DISTRIBUSI LOG-LINDLEY UNTUK PEMODELAN BESAR KLAIM ASURANSI PADA PERHITUNGAN PREMI TOTAL; THE LOG-LINDLEY DISTRIBUTION FOR INSURANCE CLAIM SEVERITY MODELING IN TOTAL PREMIUM CALCULATION

Anindyatri, Anisya Oktaviana, Abdurakhman

2016 | Skripsi | FMIPA

The effective insurance premium calculation is one of important thing that make the policy holders and insurance company in the balanced economy position with the insurance. For insurance company, the simplest premium principle calculation is by calculating the expected value of insurance risk. This premium called net premium. Claim that consist of frequency and severity can be said as one of insurance risk. It needs agreement between the policy holders and insurance company about the risk distribution to calculate the expected value of insurance risk. But , sometimes, there is no consensus about the risk distribution. So, the insurance company makes a decision to add a loading to the risk that reflect the danger associated with the risk that can happen. One way to do this is to transform the initial CDF of claim severity with distortion function that can produce a new CDF of it. The Log-Lindley distribution can be used as distortion function because it is continous and non-decreasing function. Then, this premium will be compared with the net premium and the dual power premium, and the result show that this premium greater than the net premium and smaller than the dual power premium.

Kata Kunci : severity, distortion function, Log-Lindley distribution, net premium, dual power premium