#TITLE_ALTERNATIVE#

• Main Author: REZEITA SUMARA (NIM 10107042); Pembimbing : Khreshna I.A. Syuhada, M.Sc. PhD., ANDHA
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/13971
• Institution: Institut Teknologi Bandung

Uncertainty occurs in our life and brings risks to what we expect for the future. One <br /> <br /> <br /> <br /> <br /> thing we could do to control these risks is by transferring it into an insurance company. A person whose name is in the contract would put in a claim for her/his right. <br /> <br /> <br /> <br /> <br /> The condition in which a person may claim continuously is called persistence. This <br /> <br /> <br /> <br /> <br /> feature is discussed in this thesis. The detail about persistence is studied through <br /> <br /> <br /> <br /> <br /> some stochastic processes namely Markov Chain and Integer-Valued Autoregressive <br /> <br /> <br /> <br /> <br /> First Order or INAR(1) of Al Osh an Alzaid. <br /> <br /> <br /> <br /> <br /> In Markov Chain, the probability of claim is made or not in the future time, conditional on past and present claim situation, depends only on what claim situation <br /> <br /> <br /> <br /> <br /> is at present time. Meanwhile, an INAR(1) process is a counting process where <br /> <br /> <br /> <br /> <br /> number of claims for future time is the sum of number of claims at present time and <br /> <br /> <br /> <br /> <br /> claims that come between present and future times. Persistency of claims and its <br /> <br /> <br /> <br /> <br /> efect for both processes will be derived and investigated. Numerical examples for <br /> <br /> <br /> <br /> <br /> INAR(1) process are also provided.