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A Study on Estimating the Parameter of the Truncated Geometric Distribution

We consider the truncated geometric distribution and analyze the condition under which a nontrivial maximum likelihood (ML) estimator of the parameter p exists. Additionally, the uniqueness criterion of such an ML estimator is also investigated. Our results indicate that in order to ensure the existence of a nontrivial ML estimator, the sample mean should be smaller than the midpoint of the two boundary positions. Without such a condition, the ML estimator will only exist trivially at p = 0. Finally, we demonstrate that the same condition is also required for the existence of the method of moments estimator. Our results lead to a rigorous understanding of the two estimators and aid in the interpretation of experimental designs that incorporate the truncated geometric distribution.

Ketersediaan

Informasi Detail

Judul Seri

THE AMERICAN STATISTICIAN; Vol.76 No.3 August 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 257-261

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

MAXIMUM LIKELIHOOD ESTIMATION
EXISTENCE OF ESTIMATOR
METHOD OF MOMENTS ESTIMATOR
TRUNCATED GEOMETRIC DISTRIBUTION

Info Detail Spesifik

https://doi.org/10.1080/00031305.2022.2034666

Pernyataan Tanggungjawab

Chanseok Park, Kun Gou, Min Wang

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