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Man-Man Li

Publications (4)

Comparison of the Bootstrap and Delta Method Variances of the Variance Estimator of the Bernoulli Distribution

Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li · Asian Journal of Probability and Statistics · 2018

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 Article 10.9734/ajpas/2018/v1i424547

The 19 Densities of the Hierarchical Bayes Model with Two Conditional Levels

Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li · Asian Research Journal of Mathematics · 2017

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 Article 10.9734/ARJOM/2017/35481

A Recommendation for Classical and Robust Factor Analysis

Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li · Journal of Advances in Mathematics and Computer Science · 2017

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 Article 10.9734/BJMCS/2017/31936

The Behrens-Fisher Problem: A Z Distribution Approach

Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li · Journal of Advances in Mathematics and Computer Science · 2017

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 Article 10.9734/BJMCS/2017/31815