Exponential family
What is important to note, and what characterizes all exponential family variants, is that the parameter(s) and the observation variable(s) must factorize (can be separated into products each of which involves only one type of variable), either directly or within either part (the base or exponent) of an exponentiation operation. Generally, this means that all of the factors constituting the density or mass function must be of one of the following forms:
LIANTI
Shown in the figure is a simulation to illustrate the advantages of linear amplification over exponential amplification, assuming two DNA fragments A and B with replication yields of 100% and 70% per round, respectively. First, linear amplification is more even than exponential amplification. To achieve ~10,000 fold amplification of fragment A, exponential amplification results in a ratio of 8:1, hampering the accuracy of CNV detection. In contrast, linear amplification exhibits a ratio of 1:0.7, which is much closer to unity. Second, linear amplification is superior to exponential amplification in fidelity. In exponential amplification, errors generated in early cycles of amplification will be propagated permanently, leading to SNV false-positives. In contrast, in linear amplification, the errors would appear randomly at different locations in the amplicons to be easily filtered out.