The study discusses modeling diachronic processes by logistic regression. Such an approach was suggested by Raimund Piotrowski (hence labelled as Piotrowski's law), even if actual linguistic evidence usually speaks against using the notion of a "law" in this context. In our study, we apply logistic regression models to 9 changes which occurred between 15th and 18th century in the Polish language. The attested course of the majority of these changes closely follow the expected values, which proves that the language change might indeed resemble a nonlinear phase change scenario. We also extend the original Piotrowski's approach by proposing polynomial logistic regression for these cases which can hardly be described by its standard version. Also, we propose to consider individual language change cases jointly, in order to inspect their possible collinearity or, more likely, their different dynamics in the function of time. Last but not least, we evaluate our results by testing the influence of the subcorpus size on the model's goodness-of-fit.

翻译：这项研究讨论了通过后勤回归来模拟地老过程的模型。 Raimund Piotrolowski(此处称为Piotroski的法律)建议了这种方法,即使实际语言证据通常反对在此情况下使用“法律”的概念。在我们的研究中,我们对15世纪至18世纪之间以波兰语出现的9个变化采用了后勤回归模型。这些变化的多数经过证实的过程都密切遵循了预期的价值观,这证明语言变化可能确实类似于非线性阶段的变化情景。我们还扩大了原Piotrorowski的做法,为这些很难用标准版本描述的个案建议多语种物流回归。我们还建议共同考虑个别语言变化案例,以便检查它们可能的相近性,或者更有可能在时间功能上的不同动态。最后但并非最不重要的一点是,我们通过测试子体大小对模型的优美性的影响来评估我们的结果。