• Communications for Statistical Applications and Methods
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• v.22 no.1
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• pp.95-103
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• 2015

We introduce a surplus process which follows a diffusion process with positive drift and is subject to two types of claim. We assume that type I claim occurs more frequently, however, its size is stochastically smaller than type II claim. We obtain the ruin probability that the level of the surplus becomes negative, and then, decompose the ruin probability into three parts, two ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example, when the sizes of both types of claim are exponentially distributed, to compare the impacts of two types of claim on the ruin probability of the surplus along with that of the diffusion process.

• IE interfaces
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• v.23 no.2
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• pp.176-181
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• 2010

Warranty claim data analysis is a useful tool for the manufacturer because it contains many useful informations regarding reliability of the product in the real-world environments. Because of the nature of uncertainty and the incompleteness of data, some bias patterns are observed on warranty claim rate known as 'spikes'. Two types of spikes are considered. One is due to manufacturing-related failures. The other is caused by customer's behavior. This paper proposes a model by considering two types of spikes. Warranty claim data is analyzed with the proposed model. To represent spikes observed on the early warranty period, we classify failures into manufacturing-related failures and usage-related failures. Uniform distribution is assumed for the time delayed to diagnose and report by customers. By reducing maximum value of the delayed time by customers, the proposed model characterizes customer's rush in the vicinity of the warranty expiration limit. Experimental results by using the real warranty claim data show that the proposed model is better than the existing one in respect to MSE(Mean Squared Error). Moreover it is expected to estimate the failure rate more realistically with proposed model because it considers the delayed time to diagnose and report by customers.

• Journal of the Korean Mathematical Society
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• v.50 no.1
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• pp.111-125
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• 2013

In this paper, we consider a continuous time risk model involving two types of dependent claims, namely main claims and by-claims. The by-claim is induced by the main claim and the occurrence of by-claim may be delayed depending on associated main claim amount. Using Rouch$\acute{e}$'s theorem, we first derive the closed-form solution for the Laplace transform of the survival probability in the dependent risk model from an integro-differential equations system. Then, using the Laplace transform, we derive a defective renewal equation satisfied by the survival probability. For the exponential claim sizes, we present the explicit formula for the survival probability. We also illustrate the influence of the model parameters in the dependent risk model on the survival probability by numerical examples.

• The Journal of the Korean life insurance medical association
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• v.28 no.1_2
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• pp.31-35
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• 2009

Background : Many of internists have been working for insurance industry. Insurance medicine is use of medical knowledge for insurance industry. There is social role of insurance medicine in terms of soundness of insurance administration. Recently social role of internists also have been being watched. Although theme of insurance medicine is medical risk selection, insurance claims administration also needs medical experts'opinion. There are not any corroborative study of medical consulting for insurance claims. Among insurance industry, someone called this medical review of insurance claims as 'medical claims review'. Aim : To investigate usefulness of medical review of insurance claims. Design : Questionnaire survey with claim staffs in one of insurance claim adjustment company in Korea. Methods : 265 claim staffs were divided into 4 groups and conducted survey using a questionnaire of 20 questions. Utility score, job satisfaction score, and difficult factors of claims administration were measured. Results : Utility score and job satisfaction score are highest in medical claims review group. The most difficult in claim administration to claim staffs was demonstrated to medical knowledge. Conclusion : Medical review of insurance claims is proved to be worthy. Document-based consulting method, namely medical claims review, is more useful than telephone-based simple query among claim staffs...Subjects of the medical claims review are medical record and it's principle is independent medical examination with evidence-based approach, it also has role of protecting fraud of insurance claims. Two main question types of medical claims review are verification and advice.

• Journal of Korean Society for Quality Management
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• v.21 no.1
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• pp.22-34
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• 1993

In claiming for the purchased products, two types of errors can occur from the consumer's point of view. One is to accept defective products and the other one is to reject good products. Due to such errors, Claim rate for the products is expected to be different from that the producer has originally anticipated. In this paper, the probability distribution of the number of claimed products when such consumer's inspection errors are involved is derived. Then, a simple model is provided to estimate the claim rate when such errors are present.

• Journal of Korean Society for Quality Management
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• v.28 no.1
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• pp.57-77
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• 2000

A two-dimensional warranty policy, two types of warranty criteria, such as the age and mileage of an automobile, are employed simultaneously to determine the eligibility of a warranty claim. We deal with the analysis of a variety of combined two-dimensional free replacement warranty(FRW) and pro-rata replacement warranty(PRW). In this paper we also propose the analysis of policies with item failures modelled using the one-dimensional and two-dimensional approach, respectively. We obtain expressions for the expected warranty costs and illustrate through numerical examples.

• The Korean Journal of Applied Statistics
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• v.25 no.5
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• pp.813-820
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• 2012

A surplus process with two types of claims is considered, where Type I claims occur more frequently, however, their sizes are smaller stochastically than Type II claims. The ruin probabilities of the surplus caused by each type of claim are obtained by establishing integro-differential equations for the ruin probabilities. The formulas of the ruin probabilities contain an infinite sum and convolutions that make the formulas hard to be applicable in practice; subsequently, we obtain explicit formulas for the ruin probabilities when the sizes of both types of claims are exponentially distributed. Finally, we show through a numerical example, that Type II claims have more impact on the ruin probability of the surplus than Type I claims.

• Journal of the Korean Data and Information Science Society
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• v.24 no.1
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• pp.1-12
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• 2013

In this paper, we introduce a continuous-time risk model where the surplus follows a diffusion process with positive drift while being subject to two types of claims. We assume that the sizes of both types of claims are exponentially distributed and that type I claims occur more frequently, however, their sizes are smaller than type II claims. We obtain the ruin probability that the level of the surplus becomes negative, by establishing an integro-differential equation for the ruin probability. We also obtain the ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example to compare the impacts of two types of claim on the ruin probability of the surplus with that of the diffusion process in the risk model.

• Phonetics and Speech Sciences
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• v.3 no.4
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• pp.45-53
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• 2011

Flemming and Johnson (2007) claim that there is a fundamental distinction between the mid central vowel [ə] and the high central vowel [?] in that [ə] occurs in an unstressed word-final position while [?] appears elsewhere. Compared to English counterparts, Korean [ə] and [?] are full vowels and they have phonemic contrast. The purpose of this paper is to explore the acoustic quality of two English reduced vowels produced by Korean learners and native speakers of English in terms of their two formant frequencies. Sixteen Korean learners of English and six native speakers of English produced four types of English words and two types of Korean words with different phonological and morphological patterns. The results show that Korean learners of English produced the two reduced vowels of English and their Korean counterparts differently in Korean and English words.

• Journal of the Korea Institute of Building Construction
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• v.20 no.6
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• pp.527-535
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• 2020

This study analyzed main causes of claims in EPC/Turnkey projects. For this purpose, this study referred to the FIDIC silver book, which lists the international standard contract conditions for EPC/Turnkey projects. The most frequent cause of claim was delay. A process was then proposed to determine whether the owner or contractor was the responsible party when the delay claim occurred. The proposed process was for damages for delay which is the conditions of contract for indemnities against delay claim. The process was based on conditions of the contract of two previous EPC/Turnkey projects that were constructed in 2010, the FIDIC silver book, as well as the obligations of owner and contactors. The proposed process is applicable depending on the conditions of the contract and the owner's meaning. Furthermore, by identifying the responsible party, this study will contribute in identifying the possible claim types before concluding a contract and writing the specific contract.