eskonnteauchanderssein:@riebart @geekagora Sorry I haven’t caught up with either of you in a
eskonnteauchanderssein: @riebart @geekagora Sorry I haven’t caught up with either of you in a while- I miss ya. But for the moment, I’m panicking to finish a project and need help with some math notation and figured it wouldn’t be no thang for you guys. I’m confused (hence the “?” by the use of what I think of a “is a set of” being raised to the power of s. Can either of you guys help me understand what the question marked equation is saying- sorry for the utter lack of context. @eskonnteauchandersseinSo, thanks to the magic of full text search, here’s a link for some additional much needed context.Scrolling up to the section talking about sequencing errors, they talk a DNA sequencing model that has only a possibility of substitution errors (no insertions or deletions) with probability ε. That helps the paragraph in question make more sense.Given a reported alignment that requires $s$ substitutions, the probability of this alignment occurring is as given above, since each substitution occurs with probability ε. This is just the probability of $s$ independent events with probability ε occurring, and $l-s$ (where $l$ is the total length of the sequence) independent events with probability $1-ε$ occurring. This intuitively makes sense, as if substitutions are rare, then the more that are required for this alignment to make sense, the less likely it is to be accurate. -- source link