A Non-uniform Bound on Negative Binomial Approximation via Stein’s Method and z-functions

Author:

Jaioun K.,Panichkitkosolkul W.,Teerapabolarn K.ORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Brown, T.C., Phillips, M.J.: Negative binomial approximation with Stein’s method. Methodol. Comput. Appl. Probab. 1, 407–421 (1999)

2. Jaioun, K., Teerapabolarn, K.: A uniform bound on negative binomial approximation with $$w$$ w -functions. Appl. Math. Sci. 9, 2831–2841 (2015)

3. Kumar, A.N., Upadhye, N.S.: On perturbations of Stein operator. Commun. Stat. Theory Methods 46, 9284–9302 (2017)

4. Malingam, P., Teerapabolarn, K.: A pointwise negative binomial approximation by $$w$$ w -functions. Int. J. Pure Appl. Math. 69, 453–467 (2011)

5. Stein, C.: A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proc. Sixth Berkeley Symp. Math. Stat. Probab. 2, 583–602 (1972)

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