Neelesh Shankar Upadhye

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Neelesh Shankar Upadhye
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Neelesh Shankar Upadhye
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Upadhye, N. S.
Upadhye, Neelesh S.
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    On discrete Gibbs measure approximation to runs
    (01-01-2022)
    Kumar, A. N.
    ;
    Neelesh Shankar Upadhye 
    A Stein operator for the runs is derived as a perturbation of an operator for discrete Gibbs measure. Due to this fact, using perturbation technique, the approximation results for runs arising from identical and non-identical Bernoulli trials are derived via Stein’s method. The bounds obtained are new and their importance is demonstrated through an interesting application.