On Some Aspects of Unbiased Estimation of Parameters in Quasi-Binomial Distributions

Abstract

In this article, an attempt has been made to settle the question of existence of unbiased estimator of the key parameter p of the quasi-binomial distributions of Type I (QBD I) and of Type II (QBD II), with/without any knowledge of the other parameter φ appearing in the expressions for probability functions of the QBD's. This is studied with reference to a single observation, a random sample of finite size m as also with samples drawn by suitably defined sequential sampling rules.

Keywords:

• Quasi-binomial distributions
• Sequential sampling plan
• Unbiased estimator

Mathematics Subject Classification:

• Primary 60E05
• Secondary 62F10, 62H12

Acknowledgment

The authors are extremely thankful to the referees for constructive suggestions which led to clarity of the presentation in the revised version.