• Title/Summary/Keyword: Hill's Estimator

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Estimation of Car Insurance Loss Ratio Using the Peaks over Threshold Method (POT방법론을 이용한 자동차보험 손해율 추정)

  • Kim, S.Y.;Song, J.
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.101-114
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    • 2012
  • In car insurance, the loss ratio is the ratio of total losses paid out in claims divided by the total earned premiums. In order to minimize the loss to the insurance company, estimating extreme quantiles of loss ratio distribution is necessary because the loss ratio has essential prot and loss information. Like other types of insurance related datasets, the distribution of the loss ratio has heavy-tailed distribution. The Peaks over Threshold(POT) and the Hill estimator are commonly used to estimate extreme quantiles for heavy-tailed distribution. This article compares and analyzes the performances of various kinds of parameter estimating methods by using a simulation and the real loss ratio of car insurance data. In addition, we estimate extreme quantiles using the Hill estimator. As a result, the simulation and the loss ratio data applications demonstrate that the POT method estimates quantiles more accurately than the Hill estimation method in most cases. Moreover, MLE, Zhang, NLS-2 methods show the best performances among the methods of the GPD parameters estimation.

The Investigation of Mineral Distribution at Spirit Rover Landing Site: Gusev Crater by CRISM Hyperspectral data and Target Detection Algorithm (CRISM 초분광 영상과 표적 탐지 알고리즘을 이용한 Spirit 로버 탐사 지역: Gusev Crater의 광물 분포 조사)

  • Baik, Hyun-Seob;Kim, Kwang-Eun
    • Korean Journal of Remote Sensing
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    • v.32 no.5
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    • pp.403-412
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    • 2016
  • Compact Reconnaissance Imaging Spectrometer for Mars(CRISM) is 489-band hyperspectral camera of Mars Reconnaissance Orbiter(MRO) that provided data used on many mineral researches over Martian surface. For the detection of minerals in planet, mineral index using a few spectral bands have been used. In this study, we applied Matched Filter and Adaptive Cosine Estimator(ACE) target detection algorithm on CRISM data over Gusev Crater: landing site of Spirit(Mars Exploration Rover A) to investigate its mineral distribution. As a result, olivine, pyroxene, magnetite, etc. is detected at Gusev Crater's Columbia Hills. These results are corresponding to the Spirit rover's field survey result. It is expected that hyperspectral target detection algorithms can be used as effective and easy to use method for the detection and mapping of surface minerals in planet.

A Study on the Theory of Power-law and Science Technology Policy System under Convergence Technology Environment (융합기술환경에서 멱법칙과 과학기술정책체계분석)

  • Cho, Sang-Sup
    • Journal of Korea Technology Innovation Society
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    • v.15 no.1
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    • pp.28-46
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    • 2012
  • This paper proposes the science and technology policy implications of power law in econophysics methodology under the recent convergence technology environment. Empirical results are summarized as follow: first, similar empirical results are showed up using Hill estimates and Rank-1/2 estimates in patent data set during 1990 through 2008. Second, the estimates of power law exponents for technology capability distribution are decreased during the periods. The policy implications for science and technology development draw from the empirical results. First, the fact that the exponents of power law are decreased show the convergence of technology capability among countries. The our country policy directs focus on the innovation strategy rather than imitation strategy. Second, the volatility of technology change results from a few capable technology developers so that policy direct may need to control the technology power in the large technology developer or company. The methodology and analytical results used in the paper may also be useful for consider for the science and technology phenomena such as convergence and divergence of technologies among countries in the world.

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