Now showing items 1-4 of 4

• #### A Pseudo-Pareto Distribution and Concomitants of Its Order Statistics ﻿

Authors:
Publisher and Date:(Springer, 2016)
Pareto distributions are very flexible probability models with various forms and kinds. In this paper a new bivariate Pseudo-Pareto distribution and its properties are presented and discussed. Main variables order statistics and concomitants of this distribution are studied and their importance for risk and reliability analysis is explained. Joint and marginal distributions complementing cumulative distributions and hazard functions of the variables are derived. Numerical illustrations graphical ...

• #### Bivariate Pseudo-Gompertz distribution and concomitants of its order statistics ﻿

This paper presents a new bivariate Pseudo-Gompertz distribution that sprouts from the classical Gompertz distribution and possesses the features of pseudo-distribution functions. In addition to some standard properties of the proposed distribution distributions of order statistics and their concomitants for samples drawn from the new distribution are obtained. The survival and hazard functions of the concomitants are shown and their values are tabled. Interpretations of the results are given in ...

• #### A max–min model of random variables in bivariate random sequences ﻿

Authors:
Publisher and Date:(Elsevier, 2021)
We introduce a max–min model to bivariate random sequences and applying bivariate binomial distribution in fourfold scheme derive the distributions of associated order statistics in a new model. Some examples for special cases are presented and applications of the results in reliability analysis and actuarial sciences are discussed.

• #### Modeling of claim exceedances over random thresholds for related insurance portfolios ﻿

Large claims in an actuarial risk process are of special importance for the actuarial decision making about several issues like pricing of risks determination of retention treaties and capital requirements for solvency. This paper presents a model about claim occurrences in an insurance portfolio that exceed the largest claim of another portfolio providing the same sort of insurance coverages. Two cases are taken into consideration: independent and identically distributed claims and exchangeable ...