ABSTRACT

Certain contemporary authors understate the content of the law of large numbers and even misinterpret its methodological significance by reducing it to an experimental observation of some dependence. An important role must be played by the formulation of laws which arise as the result of imposing a large number of independent or weakly dependent random factors. The law of large numbers is one proposition in probability theory and, one of the most important. Observing a single phenomenon, one sees all its individual peculiarities, which veil the essence of the laws that hold when similar phenomena are observed a large number of times. By the law of large numbers, the pressure must be almost constant. This effect of "equalizing" due to the law of large numbers is observed in physical phenomena with exceptional exactness. Many works were devoted to determining the conditions which it is necessary to impose on dependent variables in order that they satisfy the law of large numbers.