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Asymptotic Approximation of Kernel-Type Estimators with Its Application

  • 장유선;김성래;김성균
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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    • 2003.09a
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    • pp.12.1-12
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    • 2003
  • Sufficient conditions are given under which a generalized class of kernel-type estimators allows asymptotic approximation On the modulus of continuity This generalized class includes sample distribution function, kernel-type estimator of density function, and an estimator that may apply to the censored case. In addition, an application is given to asymptotic normality of recursive density estimators of density function at an unknown point.

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A Study of Test for the Reliability of Weibull Distribution Using Hybrid Censoring (혼합중도중단에 의한 Weibull분포의 신뢰도에 관한 검정의 연구)

  • Yeom, Jun-Geun;Ham, Hyeong-Beom
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.48-58
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    • 1992
  • This paper deals with a test procedures on reliablity using hybrid censoring when failure time follows two parameter Weibull distribution. In each case of single and two stage test with hybrid censoring, we construct a operating characteristic curve, and then obtain the censoring number and sample size which the producer's risk and the consumer's risk are both satisfied. This study suggests to determine the expected waiting time at a decision.

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Estimation of Odds Ratio in Proportional Odds Model

  • Seo, Min-Ja;Kim, Ju-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.4
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    • pp.1067-1076
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    • 2006
  • Although the proportional hazards model is the most common approach used for studying the relationship of event times and covariates, alternative models are needed for occasions when it does not fit data. In the two-sample case, proportional odds models are useful for fitting data whose hazard rates converge asymptotically. In this thesis, we propose a new estimator of the relative odds ratio of the proportional odds model when two independent random samples are observed under uncensorship. We prove the asymptotic normality and consistency of the estimator by using martingale-representation. The efficiency of the proposed is assessed through a simulation study.

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On EM Algorithm For Discrete Classification With Bahadur Model: Unknown Prior Case

  • Kim, Hea-Jung;Jung, Hun-Jo
    • Journal of the Korean Statistical Society
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    • v.23 no.1
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    • pp.63-78
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    • 1994
  • For discrimination with binary variables, reformulated full and first order Bahadur model with incomplete observations are presented. This allows prior probabilities associated with multiple population to be estimated for the sample-based classification rule. The EM algorithm is adopted to provided the maximum likelihood estimates of the parameters of interest. Some experiences with the models are evaluated and discussed.

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An Analysis of Economic Efficiency of Fruits and Vegetables Farms: the Case of Strawberries and Tomatoes Farms (과채 재배농가의 경영현황 및 경영효율성 분석 : 딸기·토마토를 중심으로)

  • Jung, Da-Eun;Yang, Seung-Ryong
    • Korean Journal of Organic Agriculture
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    • v.24 no.3
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    • pp.385-412
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    • 2016
  • This paper analyzes economic efficiency of strawberries and tomatoes farms using the data envelopment analysis (DEA). We examine how production characteristics and farm size affect overall efficiency (OE), allocative efficiency (AE), and technological efficiency (TE). We also survey sample farm households from the Farm Income Investigation database of Rural Development Administration to investigate management and cultivation techniques and to analyze economic efficiency by technique. Implications for improving efficiency are suggested in the conclusion.

Multi-Dimensional Index of Quality of Life: The Pakistan Case

  • Gilani, Bilal Ijaz;Salman, Rohail
    • Asian Journal for Public Opinion Research
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    • v.2 no.1
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    • pp.32-51
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    • 2014
  • Quality of Life in Pakistan is an understudied and rather unexplored domain. With various definitions and challenges to explaining quality of life, a public opinion poll and scientific surveys have been conducted in order to find out more about the quality of life in Pakistan. Using a nationally representative sample, this paper seeks to identify quality of life measures, find results, and analyze them to see what they mean, specifically in the context of Pakistan.

Modified Nayak's Randomized Response Model

  • Lee, Gi-Sung;Hong, Ki-Hak
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.117-130
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    • 1999
  • Nayak(1994) suggested a combined randomized response model that combined the Warner's model and greenberg et al.'s model. In this paper we extend Nayak's model to two sample case of including unknown unrelated character also propose some combined models such W-M model and G-M model that modify the Nayak's model. We suggest the efficiency conditions of our models for Nayak's model, also find the efficiency condition of G-M model for the W-M model.

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Nonparametric empirical bayes estimation of a distribution function with respect to dirichlet process prior in case of the non-identical components (분포함수의 추정및 응용에 관한연구(Dirichlet Process에 의한 비모수 결정이론을 중심으로))

  • 정인하
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.173-181
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    • 1993
  • Nonparametric empirical Bayes estimation of a distribution function with respect to dirichlet process prior is considered when sample sizes are varying from component to component. Zehnwirth's estimate of $\alpha$(R) is modified to be used in our empirical Bayes problem with non-identical components.

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A Test Procedure for Checking the Proportionality Between Hazard Functions

  • Lee, Seong-Won;Kim, Ju-Seong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.561-570
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    • 2003
  • We propose a nonparametric test procedure for checking the proportionality assumption between hazard functions using a functional equation. Because of the involvement of censoring distribution function, we consider the large sample case only and obtain the asymptotic normality of the proposeed test statistic. Then we discuss the rationale of the use of the functional equation, give some examples and compare the performances with Andersen's procedure by computing powers through simulations.

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Exponential Probability Clustering

  • Yuxi, Hou;Park, Cheol-Hoon
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.671-672
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    • 2008
  • K-means is a popular one in clustering algorithms, and it minimizes the mutual euclidean distance among the sample points. But K-means has some demerits, such as depending on initial condition, unsupervised learning and local optimum. However mahalanobis distancecan deal this case well. In this paper, the author proposed a new clustering algorithm, named exponential probability clustering, which applied Mahalanobis distance into K-means clustering. This new clustering does possess not only the probability interpretation, but also clustering merits. Finally, the simulation results also demonstrate its good performance compared to K-means algorithm.

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