The weakly informative Cauchy distribution likewise encompasses a high probability region defined by prior information, but assigns more weight to values outside of this region, and so may be used when our prior information is less definite [ 27].
From this information, the prior on the age of the node uniting all taxa within the Cephalophinae was set as a lognormal distribution with an upper bound set as an offset value of 5.3 Ma, a log mean of 0.32 Ma from this offset value and log standard deviation of 1 Ma such that 95% of the prior probability encompassed the timeframe suggested by fossil evidence.
The standard deviation function is then employed to define the probability intervals encompassing specific percentages of the observed values.
As tumours increase in size, larger volumes of normal tissue have to be irradiated to encompass them, and the probability of radiation complications increases as a function of the volume irradiated.
However, as conversion tracts are not necessarily centered on the location of the respective DSB, we included flanking sequences of 500 bp to increase the probability to encompass the complete region targeted by DSB repair.
In order to incorporate this uncertainty into TMRCA estimates, we defined a normal prior distribution on the mutation rate with mean 1.13%/MY and with 95% of the probability distribution encompassed between the two aforementioned limits (0.87 and 1.39%, respectively).
Included in this information are the precise amino acids encompassing the region of similarity, the probability score, and most importantly the 'result number'.
This discussion illustrates how the "rationality of action" may require a re-definition, one encompassing both the formal principles of probability theory and human intuitions about good decisions [ 5, 68].
The possession of facts encompasses the knowledge gained by understanding the probability of predicted and observed properties of the chemical structure in relation to its desired properties.
Reichenbach's contributions cover large swathes of formal philosophy, especially in philosophy of physics, logic, induction and the foundations of probability, and his later work encompassed linguistics, philosophical logic, and ethics.
