A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables
M, G., M., A. (1991). A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables. EKB Journal Management System, 35(2), 285-297. doi: 10.21608/esju.1991.315020
Gharib M; Abdel Fattah M.. "A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables". EKB Journal Management System, 35, 2, 1991, 285-297. doi: 10.21608/esju.1991.315020
M, G., M., A. (1991). 'A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables', EKB Journal Management System, 35(2), pp. 285-297. doi: 10.21608/esju.1991.315020
M, G., M., A. A Global Limit Theorem for the Sum of N-Markov Bernoulli Random Variables. EKB Journal Management System, 1991; 35(2): 285-297. doi: 10.21608/esju.1991.315020

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, Page 285-297  XML PDF (3.64 MB)
Document Type: Original Article
DOI: 10.21608/esju.1991.315020
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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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