Likelihoodism is thus criticized for either not providing a basis for belief or action (if it fails to make inferences), or not satisfying the requirements of these other schools.
Here are some notable connections: While likelihood-based statistics have been widely used and have many advantages, they are not without criticism.
While comparing ratios of probabilities dates to early statistics and probability, notably Bayesian inference as developed by Pierre-Simon Laplace from the late 1700s, likelihood as a distinct concept is due to Ronald Fisher in Fisher (1921).
Likelihood played an important role in Fisher's statistics, but he developed and used many non-likelihood frequentist techniques as well.
To begin with there is a flourishing school of likelihood inference, to which I belong.Textbooks that take a likelihoodist approach include the following: Kalbfleisch (1985), Azzalini (1996), Pawitan (2001), Rohde (2014), and Held & Sabanés Bové (2014).