Perbandingan Distribusi Weibull, Pareto, dan Generalized Logistic Dalam Pemodelan Severitas Pembayaran Klaim Asuransi PT Jasa Raharja Cabang Kalimantan Timur

Oktar, Adnan (2026) Perbandingan Distribusi Weibull, Pareto, dan Generalized Logistic Dalam Pemodelan Severitas Pembayaran Klaim Asuransi PT Jasa Raharja Cabang Kalimantan Timur. Bachelor thesis, Institut Teknologi Kalimantan.

	Text 17221035_cover.pdf Restricted to Repository staff only until 3 October 2028. Download (561kB) | Request a copy
	Text 17221035_statement_of_authenticity.pdf Restricted to Repository staff only until 3 October 2028. Download (267kB) | Request a copy
	Text 17221035_publishing_agreement.pdf Restricted to Repository staff only until 3 October 2028. Download (316kB) | Request a copy
	Text 17221035_approval_sheet.pdf Restricted to Repository staff only until 3 October 2028. Download (719kB) | Request a copy
	Text 17221035_preface.pdf Restricted to Repository staff only until 3 October 2028. Download (304kB) | Request a copy
	Text 17221035_abstract_id.pdf Restricted to Repository staff only until 3 October 2028. Download (323kB) | Request a copy
	Text 17221035_abstract_en.pdf Restricted to Repository staff only until 3 October 2028. Download (287kB) | Request a copy
	Text 17221035_table_of_content.pdf Restricted to Repository staff only until 3 October 2028. Download (312kB) | Request a copy
	Text 17221035_illustrations.pdf Restricted to Repository staff only until 3 October 2028. Download (263kB) | Request a copy
	Text 17221035_tables.pdf Restricted to Repository staff only until 3 October 2028. Download (261kB) | Request a copy
	Text 17221035_notations.pdf Restricted to Repository staff only until 3 October 2028. Download (319kB) | Request a copy
	Text 17221035_chapter_1.pdf Restricted to Repository staff only until 3 October 2028. Download (530kB) | Request a copy
	Text 17221035_chapter_2.pdf Restricted to Repository staff only until 3 October 2028. Download (634kB) | Request a copy
	Text 17221035_chapter_3.pdf Restricted to Repository staff only until 3 October 2028. Download (415kB) | Request a copy
	Text 17221035_chapter_4.pdf Restricted to Repository staff only until 3 October 2028. Download (675kB) | Request a copy
	Text 17221035_conclusions.pdf Restricted to Repository staff only until 3 October 2028. Download (334kB) | Request a copy
	Text 17221035_bibliography.pdf Restricted to Repository staff only until 3 October 2028. Download (305kB) | Request a copy
	Text 17221035_enclosure.pdf Restricted to Repository staff only until 3 October 2028. Download (779kB) | Request a copy
	Text 17221035_paper.pdf Restricted to Repository staff only until 3 October 2028. Download (801kB) | Request a copy
	Text 17221035_presentation.pdf Restricted to Repository staff only until 3 October 2028. Download (1MB) | Request a copy

Abstract

This study discusses the modeling of insurance claim payment severity at PT Jasa Raharja (Persero) East Kalimantan Branch. Claim severity in this study refers to the nominal amount of compensation or claim payments provided to traffic accident victims or their heirs. The objectives of this study are to estimate the parameters of the Weibull, Pareto, and Generalized Logistic distributions, analyze the goodness-of-fit of each distribution, and determine the most appropriate distribution for modeling claim severity data. The data used consist of 476 claim payment records from January 1, 2023, to December 31, 2025. Parameter estimation is conducted using Maximum Likelihood Estimation (MLE) with Newton-Raphson numerical solution. The goodness-of-fit test is performed using the Kolmogorov-Smirnov test, while the best distribution is selected based on the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The descriptive statistics show that the data have a minimum value of IDR 5,003,593, a maximum value of IDR 50,000,000, a mean value of IDR 16,274,646, and a positive skewness value of 1.4257. The maximum value of IDR 50,000,000 is related to government compensation regulations for certain claim types, such as death benefits and permanent disability benefits, which affects the distribution pattern of the data. The Kolmogorov-Smirnov test results show that the Weibull and Pareto distributions are not suitable for the data because their p-values are less than 0.05, whereas the Generalized Logistic distribution obtains a p-value of 0.111713. In addition, the Generalized Logistic distribution produces an AIC value of 16429.76 and a BIC value of 16442.26, which are lower than those of the Weibull and Pareto distributions. Thus, the Generalized Logistic distribution is the most appropriate distribution to describe the severity of insurance claim payments at PT Jasa Raharja (Persero) East Kalimantan Branch.

Item Type:	Thesis (Bachelor)
Subjects:	Q Science > QA Mathematics
Divisions:	Jurusan Matematika dan Teknologi Informasi > Ilmu Aktuaria
Depositing User:	Adnan Oktar
Date Deposited:	14 Jul 2026 01:03
Last Modified:	14 Jul 2026 01:03
URI:	http://repository.itk.ac.id/id/eprint/26293

Actions (login required)

View Item