• Title/Summary/Keyword: prior distribution

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The Effect of Private Brands' Service Quality on Brand Attitude

  • SONG, Byoung-Weon;KIM, Jin-Hwan;KIM, Min-Kyeong
    • Journal of Distribution Science
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    • v.18 no.7
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    • pp.19-25
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    • 2020
  • Purpose: This study analyzes service quality of Pivate Brand (PB) productsto provide some academic and practical implications. Research design, data, and methodology: The focus is on how service quality of No Brand, which has recently received much attention, affects brand attitude and, to confirm whether consumers' prior knowledge of PB moderates this effect. A total of 167 men and women in their 20s who have experience using No Brand were surveyed. Hypothesis was verified by using hierarchical regression analysis. Results: a) Tangibles, reliability, empathy, and assurance of service quality for No Brand have a positive effect on brand attitude; b) The moderating effect of prior knowledge is only statistically significant in the context of reliability. Conclusion: This study provides academic and practical implications for establishing differentiated PB strategies. It highlights the effects of service quality and consumer prior knowledge on brand attitude. This suggests that the sub-dimension of PB service quality has a discriminatory effect on the brand attitude of No Brand, and that consumer's prior knowledge of the product influences reliability of service quality. Therefore, consumer's prior knowledge is important in order to increase trust.

Numerical Bayesian updating of prior distributions for concrete strength properties considering conformity control

  • Caspeele, Robby;Taerwe, Luc
    • Advances in concrete construction
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    • v.1 no.1
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    • pp.85-102
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    • 2013
  • Prior concrete strength distributions can be updated by using direct information from test results as well as by taking into account indirect information due to conformity control. Due to the filtering effect of conformity control, the distribution of the material property in the accepted inspected lots will have lower fraction defectives in comparison to the distribution of the entire production (before or without inspection). A methodology is presented to quantify this influence in a Bayesian framework based on prior knowledge with respect to the hyperparameters of concrete strength distributions. An algorithm is presented in order to update prior distributions through numerical integration, taking into account the operating characteristic of the applied conformity criteria, calculated based on Monte Carlo simulations. Different examples are given to derive suitable hyperparameters for incoming strength distributions of concrete offered for conformity assessment, using updated available prior information, maximum-likelihood estimators or a bootstrap procedure. Furthermore, the updating procedure based on direct as well as indirect information obtained by conformity assessment is illustrated and used to quantify the filtering effect of conformity criteria on concrete strength distributions in case of a specific set of conformity criteria.

Realistic Estimation Method of Compressive Strength in Concrete Structure (콘크리트 구조물의 합리적인 압축강도 추정기법 연구)

  • Oh, Byung-Hwan;Yang, In-Hwan
    • Magazine of the Korea Concrete Institute
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    • v.11 no.2
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    • pp.241-249
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    • 1999
  • To estimate the compressive strength of concrete more realistically, relative large number of data are necessary. However, it is very common in practice that only limited data are available. The purpose of the present paper is therefore to propose a realistic method to estimate the compressive strength of concrete with limited data in actual site. The Bayesian method of statistical analysis has been applied to the problem of the estimation of compressive strength of concrete. The mean compressive strength is considered as the random parameter and a prior distribution is selected to enable updating of the Bayesian distribution of compressive strength of concrete reflecting both existing data and sampling observations. The updating of the Bayesian distribution with increasing data is illustrated in numerical application. It is shown that by combining prior estimation with information from site observation, more precise estimation is possible with relatively small sampling. It is also seen that the contribution of the prior in determining the posterior distribution depends on its sharpness or flatness in relation to the sharpness or flatness of the likelihood function. The present paper allows more realistic determination of concrete strength in site with limited data.

