It is interesting to calculate the variance of the variance estimator of the Bernoulli distribution. Therefore, we compare the Bootstrap and Delta Method variances of the variance estimator of the Bernoulli distribution in this paper. Firstly, we provide the correct Bootstrap, De...
Open access
Research Article10.9734/ajpas/2018/v1i424547
There are 19 densities involved in the hierarchical Bayes model with two conditional levels, in which the 3 densities, that is, the likelihood function, the rst level prior density, and the second level prior density, are known densities. We have written the 16 unknown densities...
Open access
Research Article10.9734/ARJOM/2017/35481
Considering the factor analysis methods (classical or robust), the data input (data or scaled data), and the running matrix (covariance or correlation) all together, there are 8 combinations. The objective of the study is to give a recommendation for classical and robust factor a...
Open access
Research Article10.9734/BJMCS/2017/31936
We propose the Z distribution to tackle the Behrens-Fisher problem. First, we define the Z distribution which is a generalization of the t distribution, and then nd the pdf and cdf of the Z distribution. After that, we apply the Z distribution in the hypothesis testing of two nor...
Open access
Research Article10.9734/BJMCS/2017/31815
It is well known that the coverage probability of a given nominal level confidence interval and the credible probability of a given nominal level credible interval will attain the nominal level. Moreover, it is commonly believed that the two switching concepts probabilities, that...
Open access
Research Article10.9734/BJMCS/2017/31816
We calculate the posterior distributions, the marginal distributions and the normal Bayes estimators of three hierarchical normal models in the same manner. The three models are displayed in increasing complexity. We find that the posterior distributions and the marginal distribu...
Open access
Research Article10.9734/BJMCS/2017/31814