Calculating statistical distributions from operator relations: The statistical distributions of various intermediate statistics

Statistical distributions of pyrosequencing

Pyrosequencing is emerging as one of the important next-generation sequencing technologies. We derive the statistical distributions of this technique in terms of nucleotide probabilities of the target sequences. We give exact distributions both for fixed number of flow cycles and for fixed sequence length. Explicit formulas are derived for the mean and variance of these distributions. In both c...

Statistical Distributions, Second Edition

advantage of the unique capabilities of the computer to teach. The self-test segment of the program is simply a memory game, which does not focus on clinically relevant anatomy or provide a framework on how to think radiologically. In summary, while The Imaging Atlas functions appropriately, it offers few advantages over a radiographic atlas in book form. A firm grasp of statistical distributio...

1 Statistical Distributions

The Weibull Topp-Leone Generated Family of Distributions: Statistical Properties and Applications

Statistical distributions are very useful in describing and predicting real world phenomena. Consequently, the choice of the most suitable statistical distribution for modeling given data is very important. In this paper, we propose a new class of lifetime distributions called the Weibull Topp-Leone Generated (WTLG) family. The proposed family is constructed via compounding the Weibull and the ...

Shannon entropy in generalized order statistics from Pareto-type distributions

In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Pareto-type and related distributions.