<p>In this paper, we discuss the convergence of the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Φ</mi> </math></EquationSource> </InlineEquation>-distribution to limiting laws. Sufficient conditions for the convergence to the Poisson distribution and to the composition of two distributions are established.</p>

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ASYMPTOTICS OF THE PROBABILITY DISTRIBUTION ASSOCIATED WITH “SUCCESS-FAILURE” TRIALS IN VARIABLE CONDITIONS

  • N. A. Kolokolnikova

摘要

In this paper, we discuss the convergence of the \(\Phi \) Φ -distribution to limiting laws. Sufficient conditions for the convergence to the Poisson distribution and to the composition of two distributions are established.