Date of Award

Spring 1994

Document Type

Thesis

Degree Name

Master of Science in Applied Mathematics - (M.S.)

Department

Mathematical Sciences

First Advisor

Dhar, Sunil Kumar

Second Advisor

Bhattacharjee, Manish Chandra

Third Advisor

Elancheran, Ponniah

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.

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