The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title:	Applications of binary sequence of order k
Author:	Jiang, Xulun
View Online:	njit-etd1994-093 (vi, 31 pages ~ 1.1 MB pdf)
Department:	Department of Mathematics
Degree:	Master of Science
Program:	Applied Mathematics
Document Type:	Thesis
Advisory Committee:	Dhar, Sunil Kumar (Committee chair) Bhattacharjee, Manish Chandra (Committee member) Elancheran, Ponniah (Committee member)
Date:	1994-05
Keywords:	Binary system (Mathematics). Sequences (Mathematics).
Availability:	Unrestricted
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.