• Title/Summary/Keyword: Nonparametric method

Search Result 342, Processing Time 0.027 seconds

Applying Bootstrap to Time Series Data Having Trend (추세 시계열 자료의 부트스트랩 적용)

  • Park, Jinsoo;Kim, Yun Bae;Song, Kiburm
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.38 no.2
    • /
    • pp.65-73
    • /
    • 2013
  • In the simulation output analysis, bootstrap method is an applicable resampling technique to insufficient data which are not significant statistically. The moving block bootstrap, the stationary bootstrap, and the threshold bootstrap are typical bootstrap methods to be used for autocorrelated time series data. They are nonparametric methods for stationary time series data, which correctly describe the original data. In the simulation output analysis, however, we may not use them because of the non-stationarity in the data set caused by the trend such as increasing or decreasing. In these cases, we can get rid of the trend by differencing the data, which guarantees the stationarity. We can get the bootstrapped data from the differenced stationary data. Taking a reverse transform to the bootstrapped data, finally, we get the pseudo-samples for the original data. In this paper, we introduce the applicability of bootstrap methods to the time series data having trend, and then verify it through the statistical analyses.

On Practical Efficiency of Locally Parametric Nonparametric Density Estimation Based on Local Likelihood Function

  • Kang, Kee-Hoon;Han, Jung-Hoon
    • Communications for Statistical Applications and Methods
    • /
    • v.10 no.2
    • /
    • pp.607-617
    • /
    • 2003
  • This paper offers a practical comparison of efficiency between local likelihood approach and conventional kernel approach in density estimation. The local likelihood estimation procedure maximizes a kernel smoothed log-likelihood function with respect to a polynomial approximation of the log likelihood function. We use two types of data driven bandwidths for each method and compare the mean integrated squares for several densities. Numerical results reveal that local log-linear approach with simple plug-in bandwidth shows better performance comparing to the standard kernel approach in heavy tailed distribution. For normal mixture density cases, standard kernel estimator with the bandwidth in Sheather and Jones(1991) dominates the others in moderately large sample size.

Kernel-based actor-critic approach with applications

  • Chu, Baek-Suk;Jung, Keun-Woo;Park, Joo-Young
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.11 no.4
    • /
    • pp.267-274
    • /
    • 2011
  • Recently, actor-critic methods have drawn significant interests in the area of reinforcement learning, and several algorithms have been studied along the line of the actor-critic strategy. In this paper, we consider a new type of actor-critic algorithms employing the kernel methods, which have recently shown to be very effective tools in the various fields of machine learning, and have performed investigations on combining the actor-critic strategy together with kernel methods. More specifically, this paper studies actor-critic algorithms utilizing the kernel-based least-squares estimation and policy gradient, and in its critic's part, the study uses a sliding-window-based kernel least-squares method, which leads to a fast and efficient value-function-estimation in a nonparametric setting. The applicability of the considered algorithms is illustrated via a robot locomotion problem and a tunnel ventilation control problem.

On Adaptation to Sparse Design in Bivariate Local Linear Regression

  • Hall, Peter;Seifert, Burkhardt;Turlach, Berwin A.
    • Journal of the Korean Statistical Society
    • /
    • v.30 no.2
    • /
    • pp.231-246
    • /
    • 2001
  • Local linear smoothing enjoys several excellent theoretical and numerical properties, an in a range of applications is the method most frequently chosen for fitting curves to noisy data. Nevertheless, it suffers numerical problems in places where the distribution of design points(often called predictors, or explanatory variables) is spares. In the case of univariate design, several remedies have been proposed for overcoming this problem, of which one involves adding additional ″pseudo″ design points in places where the orignal design points were too widely separated. This approach is particularly well suited to treating sparse bivariate design problem, and in fact attractive, elegant geometric analogues of unvariate imputation and interpolation rules are appropriate for that case. In the present paper we introduce and develop pseudo dta rules for bivariate design, and apply them to real data.

  • PDF

Constructing Simultaneous Confidence Intervals for the Difference of Proportions from Multivariate Binomial Distributions

  • Jeong, Hyeong-Chul;Kim, Dae-Hak
    • The Korean Journal of Applied Statistics
    • /
    • v.22 no.1
    • /
    • pp.129-140
    • /
    • 2009
  • In this paper, we consider simultaneous confidence intervals for the difference of proportions between two groups taken from multivariate binomial distributions in a nonparametric way. We briefly discuss the construction of simultaneous confidence intervals using the method of adjusting the p-values in multiple tests. The features of bootstrap simultaneous confidence intervals using non-pooled samples are presented. We also compute confidence intervals from the adjusted p-values of multiple tests in the Westfall (1985) style based on a pooled sample. The average coverage probabilities of the bootstrap simultaneous confidence intervals are compared with those of the Bonferroni simultaneous confidence intervals and the Sidak simultaneous confidence intervals. Finally, we give an example that shows how the proposed bootstrap simultaneous confidence intervals can be utilized through data analysis.

