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Optimal and Fast Confidence Intervals for Hypergeometric Successes

We present an efficient method of calculating exact confidence intervals for the hypergeometric parameter representing the number of “successes,” or “special items,” in the population. The method inverts minimum-width acceptance intervals after shifting them to make their endpoints nondecreasing while preserving their level. The resulting set of confidence intervals achieves minimum possible average size, and even in comparison with confidence sets not required to be intervals it attains the minimum possible cardinality most of the time, and always within 1. The method compares favorably with existing methods not only in the size of the intervals but also in the time required to compute them. The available R package hyperMCI implements the proposed method.

Ketersediaan

Informasi Detail

Judul Seri

THE AMERICAN STATISTICIAN; Vol.77 No.2 May 2023

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 151-159

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

QUALITY CONTROL
ESTIMATION
SAMPLING
INFERENCE
EXACT METHODS
BINARY DATA ANALYSIS

Info Detail Spesifik

https://doi.org/10.1080/00031305.2022.2128421

Pernyataan Tanggungjawab

Jay Bartroff, Gary Lorden, Lijia Wang

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