• Title/Summary/Keyword: sequential procedures

Search Result 113, Processing Time 0.025 seconds

A note on the sample size determination of sequential and multistage procedures

  • Choi, Kiheon
    • Journal of the Korean Data and Information Science Society
    • /
    • v.23 no.6
    • /
    • pp.1279-1287
    • /
    • 2012
  • We particularly emphasized how to determine the number of replications with sequential and multistage procedures. So, the t-test is used to achieve some predetermined level of accuracy efficiently with loss function in the case of normal, chi-squared, an exponential distributions. We provided that the relevance of procedures are sequential procedure, two-stage procedure, modified two-stage procedure, three-stage procedure and accelerated sequential procedure. Monte Carlo simulation is carried out to obtain the stopping sample size that minimizes the risk.

A class of accelerated sequential procedures with applications to estimation problems for some distributions useful in reliability theory

  • Joshi, Neeraj;Bapat, Sudeep R.;Shukla, Ashish Kumar
    • Communications for Statistical Applications and Methods
    • /
    • v.28 no.5
    • /
    • pp.563-582
    • /
    • 2021
  • This paper deals with developing a general class of accelerated sequential procedures and obtaining the associated second-order approximations for the expected sample size and 'regret' (difference between the risks of the proposed accelerated sequential procedure and the optimum fixed sample size procedure) function. We establish that the estimation problems based on various lifetime distributions can be tackled with the help of the proposed class of accelerated sequential procedures. Extensive simulation analysis is presented in support of the accuracy of our proposed methodology using the Pareto distribution and a real data set on carbon fibers is also analyzed to demonstrate the practical utility. We also provide the brief details of some other inferential problems which can be seen as the applications of the proposed class of accelerated sequential procedures.

An Overview of Group Sequential Procedures (집단축차검정법들에 관한 고찰)

  • Jae Won Lee
    • The Korean Journal of Applied Statistics
    • /
    • v.7 no.2
    • /
    • pp.35-51
    • /
    • 1994
  • For ethical and economic reasons, clinicla trials must be repeatedly monitored for evidence of treatment benefit or harm. Repeated testing at conventional critical values can substantially inflate the overal type I error rate. To maintain acceptable levels, group sequential procedures have been developed for clinical trials. This article gives a brief overview of the group sequential procedures.

  • PDF

Efficiency and Minimaxity of Bayes Sequential Procedures in Simple versus Simple Hypothesis Testing for General Nonregular Models

  • Hyun Sook Oh;Anirban DasGupta
    • Journal of the Korean Statistical Society
    • /
    • v.25 no.1
    • /
    • pp.95-110
    • /
    • 1996
  • We consider the question of efficiency of the Bayes sequential procedure with respect to the optimal fixed sample size Bayes procedure in a simple vs. simple testing problem for data coming from a general nonregular density b(.theta.)h(x)l(x < .theta.). Efficiency is defined in two different ways in these caiculations. Also, the minimax sequential risk (and minimax sequential stratage) is studied as a function of the cost of sampling.

  • PDF

Fixed-accuracy confidence interval estimation of P(X > c) for a two-parameter gamma population

  • Zhuang, Yan;Hu, Jun;Zou, Yixuan
    • Communications for Statistical Applications and Methods
    • /
    • v.27 no.6
    • /
    • pp.625-639
    • /
    • 2020
  • The gamma distribution is a flexible right-skewed distribution widely used in many areas, and it is of great interest to estimate the probability of a random variable exceeding a specified value in survival and reliability analysis. Therefore, the study develops a fixed-accuracy confidence interval for P(X > c) when X follows a gamma distribution, Γ(α, β), and c is a preassigned positive constant through: 1) a purely sequential procedure with known shape parameter α and unknown rate parameter β; and 2) a nonparametric purely sequential procedure with both shape and rate parameters unknown. Both procedures enjoy appealing asymptotic first-order efficiency and asymptotic consistency properties. Extensive simulations validate the theoretical findings. Three real-life data examples from health studies and steel manufacturing study are discussed to illustrate the practical applicability of both procedures.

