Minimax Shrunken Technique for Estimate Burr X Distribution Shape Parameter

Minimax Estimation of the Parameter of the Burr Type Xii Distribution

In this paper the classical estimators of the shape parameter for the Burr Type XII distribution, such as, the Maximum Likelihood Estimator (MLE), the Uniformly Minimum Variance Unbiased Estimator (UMVUE), and the Minimum Mean Squared Error (MinMSE) estimator are obtained. Then the problem of finding the minimax estimators of this parameter under the squared log error, precautionary, and weight...

Estimation of the reliability function for two-parameter exponentiated Rayleigh or Burr type X distribution

Problem Statement: The two-parameter exponentiated Rayleigh distribution has been widely used especially in the modelling of life time event data. It provides a statistical model which has a wide variety of application in many areas and the main advantage is its ability in the context of life time event among other distributions. The uniformly minimum variance unbiased and maximum likelihood es...

Estimation of R= P [Y < X] for Two-parameter Burr Type XII Distribution

In this article, we consider the estimation of P[Y < X], when strength, X and stress, Y are two independent variables of Burr Type XII distribution. The MLE of the R based on one simple iterative procedure is obtained. Assuming that the common parameter is known, the maximum likelihood estimator, uniformly minimum variance unbiased estimator and Bayes estimator of P[Y < X] are discussed. The ex...

Interval Estimation For The Scale Parameter Of Burr Type X Distribution Based On Grouped Data

On a six-parameter generalized Burr XII distribution

In this paper, we derive a probability density function that generalizes the Burr XII distribution. The cumulative distribution function and the nth moment of the generalized distribution are obtained while the distribution of some order statistics of the distribution are established. A theorem that relate the new distribution to another statistical distribution is established. 2000 Mathematics...