• Title/Summary/Keyword: balanced loss functions

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Bayes and Empirical Bayes Estimation of the Scale Parameter of the Gamma Distribution under Balanced Loss Functions

  • Rezaeian, R.;Asgharzadeh, A.
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.71-80
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    • 2007
  • The present paper investigates estimation of a scale parameter of a gamma distribution using a loss function that reflects both goodness of fit and precision of estimation. The Bayes and empirical Bayes estimators rotative to balanced loss functions (BLFs) are derived and optimality of some estimators are studied.

Improved Estimation of Poisson Menas under Balanced Loss Function

  • Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.767-772
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    • 2000
  • Zellner(1994) introduced the notion of a balanced loss function in the context of a general liner model to reflect both goodness of fit and precision of estimation. We study the perspective of unifying a variety of results both frequentist and Bayesian from Poisson distributions. We show that frequentist and Bayesian results for balanced loss follow from and also imply related results for quadratic loss functions reflecting only precision of estimation. Several examples are given for Poisson distribution.

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Bayesian and maximum likelihood estimations from exponentiated log-logistic distribution based on progressive type-II censoring under balanced loss functions

  • Chung, Younshik;Oh, Yeongju
    • Communications for Statistical Applications and Methods
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    • v.28 no.5
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    • pp.425-445
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    • 2021
  • A generalization of the log-logistic (LL) distribution called exponentiated log-logistic (ELL) distribution on lines of exponentiated Weibull distribution is considered. In this paper, based on progressive type-II censored samples, we have derived the maximum likelihood estimators and Bayes estimators for three parameters, the survival function and hazard function of the ELL distribution. Then, under the balanced squared error loss (BSEL) and the balanced linex loss (BLEL) functions, their corresponding Bayes estimators are obtained using Lindley's approximation (see Jung and Chung, 2018; Lindley, 1980), Tierney-Kadane approximation (see Tierney and Kadane, 1986) and Markov Chain Monte Carlo methods (see Hastings, 1970; Gelfand and Smith, 1990). Here, to check the convergence of MCMC chains, the Gelman and Rubin diagnostic (see Gelman and Rubin, 1992; Brooks and Gelman, 1997) was used. On the basis of their risks, the performances of their Bayes estimators are compared with maximum likelihood estimators in the simulation studies. In this paper, research supports the conclusion that ELL distribution is an efficient distribution to modeling data in the analysis of survival data. On top of that, Bayes estimators under various loss functions are useful for many estimation problems.

Comparison of Loss Function for Multi-Class Classification of Collision Events in Imbalanced Black-Box Video Data (불균형 블랙박스 동영상 데이터에서 충돌 상황의 다중 분류를 위한 손실 함수 비교)

  • Euisang Lee;Seokmin Han
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.24 no.1
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    • pp.49-54
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    • 2024
  • Data imbalance is a common issue encountered in classification problems, stemming from a significant disparity in the number of samples between classes within the dataset. Such data imbalance typically leads to problems in classification models, including overfitting, underfitting, and misinterpretation of performance metrics. Methods to address this issue include resampling, augmentation, regularization techniques, and adjustment of loss functions. In this paper, we focus on loss function adjustment, particularly comparing the performance of various configurations of loss functions (Cross Entropy, Balanced Cross Entropy, two settings of Focal Loss: 𝛼 = 1 and 𝛼 = Balanced, Asymmetric Loss) on Multi-Class black-box video data with imbalance issues. The comparison is conducted using the I3D, and R3D_18 models.

Bayes Risk Comparison for Non-Life Insurance Risk Estimation (손해보험 위험도 추정에 대한 베이즈 위험 비교 연구)

  • Kim, Myung Joon;Woo, Ho Young;Kim, Yeong-Hwa
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.1017-1028
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    • 2014
  • Well-known Bayes and empirical Bayes estimators have a disadvantage in respecting to overshink the parameter estimator error; therefore, a constrained Bayes estimator is suggested by matching the first two moments. Also traditional loss function such as mean square error loss function only considers the precision of estimation and to consider both precision and goodness of fit, balanced loss function is suggested. With these reasons, constrained Bayes estimators under balanced loss function is recommended for non-life insurance pricing.; however, most studies focus on the performance of estimation since Bayes risk of newly suggested estimators such as constrained Bayes and constrained empirical Bayes estimators under specific loss function is difficult to derive. This study compares the Bayes risk of several Bayes estimators under two different loss functions for estimating the risk in the auto insurance business and indicates the effectiveness of the newly suggested Bayes estimators with regards to Bayes risk perspective through auto insurance real data analysis.

