Statistical distributions of pyrosequencing

Statistical distributions of sequencing by synthesis with probabilistic nucleotide incorporation

Sequencing by synthesis is used in many next-generation DNA sequencing technologies. Some of the technologies, especially those exploring the principle of single-molecule sequencing, allow incomplete nucleotide incorporation in each cycle. We derive statistical distributions for sequencing by synthesis by taking into account the possibility that nucleotide incorporation may not be complete in e...

Distributions of positive signals in pyrosequencing

Pyrosequencing is one of the important next-generation sequencing technologies. We derive the distribution of the number of positive signals in pyrograms of this sequencing technology as a function of flow cycle numbers and nucleotide probabilities of the target sequences. As for the distribution of sequence length, we also derive the distribution of positive signals for the fixed flow cycle mo...

Nature Methods Rapidly denoising pyrosequencing amplicon reads by exploiting rank-abundance distributions

Adding New Mathematical Functions and Statistical‎ Distributions in WinBUGS

‎WinBUGS is one of the usual softwares in computational Bayesian statistics‎, ‎which is used to fit Baysian models easily‎. ‎Although this software has usual mathematical functions and statistical distributions as built in functions‎, ‎sometimes it is necessary to include other functions and distributions in computations which is done by some tricks and indirectly‎. ‎By using WinBUGS developmen...

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 ...