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Probability Tail for Extended Negatively Dependent Random Variables of Partial Sums and Application to AR(1) Model Generated By END Errors

I. Chebbab


The exponential probability inequalities have been important tools in probability and statistics. In this paper, we establish exponential inequalities for END random variables of partial sums which enable us to build a confidence interval for the parameter of the first-order
autoregressive process. In addition, Using these inequalities, We prove that the estimator complete converge to the unknown parameter .


Autoregressive process, exponential inequalities, confidence interval, convergence, estimation, random variables, END sequence

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