Document Type
Thesis
Date of Award
Spring 5-31-1994
Degree Name
Master of Science in Applied Mathematics - (M.S.)
Department
Mathematical Sciences
First Advisor
Sunil Kumar Dhar
Second Advisor
Manish Chandra Bhattacharjee
Third Advisor
Ponniah Elancheran
Abstract
The cumulative distribution of the finite sum of the binary sequence of order k is studied and some of its applications discussed. Certain properties of this sequence are studied and uniformly superior bounds for the cumulative distribution under minimal information on the "success" probabilities are derived.
As an application, an optimal randomized response model to collect sensitive information with dependence in the sample is proposed. This dependence is caused by untruthful response to stigmatizing questions and has been ignored in the past procedures.
The proposed method is useful in collecting reliable information in situations where the response is difficult to get, e.g., gathering data regarding the incidence of AIDS.
Recommended Citation
Jiang, Xulun, "Applications of binary sequence of order k" (1994). Theses. 1628.
https://digitalcommons.njit.edu/theses/1628
