• 제목/요약/키워드: Random Sample

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A Sanov-Type Proof of the Joint Sufficiency of the Sample Mean and the Sample Variance

  • Kim, Chul-Eung;Park, Byoung-Seon
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.563-568
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    • 1995
  • It is well-known that the sample mean and the sample variance are jointly sufficient under normality assumption. In this paper a proof of the joint sufficiency is given without using the factorization criterion. It is related to a finite Sanov-type conditional theorem, i.e., the conditional probability density of $Y_1$ given sample mean $\mu$ and sample variance $\sigma^2$, where $Y_1, Y_2, \cdots, Y_n$ are independently and identically distributed (i.i.d.) normal random variables with mean m and variance $\delta^2$, equals that of $Y_1$ given sample mean $\mu$ and sample variance $\sigma^2$, where $Y_1, Y_2, \cdots, Y_n$ are i.i.d. normal random variables with mean $\mu$ and variance $\sigma^2$.

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랜덤 샘플 합의를 사용한 초경량 차량용 침입 탐지 시스템 (Ultra-Light-Weight Automotive Intrusion Detection System Using Random Sample Consensus)

  • 김종권;임형철;이주석;이성수
    • 전기전자학회논문지
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    • 제28권3호
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    • pp.412-418
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    • 2024
  • 본 논문은 RANSAC(Random Sample Consensus) 알고리즘을 활용하여 차량용 CAN 통신에서 발생하는 해킹 공격을 효과적으로 탐지하는 방법을 제안한다. 기존에 제안된 딥러닝 기반 탐지 기법은 차량과 같이 리소스가 제한된 환경에는 적용하기 어렵다는 한계가 있다. 본 논문에서는 RANSAC 알고리즘의 경량성과 효율성을 활용하여 차량용 CAN 통신에서의 공격 탐지 성능을 향상시켰다. RANSAC 알고리즘은 적은 연산 자원으로도 효과적인 탐지를 수행할 수 있어서 차량에 탑재 가능한 실용적인 해킹 탐지 솔루션을 제공할 수 있다.

Strong Consistent Estimator for the Expectation of Fuzzy Stochastic Model

  • Kim, Yun-Kyong
    • International Journal of Reliability and Applications
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    • 제1권2호
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    • pp.123-131
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    • 2000
  • This paper concerns with the consistent estimator for the fuzzy expectation of a random variable taking values in the space F($R^p$) of upper semicontinuous convex fuzzy subsets of $R^p$ with compact support. We introduce the concept of a fuzzy sample mean and show that the fuzzy sample mean is a strong consistent estimator for the fuzzy expectation. Some examples are given to illustrate the main result.

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나이브 성향점수보정 추정량의 정확성 향상을 위한 이중 사후층화 방법 연구 (A study to improve the accuracy of the naive propensity score adjusted estimator using double post-stratification method)

  • 여이수;신기일
    • 응용통계연구
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    • 제36권6호
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    • pp.547-559
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    • 2023
  • 표본조사에서 무응답의 적절한 처리는 추정의 정확성을 향상한다. 결측 메카니즘이 MCAR (missing completely at random) 또는 MAR (missing at random)인 경우에서는 이를 적절히 처리할 수 있는 다양한 방법이 연구되었다. 무응답이 발생하였을 때 사용하는 평균 추정량으로 흔히 성향점수보정 추정량이 사용되며 MAR 또는 MCAR 무응답인 경우, 알려진 표본 가중치와 타당한 방법으로 추정된 응답확률을 사용할 수 있으므로 성향점수보정 추정량은 불편추정량이 된다. 그러나 관심변수 값에 영향을 받는 무응답인 MNAR (missing not at random) 무응답에서는 정확한 응답확률을 구하는 것이 어려워 성향점수보정 추정량에 편향이 발생할 수 있다. Chung과 Shin (2017, 2022)은 무정보적 표본설계에서 MNAR 무응답이 발생하였을 때 평균 추정의 정확성을 향상하는 방법으로 단일 사후층화 방법을 제안하였다. 본 연구에서는 정보적 표본설계를 사용하고, MNAR 무응답이 발생한 경우에서 나이브 성향점수보정 추정량의 정확성 향상을 위한 이중 사후층화 방법을 제안하였다. 또한, 모의실험을 통해 제안된 방법의 우수성을 확인하였다.

