Two-stage and sequential estimation of parameter N of binomial distribution when p is known. Issue 4 (1st October 2016)

• Record Type: Journal Article
• Authors: De, Shyamal K.; Zacks, Shelemyahu
• Is Part Of: Sequential analysis. Volume 35:Issue 4(2016)
• Page Start: 440
• Page End: 452
• Publication Date: 2016-10-01
• Subjects: Bounded width -- exact computations -- proportional closeness interval -- sequential sampling -- stopping variable -- two-stage sampling; 60G51 -- 60K15 -- 60K40; Sequential analysis -- Periodicals; 519.54
• DOI: 10.1080/07474946.2016.1238255
• Languages: English
• ISSNs: 0747-4946

Abstract

ABSTRACT: In this article, we propose two-stage and purely sequential procedures to construct bounded width and prescribed proportional closeness confidence intervals for the unknown parameter N of B ( N, p ) distribution where the parameter p is assumed to be known. The exact distributions of the stopping variables and the estimators of N at stopping are derived for all cases. The coverage probabilities of the proposed interval estimator are computed exactly and are shown to be nearly the same as the prescribed level.