Parameter estimation for ihe birnbaum-saunders distribution based on symmetrically censored samples

Ihe Bimbaum-Saunders distribution was derived to model fatigue life. Frequently, it becomes necessary to stop a life testing process before all the test items have failed. Therefore, estimation procedures need to be developed for use when censoring occurs. In this article, we have derived estimators for the parameters of this distribution which may be used for complete samples or Type II symmetrically censored samples A simulation study was also conducted to examine the performance of these estimators.     

Estimating quantiles using optimally selected order statistics

This expository paper deals with the linear estimation of quantiles of location-scale families of distributions using a few selected order statistics.The general theory for the problem i s reviewed for the exact as well as the asymptotic cases.     

Estimation of quantiles of exponential and double exponential distributions based on two order statistics

Asymptotically best linear unbiased estimators (ABLUE) of quantiles, x^., in the two-parameter (location-scale) exponential and double exponential families are obtained as linear combinations of two suitably chosen order statistics. Exact formulae for the linear combinations are given as functions of £. The derived estimators in both cases compare favorably with the usual nonparametric estimator. Also, in the exponential case the derived estimator compares favorably with the Sarhan-Greenberg BLUE based on a complete sample     

Optimal spacings for the simultaneous estimation of the location and scale parameters of a normal distribution based on selected two sample quantiles

Simultaneous estimation of the location parameter μ and scale parameter σ of a normal distribution based on two selected sample quantiles out of sufficiently large sample of size n is considered. The optimal spacing which maximizes the asymptotic relative efficiency is proved to be symmetric.     

Estimating pareto quantiles using two order statistics

Asymptotically best linear unbiased estimators of the population quantiles for the location-scale Pareto distribution with fixed shape parameter are obtained using two suitably chosen order statistics. Formulae for the appropriate order statistics, coefficients, variances, and asymptotic relative efficiencies (relative to the usual non-parametric estimator for quantiles) are given