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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 1, Fasc. 1,
pages 49 - 57
 

CENTRAL LIMIT THEOREM IN D[0, oo ) FOR BREAKDOWN PROCESSES

Władysław Szczotka

Abstract: Main results are given in Theorems 1-3. Theorem 1 asserts that a mixture of independent random elements of (D, d) satisfying the Central Limit Theorem in (D,d) also satisfies the Central Limit Theorem in (D, d). Theorem 2 determines an upper bound for P (X(t ) = X(t ) /= X(t)), 1 2 where t < t < t, t - t 1 2 2 1 is small and X is a breakdown process. Theorem 3 gives sufficient conditions under which a breakdown process satisfies the Central Limit Theorem in (D, d).

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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