Stochastically Dependent Sequential Acceptance Sampling Plans

  • Kim, Won-Kyung
    • Journal of Korean Society for Quality Management
    • /
    • v.25 no.3
    • /
    • pp.22-38
    • /
    • 1997
  • In a traditional sequential acceptance sampling plan, it is assumed that the sampled items are independent each other. In this paper, stochastically dependent sequential acceptance sampling plans are dealt when there exists dependency between sampled items. Monte-Calro algorithm is used to find the acceptance and rejection probabilities of a lot. The number of defectives for the test to be accepted and rejected in probability ratio sequential test can be found by using these probabilities. The formula for measures of performance of these sampling plans is developed. Type I and II error probabilities are estimated by simulation. This research can be a, pp.ied to sequential sampling procedures in place of control charts where there is a recognized and necessary dependency during the production processes. Also, dependent multiple acceptance sampling plans can be derived by extending this sequential sampling procedure. As a numerical example, a Markov dependent process model is given, and the characteristics of the sampling plans are examined according to the change of the dependency factor.

  • PDF

Nonparametric Procedures for Finding Minimum Effective Dose in a One-Way Layout

  • Kim, Hyeonjeong;Kim, Dongjae
    • Communications for Statistical Applications and Methods
    • /
    • v.9 no.3
    • /
    • pp.693-701
    • /
    • 2002
  • When the lowest dose level compared with zero-dose control has significant difference in effect, it is referred as minimum effective dose (MED). In this paper, we discuss several nonparametric methods for finding MED using updated rank at each sequential test step in small sample size and suggest new nonparametric procedures based on placement. Monte Carlo Simulation is adapted to compare power and Familywise Error Rate(FWE) of the new procedures with those of discussed nonparametric tests for finding MED.

A Study on the Process of Sequential Collaborative Projection Mapping - Focused on case of 'Media Conglomerate' - (순차협업형 프로젝션 맵핑 제작 과정에 관한 연구 - 'Media Conglomerate'의 사례를 중심으로 -)

  • Lee, Eun Ju;Lim, Yang Kyu;Park, Jin Wan
    • Korea Science and Art Forum
    • /
    • v.26
    • /
    • pp.289-299
    • /
    • 2016
  • The range of art has been gradually expanded with the passage of time. Science and technology have also contributed to the arts in the name of media art, and artists and technicians have become collaborative. In this paper, we investigate the meaning of collaboration in art and analyze the case focusing on Projection Mapping which is a field of Media Art. In particular, this study propose the concept and production process of Sequential Collaborative Projection Mapping works, and see the work of making and exhibition as one experiment. Based on this, sequential collaborative procedures are defined in the case of work production, and the underlying technologies and procedures for collaboration are presented. The presented techniques and procedures can be applied to projection mapping exhibitions and festivals as a platform. In this process, we have reviewed the collaborative relationship between artists and technicians, and the issues with regard to giving and receiving the credit of works.

Construction of Frankel Functional Regulator II ($Fr{\ddot{a}}nkel$의 Functional Regulator II 제작)

  • Lee, Gyu-Sun
    • Journal of Technologic Dentistry
    • /
    • v.22 no.1
    • /
    • pp.21-38
    • /
    • 2000
  • $Fr{\ddot{a}}nkel$ functional regulator have a complicated design and are of a big bulk. This makes not only the construction of appliance but also the adaption of a patient to the appliance very difficult. Therefore, orthodontic laboratory technicians should be well acquainted with the sequential fabrication procedures involved in the construction of Frankel functional regulators and construct a type most suitable for a specific patient of malocclusion. There are various types of Frankel appliances. Detailed construction procedures of FR II are described here below, which can also be applied for other types for FR appliances.

  • PDF

A Study on the Conformity of KS Standards according to Agreement on WTO/TBT (WTO/TBT 협정에 따른 KS 규격의 부합화에 관한 연구)

  • 김진규
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.26 no.4
    • /
    • pp.12-22
    • /
    • 2003
  • The purposes of this study are to investigate the conformity of Korean Standards(KS) according to agreement on WTO/TBT, and to propose systematic frameworks of preparation, adoption, and application for KS in our enterprises. Significant changes in this establishment, revision, and abrogation include the following divisions; i) statistics-vocabulary and symbols, ii) Shewhart control chart, iii) statistical interpretation of data, iv) sampling procedures for inspection by attributes, v) sequential sampling plans for inspection.