The paper concerns the problem how to purchase the reinsurance in order to make the insurer and the reinsurance company’s total risk to be least under the expected value principle. When the insurer and reinsurance company take arbitrary risk measures, sufficient conditions for optimality of reinsurance contract are given within the restricted class of admissible contracts. Further, the explicit...

This paper introduces a novel method for complex number representation. The proposed Redundant Complex Binary Number System (RCBNS) is developed by combining a Redundant Binary Number and a complex number in base (-1+j). Donald [1] and Walter Penny [2,3] represented complex numbers using base –j and (-1+j) in the classified algorithmic models. A Redundant Complex Binary Number System consists o...

Abstract We proof a Garrett–Böcherer decomposition of vector-valued Siegel Eisenstein series $$E_{l,0}^2$$ El,02 genus 2 transforming with the Weil representation $${\text {Sp}}_2({\mathbb {Z}})$$...

establishing order, integrity, consistency, and accuracy in thesauri as information storage and retrieval systems plays an important role in the organization of information. the deployment of universally accepted standards, therefore, facilitates the accomplishment of this goal. to achieve this goal, the ansi /niso z 39.19 -2005 standard offers certain rules and principles for constructing cont...