*Article* **Parametric Jensen-Shannon Statistical Complexity and Its Applications on Full-Scale Compartment Fire Data**

#### **Flavia-Corina Mitroi-Symeonidis 1,2, Ion Anghel 2 and Nicus, or Minculete 3,\***


Received: 12 November 2019; Accepted: 19 December 2019; Published: 20 December 2019

**Abstract:** The order/disorder characteristics of a compartment fire are researched based on experimental data. From our analysis performed by new, pioneering methods, we claim that the parametric Jensen-Shannon complexity can be successfully used to detect unusual data, and that one can use it also as a means to perform relevant analysis of fire experiments. Thoroughly comparing the performance of di fferent algorithms (known as permutation entropy and two-length permutation entropy) to extract the probability distribution is an essential step. We discuss some of the theoretical assumptions behind each step and stress that the role of the parameter is to fine-tune the results of the Jensen-Shannon statistical complexity. Note that the Jensen-Shannon statistical complexity is symmetric, while its parametric version displays a symmetric duality due to the a priori probabilities used.

**Keywords:** full-scale fire experiment; compartment fire; permutation entropy; two length permutation entropy; time series analysis; parametric Jensen-Shannon statistical complexity; symmetric duality