Estimation based on lower record values from exponentiated Pareto distribution

  • Yoon, Sanggyeong;Cho, Youngseuk;Lee, Kyeongjun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.5
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    • pp.1205-1215
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    • 2017
  • In this paper, we aim to estimate two scale-parameters of exponentiated Pareto distribution (EPD) based on lower record values. Record values arise naturally in many real life applications involving data relating to weather, sport, economics and life testing studies. We calculate the Bayesian estimators for the two parameters of EPD based on lower record values. The Bayes estimators of two parameters for the EPD with lower record values under the squared error loss (SEL), linex loss (LL) and entropy loss (EL) functions are provided. Lindley's approximate method is used to compute these estimators. We compare the Bayesian estimators in the sense of the bias and root mean squared estimates (RMSE).

Dual-Band Balanced Mixer using Nonlinear Phase Characteristic of CRLH Transmission Line (CRLH 전송선로의 비선형 위상 특성을 이용한 이중대역 평형 믹서)

  • Jung, Youn-Woo;Kim, Young;Yoon, Young-Chul
    • Journal of Advanced Navigation Technology
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    • v.15 no.1
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    • pp.97-103
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    • 2011
  • This paper presents a dual-band balanced mixer using nonlinear phase characteristic of composite right/left-handed (CRLH) transmission line. This metamaterial structure provides low LO leakage and high RF to LO isolation without additional filters for LO and RF path. The balanced mixer consists of balun and Wilkinson divider with dual-band characteristic of unit-cell which behaves like a CRLH metamaterial. Experimental results are used to verify the proposed metamaterial functions. The balanced mixer design results in an operating frequency of 870 MHz and 1660 MHz with an optimum mixer conversion loss of 15.2 dB at 870 MHz and 21.2 dB at 1660 MHz.

Balanced Mixer Based on Composite Right/Left-Handed Transmission Line Leaky-Wave Antenna (CRLH 전송 선로 리키 웨이브 안테나를 이용한 평형 믹서)

  • Kim, Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.9
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    • pp.985-991
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    • 2008
  • This paper presents a novel balanced mixer receiver front-end design based on a metamaterial structure applicable to differential-/common-mode excitation. This metamaterial structure functions as a leaky-wave antenna and provides in-trinsic common-mode suppression. Low LO leakage and high RF to LO isolation are achieved without additional filters for LO and RF paths. The metamaterial is based on a unit-cell which under a differential-mode excitation behaves like a composite right/left-handed(CRLH) metamaterial. In contrast, the metamaterial unit-cell is below cut-off under a common-mode excitation. Experimental results are used to verify the proposed metamaterial's differential-/common-mode characteristics. The metamaterial is integrated with a balanced mixer design resulting in an operation frequency range of $1.96{\sim}2.40$ GHz with an optimum mixer conversion loss of 21.1 dB at 2,4 GHz.

A Study on the Assessment of Rurality Characteristics in Rural Amenity Resources (농촌어메니티자원의 농촌다움 특성 평가에 관한 연구)

  • Lee, Jeung-Won;Jeong, Yoon-Hee;Im, Seung-Bin
    • Journal of Korean Society of Rural Planning
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    • v.12 no.2 s.31
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    • pp.1-9
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    • 2006
  • Current environmental problems of rural area are connected to loss of rural functions which is food security as well as conservation of environment, balanced development of country and succession of traditional culture. To solve these problems, recent projects are focusing on social changes in rural area and conservation of rurality creating values of rural amenity resources. At this point, full implications of rurality which is the various aspects of rurality should be defined to be applied in direct plans to conserve the rurality. In this study, nine attributes of rurality are found as various meanings with adjectives included in image of rurality. For practical use of these adjectives of rurality attributes, we evaluate the list of rural amenity resources and suggested plans for conservation of rural amenity. These attributes can be used as an effective method for village plan which brings one of the attributes into relief.

Development of an ATM switch simulator (ATM 스위치 시뮬레이터의 개발)

  • 변성혁;김덕경;이승준;허정원;선단근;박홍식
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.9
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    • pp.1209-1218
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    • 1995
  • In this paper, we develope an ATM switch simulator in order to evaluate the HAN/B-ISDN ATM switch currently being developed by ETRI. It models the basic cell switching functions of the target ATM switch with priority control and multicasting features and it also supports such various traffic models as random or bursty traffic, balanced or unbalanced traffic, multicast traffic models. Using this simulator, we can evaluate the performances of the ATM switch in terms of various performance indices, i.e. cell delay, cell loss probability, etc., and this simulator can be utilized in the system parameter tunings such as the common buffer size and address buffer size.

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