Introduction

The study of statistical distributions is not recent, and since the beginning of the 19th century, approximately up until the beginning of the 20th century, linear models that follow a normal distribution practically dominated the data-modeling scenario.

Nonetheless, since the period between both wars, models to represent the situations normal linear models could not satisfactorily represent started arising. McCullagh and Nelder (1989), Turkman and Silva (2000), and Cordeiro and Demetrio (2007) mention, in this context, Berkson’s (1944), Dyke and Patterson’s (1952) and Rasch’s (1960) work on the logistic models that involve the Bernoulli and binomial distributions; Birch’s (1963) work on the models for count data involving the ...

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