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Mathematics
Article . 2021 . Peer-reviewed
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Mathematics
Article
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Mathematics
Article . 2021
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Generalized Confidence Intervals for Zero-Inflated Pareto Distribution

Authors: Xiao Wang; Xinmin Li;

Generalized Confidence Intervals for Zero-Inflated Pareto Distribution

Abstract

This paper considers interval estimations for the mean of Pareto distribution with excess zeros. Three approaches for interval estimation are proposed based on fiducial generalized pivotal quantities (FGPQs), respectively. Simulation studies are performed to assess the performance of the proposed methods, along with three measurements to determine comparisons with competing approaches. The advantages and disadvantages of each method are provided. The methods are illustrated using a real phone call dataset.

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Keywords

fiducial generalized confidence interval, coverage probability, QA1-939, zero-inflated Pareto distribution; fiducial generalized pivotal quantity; fiducial generalized confidence interval; coverage probability, zero-inflated Pareto distribution, fiducial generalized pivotal quantity, Mathematics

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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
gold