• 제목/요약/키워드: sample statistics

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Estimation of the exponential distribution based on multiply Type I hybrid censored sample

  • Lee, Kyeongjun;Sun, Hokeun;Cho, Youngseuk
    • Journal of the Korean Data and Information Science Society
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    • 제25권3호
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    • pp.633-641
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    • 2014
  • The exponential distibution is one of the most popular distributions in analyzing the lifetime data. In this paper, we propose multiply Type I hybrid censoring. And this paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply Type I hybrid censoring. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types ($AMLE_I$, $AMLE_{II}$). We also obtain the maximum likelihood estimator (MLE) of the scale parameter ${\sigma}$ under the proposed multiply Type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The $AMLE_{II}$ is better than $AMLE_I$ in the sense of the RMSE.

THREE-WAY BALANCED MULTI-LEVEL ROTATION SAMPLING DESIGNS

  • Park, Y. S.;Kim, K. W.;Kim, N. Y.
    • Journal of the Korean Statistical Society
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    • 제32권3호
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    • pp.245-259
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    • 2003
  • The 2-way balanced one-level rotation design has been discussed (Park et al., 2001), where the 2-way balancing is done on interview time in monthly sample and rotation group. We extend it to 3-way balanced multi-level design to obtain more information of the same sample unit for one or more previous months. The 3-way balancing is accomplished not only on interview time in monthly sample and rotation group but also on recall time as well. The 3-way balancing eliminates or reduces any bias arising from unbalanced interview time, rotation group and recall time, and all rotation groups are equally represented in the monthly sample. We present the rule and rotation algorithm which guarantee the 3-way balancing. In particular, we specify the necessary and sufficient condition for the 3-way balanced multi-level rotation design.

반복조사에서 설계요소를 반영한 표본수 결정 (Sample size determination using design effect formula for repeated surveys)

  • 박인호;황현길
    • 응용통계연구
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    • 제32권4호
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    • pp.643-652
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    • 2019
  • 본 연구에서는 반복조사의 표본재설계에서 설계요소를 반영한 표본수 결정 방법을 제안하였다. 제안된 방법은 다단추출과 층화다단추출 등에 적용할 수 있으며 시점간 모집단 구성 변화, 집락효과, 표본할당 등의 주된 설계요소가 갖는 표본오차에 대한 영향력을 구분하여 반영하므로 보다 전략적인 표본수 결정이 가능할 수 있다.

A Bivariate Two Sample Rank Test for Mixture Distributions

  • Songyong Sim;Seungmin Lee
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.197-204
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    • 1996
  • We consider a two sample rank test for a bivariate mixture distribution based on Johnson's quantile score. The test statistic is simple to calculate and the exact distribution under the null hypothesis is obtained. A numerical example is given.

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Estimation in the exponential distribution under progressive Type I interval censoring with semi-missing data

  • Shin, Hyejung;Lee, Kwangho
    • Journal of the Korean Data and Information Science Society
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    • 제23권6호
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    • pp.1271-1277
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    • 2012
  • In this paper, we propose an estimation method of the parameter in an exponential distribution based on a progressive Type I interval censored sample with semi-missing observation. The maximum likelihood estimator (MLE) of the parameter in the exponential distribution cannot be obtained explicitly because the intervals are not equal in length under the progressive Type I interval censored sample with semi-missing data. To obtain the MLE of the parameter for the sampling scheme, we propose a method by which progressive Type I interval censored sample with semi-missing data is converted to the progressive Type II interval censored sample. Consequently, the estimation procedures in the progressive Type II interval censored sample can be applied and we obtain the MLE of the parameter and survival function. It will be shown that the obtained estimators have good performance in terms of the mean square error (MSE) and mean integrated square error (MISE).

A Note on Determination of Sample Size for a Likert Scale

  • Park, Jin-Woo;Jung, Mi-Sook
    • Communications for Statistical Applications and Methods
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    • 제16권4호
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    • pp.669-673
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    • 2009
  • When a social scientist prepares to conduct a survey, he/she faces the problem of deciding an appropriate sample size. Sample size is closely connected with cost, time, and the precision of the sample estimate. It is thus important to choose a size appropriate for the survey, but this may be difficult for survey researchers not skilled in a sampling theory. In this study we propose a method to determine a sample size under certain assumptions when the quantity of interest is measured by a Likert scale.

Bayesian Prediction Analysis for the Exponential Model Under the Censored Sample with Incomplete Information

  • 김영훈;고정환
    • Journal of the Korean Data and Information Science Society
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    • 제13권1호
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    • pp.139-145
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    • 2002
  • This paper deals with the problem of obtaining the Bayesian predictive density function and the prediction intervals for a future observation and the p-th order statistics of n future observations for the exponential model under the censored sampling with incomplete information.

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An Objective Bayesian Inference for the Difference between Two Normal Means

  • Jang, Eun-Jin;Kim, Dal-Ho;Lee, Kyeong-Eun
    • Journal of the Korean Data and Information Science Society
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    • 제17권4호
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    • pp.1365-1374
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    • 2006
  • In this paper, we consider a decision-theoretic oriented, objective Bayesian inference for the difference between two normal means with known variances. We derive the Bayesian reference criterion as well as the intrinsic estimator and the credible region which correspond to the intrinsic discrepancy loss and the reference prior. We show the similarity between derived two-sample results and the results for the one-sample case in Bernardo(1999).

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