Bayes Estimators in Group Testing

  • Kwon, Se-Hyug
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.619-629
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    • 2004
  • Binomial group testing or composite sampling is often used to estimate the proportion, p, of positive(infects, defectives) in a population when that proportion is known to be small; the potential benefits of group testing over one-at-a-time testing are well documented. The literature has focused on maximum likelihood estimation. We provide two Bayes estimators and compare them with the MLE. The first of our Bayes estimators uses an uninformative Uniform (0, 1) prior on p; the properties of this estimator are poor. Our second Bayes estimator uses a much more informative prior that recognizes and takes into account key aspects of the group testing context. This estimator compares very favorably with the MSE, having substantially lower mean squared errors in all of the wide range of cases we considered. The priors uses a Beta distribution, Beta ($\alpha$, $\beta$), and some advice is provided for choosing the parameter a and $\beta$ for that distribution.

Hazard Rate Estimation from Bayesian Approach (베이지안 확률 모형을 이용한 위험률 함수의 추론)

  • Kim, Hyun-Mook;Ahn, Seon-Eung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.3
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    • pp.26-35
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    • 2005
  • This paper is intended to compare the hazard rate estimations from Bayesian approach and maximum likelihood estimate(MLE) method. Hazard rate frequently involves unknown parameters and it is common that those parameters are estimated from observed data by using MLE method. Such estimated parameters are appropriate as long as there are sufficient data. Due to various reasons, however, we frequently cannot obtain sufficient data so that the result of MLE method may be unreliable. In order to resolve such a problem we need to rely on the judgement about the unknown parameters. We do this by adopting the Bayesian approach. The first one is to use a predictive distribution and the second one is a method called Bayesian estimate. In addition, in the Bayesian approach, the prior distribution has a critical effect on the result of analysis, so we introduce the method using computerized-simulation to elicit an effective prior distribution. For the simplicity, we use exponential and gamma distributions as a likelihood distribution and its natural conjugate prior distribution, respectively. Finally, numerical examples are given to illustrate the potential benefits of the Bayesian approach.

Noninformative priors for product of exponential means

  • Kang, Sang Gil;Kim, Dal Ho;Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.3
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    • pp.763-772
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    • 2015
  • In this paper, we develop the noninformative priors for the product of different powers of k means in the exponential distribution. We developed the first and second order matching priors. It turns out that the second order matching prior matches the alternative coverage probabilities, and is the highest posterior density matching prior. Also we revealed that the derived reference prior is the second order matching prior, and Jeffreys' prior and reference prior are the same. We showed that the proposed reference prior matches very well the target coverage probabilities in a frequentist sense through simulation study, and an example based on real data is given.

Bayesian hypothesis testing for homogeneity of coecients of variation in k Normal populationsy

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.163-172
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    • 2010
  • In this paper, we deal with the problem for testing homogeneity of coecients of variation in several normal distributions. We propose Bayesian hypothesis testing procedures based on the Bayes factor under noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be dened up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

Bayesian Inference for Stress-Strength Systems

  • Chang, In-Hong;Kim, Byung-Hwee
    • 한국데이터정보과학회:학술대회논문집
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    • 2005.10a
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    • pp.27-34
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    • 2005
  • We consider the problem of estimating the system reliability noninformative priors when both stress and strength follow generalized gamma distributions. We first derive Jeffreys' prior, group ordering reference priors, and matching priors. We investigate the propriety of posterior distributions and provide marginal posterior distributions under those noninformative priors. We also examine whether the reference priors satisfy the probability matching criterion.

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On Bayes' uniform prior (베이즈의 균일분포에 관한 소고)

  • 허명회
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.263-268
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    • 1994
  • Thomas Bayes assumed uniform prior for the location $\theta$ of a billiard ball W in his historic 1764 paper. In this study, following mathematical derivation of the uniform distribution from several assumptions that are plausible on te billiard table, it is argued that the probabilistic meaning of Bayes' uniform prior (especially in Billiard Problem) is not just sujective but logical.

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Bayesian Hypothesis Testing for the Difference of Quantiles in Exponential Models

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1379-1390
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    • 2008
  • This article deals with the problem of testing the difference of quantiles in exponential distributions. We propose Bayesian hypothesis testing procedures for the difference of two quantiles under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the matching prior. Simulation study and a real data example are provided.

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