HI LINEWIDTHS, ROTATION VELOCITIES AND THE TULLY-FISHER RELATION

  • Rhee, Myung-Hyun;Broeils, Adrick H.
    • Journal of Astronomy and Space Sciences
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    • 제22권2호
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    • pp.89-112
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    • 2005
  • We determine the rotation velocities of 108 spiral and irregular galaxies (XV-Sample) from first-order rotation curves from position-velocity maps, based on short 21-cm observations with the Westerbork Synthesis Radio Telescope (WSRT). To test the usual random motion corrections, we compare the global HI linewidths and the rotation velocities, obtained from kinematical fits to two-dimensional velocity fields for a sample of 28 galaxies (RC-Sample), and find that the most frequently used correction formulae (Tully & Fouque 1985) are not very satisfactory. The rotation velocity parameter (the random-motion corrected HI linewidth: W?), derived with these corrections, may be statistically equal to two times the true rotation velocity, but in individual cases the differences can be large. We analyse, for both RC- and XV-Samples, the dependence of the slope of, and scatter in the Tully-Fisher relation on the definition of the rotation velocity parameters- For the RC-Sample, we find that the scatter in the Tully-Fisher relation can be reduced considerably when the rotation velocities derived from rotation curves are used instead of the random-motion corrected global H I linewidths. No such reduction in the scatter is seen for XV-Sample. We conclude that the reduction of the scatter in the Tully-Fisher relation seems to be related to the use of two-dimensional velocity information: accurate rotation velocity and kinematical inclination.

이산확률분포에 대한 예비수학교사의 이해 분석 (A study on the understanding of mathematics preservice teachers for discrete probability distribution)

  • 이봉주;윤용식;임해미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권1호
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    • pp.47-62
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    • 2020
  • 본 연구에서는 이산확률분포 파악에 필요한 지식을 표본공간의 각 원소에 정의된 확률, 이산확률변수의 정의, 이산확률변수에 정의되는 확률, 그리고 이들 사이의 관계에 대한 지식으로 정의하고, 예비수학교사가 해당 지식을 어느 정도 이해하고 있는지에 대하여 살펴보았다. 이를 위해 검사 도구를 개발하고 사범대학생 47명을 대상으로 조사하였다.

무작위변량을 이용한 강우빈도분석시 내외삽오차에 관한 연구 (A Study on Error of Frequence Rainfall Estimates Using Random Variate)

  • 최한규;엄기옥
    • 산업기술연구
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    • 제20권A호
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    • pp.159-167
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    • 2000
  • In the study rainfall frequency analysis attemped the many specific property data record duration it is differance from occur to error-term and probability ditribution of concern manifest. error-term analysis of method are fact sample data using method in other hand it is not appear to be fault that sample data of number to be small random variates. Therefore, day-rainfall data: to randomicity consider of this study sample data to the Monte Carlo method by randomize after data recode duration of form was choice method which compared an assumed maternal distribution from splitting frequency analysis consequence. In the conclusion, frequency analysis of chuncheon region rainfall appeared samll RMSE to the Gamma II distribution. In the rainfall frequency analysis estimate RMSE using random variates great transform, RMSE is appear that return period increasing little by little RMSE incresed and data number incresing to RMSE decreseing.

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Random Sample Consensus(RANSAC) 기반 자동 바둑 기보 시스템 (Random Sample Consensus (RANSAC)-based Automatic (game of) Go Recording System)

  • 박동진;전경구
    • 한국멀티미디어학회논문지
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    • 제17권7호
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    • pp.829-837
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    • 2014
  • This paper develops an automatic go recording system based on image processing. We use Random Sample Consensus to detect the circular shape of stone and propose a set of methods to improve the computational overhead of RANSAC. The proposed scheme is not affected by the changes of stone location, illumination, and camera distance, which is different from existing methods. We implemented the proposed scheme into a working system and confirmed that the recording is feasible and the problems have been improved.

Determining the Optimal Subsampling Rate for Refusal Conversion in RDD Surveys

  • Park, In-Ho
    • Communications for Statistical Applications and Methods
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    • 제16권6호
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    • pp.1031-1036
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    • 2009
  • Under recent dramatic declines in response rates, various procedures have been considered among survey practitioners to reduce nonresponse in order to avoid its potential impairment to the inference. In the random digit dialing telephone surveys, substantial efforts are often required to obtain the initial contact for the screener interview. To reduce a burden with higher data collection costs, refusal conversion can be administered only to a random portion of the sample, reducing nonresponse (bias) with an expense of sample variability increment due to the associated weight adjustment. In this paper, we provide ways to determine the optimal subsampling rate using a linear cost model. Our approach for refusal subsampling is to predetermine a random portion from the full sample and to apply refusal conversion efforts if needed only to the subsample.

Variance estimation for distribution rate in stratified cluster sampling with missing values

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
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    • 제28권2호
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    • pp.443-449
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    • 2017
  • Estimation of population proportion like the distribution rate of LED TV and the prevalence of a disease are often estimated based on survey sample data. Population proportion is generally considered as a special form of population mean. In complex sampling like stratified multistage sampling with unequal probability sampling, the denominator of mean may be random variable and it is estimated like ratio estimator. In this research, we examined the estimation of distribution rate based on stratified multistage sampling, and determined some numerical outcomes using stratified random sample data with about 25% of missing observations. In the data used for this research, the survey weight was determined by deterministic way. So, the weights are not random variable, and the population distribution rate and its variance estimator can be estimated like population mean estimation. When the weights are not random variable, if one estimates the variance of proportion estimator using ratio method, then the variances may be inflated. Therefore, in estimating variance for population proportion, we need to examine the structure of data and survey design before making any decision for estimation methods.