We consider a non-additive generalization of the Shannon entropy measure using order statistics and show that this entropy measure characterizes the distribution function uniquely. Further we propose a residual non-additive entropy measure for order statistics and prove a characterization result...

In this paper a new probability density function with bounded domain is presented. The new distribution arises from the generalized Lindley distribution proposed by Zakerzadeh and Dolati (2010). This new distribution that depends on two parameters can be considered as an alternative to the...

This paper is devoted to pointwise large and moderate deviation principles for the hazard rate function kernel estimator in the right censorship setting. Using the contraction principle and an exponential equivalence, the results are derived as by-products from large and moderate deviation...

We develop a new <Emphasis FontCategory="SansSerif">R package that computes the probability density function, the hazard rate function, the integrated hazard rate function, and the quantile function for forty four survival models commonly used in actuarial science. A real data application of the package is illustrated. It is...</emphasis>

This paper extends the macroeconomic frailty model to include sectoral frailty factors that capture default correlations among firms in a similar business. We estimate sectoral and macroeconomic frailty factors and their effects on default intensity using the data for Japanese firms from 1992 to...