| maxPartialSumd {localScore} | R Documentation |
Maximum of the partial sum [probability] [iid]
Description
Calculates the distribution of the maximum of the partial sum process for a given value in the identically and independantly distributed model
Usage
maxPartialSumd(k, score_probabilities, sequence_min, sequence_max)
Arguments
k |
value at which calculates the probability |
score_probabilities |
the probabilities for each unique score from lowest to greatest |
sequence_min |
minimum score |
sequence_max |
maximum score |
Details
Implement the formula (4) of the article Mercier, S., Cellier, D., & Charlot, D. (2003). An improved approximation for assessing the statistical significance of molecular sequence features. Journal of Applied Probability, 40(2), 427-441. doi:10.1239/jap/1053003554
Important note : the calculus of the parameter of the distribution uses
the resolution of a polynome which is a function of the score distribution, of order max(score)-min(score). There exists only empirical methods to solve a polynome of order greater that 5
with no warranty of reliable solution.
The found roots are checked internally to the function and an error message is throw in case of inconsistency.
Value
A double representing the probability of the maximum of the partial sum process equal to k
Examples
maxPartialSumd(10, c(0.08, 0.32, 0.08, 0.00, 0.08, 0.00, 0.00, 0.08, 0.02, 0.32, 0.02), -6, 4)