Advanced & Applied Topics · Actuarial Science & Risk Theory

Advanced Actuarial Science · Ruin Theory and Stochastic Processes

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Actuarial Sciences · Risk Theory

Overview

Topics covered

  • Introduction
  • Ruin Theory and Stochastic Processes
  • The Classic Risk Model (Cramér-Lundberg)
  • The Net Profit Condition (NPC)
  • The Time of Ruin and Associated Probabilities
  • The Integer-Differential Equation for

Related concepts

Main connections

  • Calculus & differentiation
  • Survival analysis & Kaplan-Meier
  • Poisson distribution
  • Mathematical expectation & moments
  • Mean & expected value
  • Variance & standard deviation

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

U(t)=u+ct−S(t),t≥0
View LaTeX sourceU(t) = u + ct - S(t), \qquad t \ge 0