Brazilian Journal of Probability and Statistics

Influence measures for the Waring regression model

Luisa Rivas and Manuel Galea

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Abstract

In this paper, we present a regression model where the response variable is a count data that follows a Waring distribution. The Waring regression model allows for analysis of phenomena where the Geometric regression model is inadequate, because the probability of success on each trial, $p$, is different for each individual and $p$ has an associated distribution. Estimation is performed by maximum likelihood, through the maximization of the $Q$-function using EM algorithm. Diagnostic measures are calculated for this model. To illustrate the results, an application to real data is presented. Some specific details are given in the Appendix of the paper.

Article information

Source
Braz. J. Probab. Stat., Volume 33, Number 2 (2019), 402-424.

Dates
Received: July 2017
Accepted: February 2018
First available in Project Euclid: 4 March 2019

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1551690041

Digital Object Identifier
doi:10.1214/18-BJPS395

Mathematical Reviews number (MathSciNet)
MR3919030

Zentralblatt MATH identifier
07057454

Keywords
EM algorithm beta-geometric distribution generalized Cook’s distance appropriate perturbation global and local influence

Citation

Rivas, Luisa; Galea, Manuel. Influence measures for the Waring regression model. Braz. J. Probab. Stat. 33 (2019), no. 2, 402--424. doi:10.1214/18-BJPS395. https://projecteuclid.org/euclid.bjps/1551690041


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