Bayes estimation based on -record data from a general class of distributions under balanced type loss functions

A semi-parametric class of distributions that includes several well-known lifetime distributions such as exponential, Weibull (one parameter), Pareto, Burr type XII and so on is considered in this paper. Bayes estimation of parameters of interest based on k -record data under balanced type loss functions is developed; and in some cases the admissibility or inadmissibility of the linear estimators is considered. The results are presented under the balanced versions of two well-known loss functions, namely squared error loss (SEL) and Varianʹs linear-exponential (LINEX) loss. Some recently published results on Bayesian estimation using record data are shown to be special cases of our results.