We consider the Cox’s proportional hazard model describing the phenomena in which the unexpected events (e.g. deaths) exist in the disjoint time intervals. For such a model variation Kalbfleische’a-Prentice’a estimators has been conformed which determine the baseline hazard function and the baseline survivals function. In practice it enables to determine the survival and hazard functions for the researched units varied with the vector of endo- and exogenous features. The discussed functions have been estimated on the medical examples which include the sick from Rzeszow’ region suffering from malignant tumours . The influence of demographical, social and economic features on the therapy results have been discussed.

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