Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Bayesian Optimum Design Criterion for Multi Models Discrimination
1
10
EN
F
Z. Labbaf
H
Talebi
h-talebi@sci.ui.ac.ir
10.18869/acadpub.jsri.9.1.1
The problem of obtaining the optimum design, which is able to discriminate between several rival models has been considered in this paper. We give an optimality-criterion, using a Bayesian approach. This is an extension of the Bayesian KL-optimality to more than two models. A modification is made to deal with nested models. The proposed Bayesian optimality criterion is a weighted average, where the weights are corresponding probabilities of models to let them be true. We consider these probabilities coming from a Poisson distribution.
Kulback-Leibler distance, discrimination, nested models, optimum design, optimality criterion.
http://jsri.srtc.ac.ir/article-1-66-en.html
http://jsri.srtc.ac.ir/article-1-66-en.pdf
Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Prediction of Times to Failure of Censored Units in Hybrid Censored Samples from Exponential Distribution
11
30
EN
A
Asgharzadeh
A.Asgharzadeh@umz.ac.ir
R
Valiollahi
10.18869/acadpub.jsri.9.1.11
In this paper, we discuss different predictors of times to failure of units censored in a hybrid censored sample from exponential distribution. Bayesian and non-Bayesian point predictors for the times to failure of units are obtained. Non-Bayesian prediction Intervals are obtained based on pivotal and highest conditional density methods. Bayesian prediction intervals are also proposed. One real data set has been analyzed to illustrate all the prediction methods. Finally, different prediction methods have been compared using Monte Carlo simulations.
Hybrid censoring, exponential distribution, maximum likelihood predictor, best unbiased predictor, conditional median predictor, Bayesian predictor, Monte Carlo simulation
http://jsri.srtc.ac.ir/article-1-65-en.html
http://jsri.srtc.ac.ir/article-1-65-en.pdf
Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Interval Estimation for the Exponential Distribution under Progressive Type-II Censored Step-Stress Accelerated Life-Testing Model Based on Fisher Information
31
41
EN
Maryam
Baghery
Fatemeh
Yousefzadeh
fyousefzadeh@birjand.ac.ir
10.18869/acadpub.jsri.9.1.31
This paper, determines the confidence interval using the Fisher information under progressive type-II censoring for the k-step exponential step-stress accelerated life testing. We study the performance of these confidence intervals. Finally an example is given to illustrate the proposed procedures.
Accelerated life test, bootstrap confidence intervals, step-stress, exponential distribution, progressive type-II censoring, Fisher information, coverage percentage.
http://jsri.srtc.ac.ir/article-1-67-en.html
http://jsri.srtc.ac.ir/article-1-67-en.pdf
Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Bayesian and Iterative Maximum Likelihood Estimation of the Coefficients in Logistic Regression Analysis with Linked Data
43
60
EN
M
Mohammadzadeh
mohsen_m@modares.ac.ir
A
Fallah
10.18869/acadpub.jsri.9.1.43
This paper considers logistic regression analysis with linked data. It is shown that, in logistic regression analysis with linked data, a finite mixture of Bernoulli distributions can be used for modeling the response variables. We proposed an iterative maximum likelihood estimator for the regression coefficients that takes the matching probabilities into account. Next, the Bayesian counterpart of the frequentist model is developed. Then, a simulation study is performed to check the applicability and performance of the proposed frequentist and Bayesian methodologies encountering mismatch.
Record linkage, logistic regression, mixture distributions, EM algorithm
http://jsri.srtc.ac.ir/article-1-68-en.html
http://jsri.srtc.ac.ir/article-1-68-en.pdf
Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Estimation in Simple Step-Stress Model for the Marshall-Olkin Generalized Exponential Distribution under Type-I Censoring
61
85
EN
F.
Bagheri L.
Hamzeh
Torabi
htorabi@yazd.ac.ir
10.18869/acadpub.jsri.9.1.61
This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lead to closed form expressions for the maximum likelihood estimators (MLEs), and they need to be solved by using an iterative procedure. We then evaluate the properties of MLEs through the mean squared error, relative absolute bias and relative error.
We also derive confidence intervals for the parameters using asymptotic distributions of the MLEs and the parametric bootstrap methods. Finally, an example is presented to illustrate the discussed methods of asymptotic and bootstrap confidence intervals.
Bootstrap method, cumulative exposure model, maximum likelihood estimation, Marshall-Olkin generalized exponential distribution, step-stress modelm, type-I censoring
http://jsri.srtc.ac.ir/article-1-69-en.html
http://jsri.srtc.ac.ir/article-1-69-en.pdf
Statistical Research and Training Center - Statistical Centre of Iran
Journal of Statistical Research of Iran JSRI
1735-1294
9
1
2012
9
1
Stratified Median Ranked Set Sampling: Optimum and Proportional Allocations
87
102
EN
Samineh
Hajighorbani
Roshanak
Aliakbari Saba
r_saba@srtc.ac.ir
10.18869/acadpub.jsri.9.1.87
In this paper, for the Stratified Median Ranked Set Sampling (SMRSS), proposed by Ibrahim et al. (2010), we examine the proportional and optimum sample allocations that are two well-known methods for sample allocation in stratified sampling. We show that the variances of the mean estimators of a symmetric population in SMRSS using optimum and proportional allocations to strata are smaller than the corresponding variances in Stratified Random Sampling (STRS). It is also shown that for a fixed value of sampling cost in strata, the variance of mean estimator with optimum allocation is less than or equal to the variance of mean estimator with proportional allocation in SMRSS. In addition, we develop the results obtained by Ibrahim et al. (2010) for proportional allocation in SMRSS for some symmetric and non-symmetric distributions when the parameters of distributions are varying.
Ranked Set Sampling, Stratified Median Ranked Set Sampling, optimum allocation, proportional allocation.
http://jsri.srtc.ac.ir/article-1-70-en.html
http://jsri.srtc.ac.ir/article-1-70-en.pdf