Minimum risk estimation of scale parameter of length biased maxwell distribution with censoring under entropy loss functions
International Journal of Development Research
Minimum risk estimation of scale parameter of length biased maxwell distribution with censoring under entropy loss functions
Received 17th January, 2018; Received in revised form 26th February, 2018; Accepted 20th March, 2018; Published online 30th April, 2018
Copyright © 2018, Srivastava and AparnaShukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we have discussed Length biased distribution arise when the probability of inclusion of population unit in sample is related to the value of the variable measured. For example in textile sampling modeling, Cox(1969). In this paper the appropriateness of a length biased Maxwell distribution has been given. The minimum risk estimator of its scale has been obtained under entropy loss function with the help of a type II censored sample. We have obtained that the MELO estimator is nothing but the usual maximum likelihood estimator.
