Empirical cumulative distribution function of the characteristic sign of the gas environment during fire

The object of this study is the dynam-ics of a characteristic sign of an incre-ment in the state of the gaseous medium in the premises when a thermal source of fire appears. The subject of the study is the type of an empirical cumulative function of the distribution of dynam-ics of a characteristic sign of an incre-ment in the state of the gaseous medi-um in the absence and appearance of a thermal source of fire in the premises. As a characteristic feature, the probabili-ty of non-recurrence of the increments of the vector of states of the gaseous medium was chosen. The results of the study make it possible to quickly iden-tify thermal sources of fire under uncer-tain conditions. The methodology for studying the empirical cumulative func-tion of the distribution of the dynamics of the probability of non-recurrence of the increments of the vector of the state of the gas medium has been substanti-ated. The technique includes the imple-mentation of seven consecutive proce-dures and makes it possible to explore the specified function for arbitrary time intervals. The empirical cumulative dis-tribution function for two fixed time intervals of equal duration before and after the appearance of test thermal sources of fire in the laboratory cham-ber was investigated. It was established that the features of the empirical cumu-lative functions of the distribution of the dynamics of the probability of non-re-currence of the increments of the vec-tor of the state of the gas environment allow for early detection of fire. The main sign of detection is a decrease in the fixed values of the empirical cumula-tive distribution function. For test ther-mal sources, fixed values of the empiri-cal cumulative distribution function are in the range of 0.15–0.44. These proba-bilities are determined by the different ignition rate of the test thermal sources. The research results indicate the possi-bility of using the identified features of empirical cumulative distribution func-tions of the dynamics of the probability of non-recurrence of increments of the vector of the state of the gas environ-ment for the early detection of fires