Smooth distribution function estimation for lifetime distributions using Szasz–Mirakyan operators

Nonparametric estimation of multivariate distribution function for truncated and censored lifetime data

In this article we consider a number of models for the statistical data generation in different areas of insurance, including life, pension and non-life insurance. Insurance statistics are usually truncated and censored, and often are multidimensional. There are algorithms for estimating the distribution function for such data but they are applicable for one-dimensional case. The most effective...

Estimating Lifetime Earnings Distributions Using Copulas∗

In this paper we illustrate both the usefulness of copulas as a statistical technique for modelling dependence in earnings across the lifecycle, as well as contrast it with more traditional approaches for modelling earnings dynamics that appear in the literature. Our model can be estimated using a two-period panel on earnings, in contrast to more traditional approaches which generally require a...

Analyzing System Reliability Using Fuzzy Weibull Lifetime Distribution

Investigation of reliability characteristics under fuzzy environments is proposed in this paper. Fuzzy Weibull distribution and lifetimes of components are using it described. Formulas of a fuzzy reliability function, fuzzy hazard function and their α-cut set are presented. Furthermore, the fuzzy functions of series systems and parallel systems are discussed, respectively. Finally, some num...

An Evaluation of the Systems Reliability Using Fuzzy Lifetime Distribution

Bayesian Estimation for the Pareto Income Distribution under Asymmetric LINEX Loss Function

The use of the Pareto distribution as a model for various socio-economic phenomena dates back to the late nineteenth century. In this paper, after some necessary preliminary results we deal with Bayes estimation of some of the parameters of interest under an asymmetric LINEX loss function, using suitable choice of priors when the scale parameter is known and unknown. Results of a Monte C...