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Since this is a review paper, instead of the Introduction section, I think it will be better if you can have the Overview section, where you provide a critical overview of the existing literature on tolerance interval, and also identify patterns, trends, and gaps in the research. You can also talk about the R packages which are designed for visualization of tolerance intervals.
You can also talk about the tolerance interval for continuous distribution and combine it with the discrete ones. This section can be named as Tolerance Interval for Continuous and Discrete Distributions.
The one-sided and two-sided tolerance intervals can be summarized into the Overview if possible, as this is trivial and does not need too much discussion. But you can of course have both one-sided and two-sided tolerance intervals derived for the distributions you want to talk about.
The nonparametric tolerance interval can be an individual section for sure. And you can summarize the difference between parametric and nonparametric tolerance intervals, as well as the pros and cons.
Also, it seems that the last few items can be summarized into a section, i.e. Tolerance Interval for Special Distributions (binomial, poisson, negative binomial and hypergeometric). Then you can make your listed topics as subsections in this section. Please explore the literatures and find some real datasets for each of them. There should be R packages available for you to get the tolerance intervals and also visualize them.
Then you can have a Summary section to wrap everything up.
You are to use Latex to write it
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