On Independent Copies of Negative Binomial Distribution

N. Vadiraja; S. Nagesh

doi:https://doi.org/10.14445/22315373/IJMTT-V37P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 4 | Year 2016 | Article Id. IJMTT-V37P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P531

On Independent Copies of Negative Binomial Distribution

N. Vadiraja, S. Nagesh

Abstract

This paper finds a limiting region for the number of subjects required and hence number of failed in screening test in multi-centric clinical trials. This situation follows a properly normalized independent vector sequences comprising of moving maxima (Ym k(n)) for m (>1) multi centric set up in clinical trials, where 1≤k(n)≤n. Results are given for bi-centric and multi-centric situations , under certain conditions on k(n) for p=∞ case.

Keywords

Almost sure limit set; Clinical trial; Moving maxima; Independent copies; Vector sequence.

References

[1] Rothmann, M.D. and R.P. Russo (1991). Strong limiting bounds for a sequence of moving maxima. Statist. Probab. Lett. 11, 403-410.
[2] Hebbar,H.V. and N. Vadiraja (1997). Limit points of sequences of moving maxima, Statist.Probab. Lett. 34,13-18.
[3] Vadiraja,N. and S. Nagesh (2016). Strong limiting bounds for number of screening subjects in a multi centric clinical trial, International Journal of Current Advanced Research. Vol 5, Issue 6, pp 998-999.

Citation :

N. Vadiraja, S. Nagesh, "On Independent Copies of Negative Binomial Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 4, pp. 229-233, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P531