• Title/Summary/Keyword: Bootstrap Simulation

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Classical and Bayesian studies for a new lifetime model in presence of type-II censoring

  • Goyal, Teena;Rai, Piyush K;Maury, Sandeep K
    • Communications for Statistical Applications and Methods
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    • v.26 no.4
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    • pp.385-410
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    • 2019
  • This paper proposes a new class of distribution using the concept of exponentiated of distribution function that provides a more flexible model to the baseline model. It also proposes a new lifetime distribution with different types of hazard rates such as decreasing, increasing and bathtub. After studying some basic statistical properties and parameter estimation procedure in case of complete sample observation, we have studied point and interval estimation procedures in presence of type-II censored samples under a classical as well as Bayesian paradigm. In the Bayesian paradigm, we considered a Gibbs sampler under Metropolis-Hasting for estimation under two different loss functions. After simulation studies, three different real datasets having various nature are considered for showing the suitability of the proposed model.

A Graphical Method of Checking the Adequacy of Linear Systematic Component in Generalized Linear Models (일반화선형모형에서 선형성의 타당성을 진단하는 그래프)

  • Kim, Ji-Hyun
    • Communications for Statistical Applications and Methods
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    • v.15 no.1
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    • pp.27-41
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    • 2008
  • A graphical method of checking the adequacy of a generalized linear model is proposed. The graph helps to assess the assumption that the link function of mean can be expressed as a linear combination of explanatory variables in the generalized linear model. For the graph the boosting technique is applied to estimate nonparametrically the relationship between the link function of the mean and the explanatory variables, though any other nonparametric regression methods can be applied. Through simulation studies with normal and binary data, the effectiveness of the graph is demonstrated. And we list some limitations and technical details of the graph.

Simple power analysis in causal mediation models for a dichotomous outcome based on the mediation proportion

  • Kim, Young Min;Cologne, John Bennett;Cullings, Harry Michael
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.3
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    • pp.669-684
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    • 2017
  • Mediation models are widely used in many fields of research and have recently gained attention in epidemiology. The mediation proportion is a standard measure to evaluate what part of the total exposure effect on an outcome may be explained by a particular mediator and to examine how important that pathway is relative to the overall exposure effect. A common question is how large a sample size is needed to achieve high statistical power or, equivalently, what magnitude of effect can be detected. Current power and sample size calculations for mediation analysis are limited and additional research is needed. We therefore propose a computer-intensive power analysis using the mediation proportion. We conduct simulation studies to calculate statistical powers and sample sizes. And then, we illustrate our power analysis using an example from the Adult Health Study of atomic-bomb survivors and demonstrate that the method is relatively straightforward to understand and compute.

High-dimensional change point detection using MOSUM-based sparse projection (MOSUM 성근 프로젝션을 이용한 고차원 시계열의 변화점 추정)

  • Kim, Moonjung;Baek, Changryong
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.63-75
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    • 2022
  • This paper proposes the so-called MOSUM-based sparse projection method for change points detection in high-dimensional time series. Our method is inspired by Wang and Samworth (2018), however, our method improves their method in two ways. One is to find change points all at once, so it minimizes sequential error. The other is localized so that more robust to the mean changes offsetting each other. We also propose data-driven threshold selection using block wild bootstrap. A comprehensive simulation study shows that our method performs reasonably well in finite samples. We also illustrate our method to stock prices consisting of S&P 500 index, and found four change points in recent 6 years.

A Mediation Analysis of Absorption Capacity by Bootstrapping Technique in Multiple Mediator Model (다중매개모델에서 bootstrapping기법을 이용한 흡수능력의 매개효과 분석)

  • Kim, Hyun-Woo;Lee, Hong-Bae;Shin, Yong-Ho
    • Journal of the Korea Society for Simulation
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    • v.24 no.4
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    • pp.89-96
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    • 2015
  • The mediation methods suggested by Baron and Kenny, Sobel, Aroian and Goodman, have widely used to test the mediating effect. However, as there are many problems in statistical test power, as well as statistical accuracy, a bootstrapping technique has been suggested as an alternative. In this paper, we adopt the phantom variables based on the bootstrapping technique to test the mediating effect in multiple mediator model consisting of three or more mediating variables. In particular, we formulate the multiple mediator model for analyzing the relations among organizational resources, the absorption capacity as mediating variables and technology commercialization capabilities. And using the bootstrapping approach, we analyzed the mediating effect of the absorption capacity by setting of phantom variables and calculated total indirect effect size and the statistical significance. The empirical results are as follows. First, we confirmed that the bootstrapping approach and the phantom variable is the very efficient and systematic mediation method. Second, we recognized that there is a difference in the mediating characteristics of the absorption capacity depending on the resource characteristics of human resources and material resources obviously.

A Composite Estimator for Cut-off Sampling using Cost Function (절사표본 설계에서 비용함수를 고려한 복합추정량)

  • Sim, Hyo-Seon;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.27 no.1
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    • pp.43-59
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    • 2014
  • Cut-off sampling has been widely used for a highly skewed population like a business survey by discarding a part of the population, so called a take-nothing stratum. For a more accurate estimate of the population total, Hwang and Shin (2013) suggested a composite estimator of a take-nothing stratum total that combined the survey results of a take-nothing stratum and a take-some sub-stratum (a part of take-some stratum). In this paper we propose a new cut-off sampling scheme by considering a cost function and a composite estimator based on the proposed sampling scheme. Small simulation studies compared the performances of known composite estimators and the new composite estimator suggested in this study. We also use Briquette Consumption Survey data for real data analysis.