Nawata [8–10] proposed a new estimator for the standard regression, censored regression, and binary choice models, based on grouping of observations. This paper shows that Nawata's grouping method can be generalised to various types of estimation problems and represents a new class of...

The female labor supply models have been widely used in labor economics. The models are usually estimated by Heckman’s two-step estimator. However, Heckman’s two-step estimator often performs poorly. This paper considers an estimation of the models by the maximum likelihood method. An...

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification...

A treatment of the mathematical properties is provided for the Lindley distribution. The properties studied include: moments, cumulants, characteristic function, failure rate function, mean residual life function, mean deviations, Lorenz curve, stochastic ordering, entropies, asymptotic...

The limiting distributions of the extremes of mixed exponential distributions and the associated rates of convergence are derived. The practical values of the results are illustrated by a numerical study.

This article considers the prediction problem of the life-span of a system whose components connected in series and the lifetime of the components follows the exponential distribution with probability density f(x;θ)=θ−1exp⁡(−x/θ)I(x0). Employing the Bayes method, a prior distribution...