyya and Kshirsagar bounds for the Burr XII and Burr III distributions. In these distributions, the general forms of the Bhattacharyya

and Kshirsagar...

lower bounds for the variance, which are the Bhattacharyya and Kshirsagar bounds for

variances of different estimators of the parameter functions such as reliability, hazard

rate, mode, and median. Then we propose the suitable bounds in each case....

and Kshirsagar bounds for the variance of estimators of some functions of relevant parameters and arrive at proposal which of the bounds should be used in given situations....

importance in all fields of statistics is clear to everyone. Furthermore by

giving two examples of negative binomial and exponential distributions, we

compare the Bhattacharyya and Kshirsagar bounds for variances of unbiased...