A Study on the Efficiency of Property-Liability Insurance Companies using DEA (DEA를 이용한 손해보험회사의 효율성 측정에 관한 연구)

  • 민재형;김진한
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.23 no.2
    • /
    • pp.201-217
    • /
    • 1998
  • This paper attempts to show how DEA(data envelopment analysis), a nonparametric productivity analysis method, can be employed for insurance companies to improve their respective efficiencies and competitiveness. Specifically, we measured relative technical efficiencies and returns to scale of 11 Korean property-liability insurance companies using BCC model, and raised several issues including the cause of inefficiency, benchmarking toward reference set and resource allocation concerning the insurance companies. Also, in order to monitor the variability of the research results over periods, we employed longitudinal analysis to see the moving patterns of technical efficiencies, returns to scale and frequencies included in the reference set of the individual insurance companies under consideration. The methodology and the results in this paper may also serve as a useful guideline for individual insurance companies to set their respective business strategies.

  • PDF

Bootstrap Simulation for Performance Evaluation of Optical Multifiber Connectors (붓스크랩 기법을 이용한 다심 광커넥터 손실특성 예측)

  • 전오곤;강기훈
    • Journal of Korean Society for Quality Management
    • /
    • v.26 no.4
    • /
    • pp.250-264
    • /
    • 1998
  • The purpose of the thesis is to develop simulation program for forecasting of optical connector. So we can achieve the time and the money saving for making the optical connector. Optical performance (insertion loss) of optical connector mainly relies on 3 misalignment factors-ferrule factor due to mis-manufacture from design, auto-centering effect that is fiber behavior phenomena between hole and fiber, fiber misalignment factor. Simulation use experimental data with auto-centering effect and fiber factor and use pseudo data with ferrule through random number generation because it is developing stage. In this study we a, pp.y kernel density estimation method with experimental data in order to know whether it belong to or not specific parametric distribution family. And we simulate to forecast insertion loss of optical multifiber connector under specific design model using nonparametric bootstrap resampling data and parametric pseudo samples from uniform distribution. We obtain the tolerance specifications of misalignment factors satisfying not exceed in maximum 1.0dB and choose optimal hole diameter.

  • PDF

Nonparametric test for unknown age class of life distributions

  • Abu-Youssef, S.E.;Mohammed, B.I.;Bakr, M.E.
    • International Journal of Reliability and Applications
    • /
    • v.15 no.2
    • /
    • pp.99-110
    • /
    • 2014
  • Based on the kernel function, a new test is presented, testing $H_0:\bar{F}$ is exponential against $H_1:\bar{F}$ is UBACT and not exponential is given in section 2. Monte Carlos null distribution critical points for sample sizes n = 5(5)100 is investigated in section 3. The Pitman asymptotic efficiency for common alternatives is obtained in section 4. In section 5 we propose a test statistic for censored data. Finally, a numerical examples in medical science for complete and censored data using real data is presented in section 6.

  • PDF

Semiparametric Seasonal Cointegrating Rank Selection

  • Seong, Byeong-Chan;Ahn, Sung-K.;Ch, Sin-Sup
    • The Korean Journal of Applied Statistics
    • /
    • v.24 no.5
    • /
    • pp.791-797
    • /
    • 2011
  • This paper considers the issue of seasonal cointegrating rank selection by information criteria as the extension of Cheng and Phillips (2009). The method does not require the specification of lag length in vector autoregression, is convenient in empirical work, and is in a semiparametric context because it allows for a general short memory error component in the model with only lags related to error correction terms. Some limit properties of usual information criteria are given for the rank selection and small Monte Carlo simulations are conducted to evaluate the performances of the criteria.

Multiple Comparisons for a Bivariate Exponential Populations Based On Dirichlet Process Priors

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
    • /
    • v.18 no.2
    • /
    • pp.553-560
    • /
    • 2007
  • In this paper, we consider two components system which lifetimes have Freund's bivariate exponential model with equal failure rates. We propose Bayesian multiple comparisons procedure for the failure rates of I Freund's bivariate exponential populations based on Dirichlet process priors(DPP). The family of DPP is applied in the form of baseline prior and likelihood combination to provide the comparisons. Computation of the posterior probabilities of all possible hypotheses are carried out through Markov Chain Monte Carlo(MCMC) method, namely, Gibbs sampling, due to the intractability of analytic evaluation. The whole process of multiple comparisons problem for the failure rates of bivariate exponential populations is illustrated through a numerical example.

  • PDF