A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables | ||
The Egyptian Statistical Journal | ||
Article 9, Volume 35, Issue 2, December 1991, Pages 285-297 PDF (3.64 M) | ||
Document Type: Original Article | ||
DOI: 10.21608/esju.1991.315020 | ||
Authors | ||
Gharib M* 1; Abdel Fattah M.2 | ||
1Dep.of Mathematics, Faculty of Science, Ain Shams University | ||
2Dep.of Mathematics, Faculty of Education, Ain Shams University | ||
Abstract | ||
A limit theorem is proved, in the Lp space, for the sum of n-Markov Bernoulli random variables. This result is a generalization of Gharib and Yehia [3], the integral limit theorem of a sequence of chain dependent trials [4], and the Berry-Essen theorem of a sequence of independent and identically distributed random variables [5]. | ||
Keywords | ||
Berry-Essen Theorem; Chain Dependent Trials; Limit Theorem; Markov Bernoulli Random Variables | ||
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