2004
DOI: 10.1016/s0304-4076(03)00156-8
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A consistent estimator for the binomial distribution in the presence of “incidental parameters”: an application to patent data

Abstract: In this paper a consistent estimator for the Binomial distribution in the presence of incidental parameters, or ÿxed e ects, when the underlying probability is a logistic function is derived. The consistent estimator is obtained from the maximization of a conditional likelihood function in light of Andersen's work. Monte Carlo simulations show its superiority relative to the traditional maximum likelihood estimator with ÿxed e ects also in small samples, particularly when the number of observations in each cro… Show more

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Cited by 10 publications
(26 citation statements)
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“…For example, Chamberlain (1985) provides results for some duration mod-els; Manski (1987) discusses the nonparametric binary choice model; Honoré (1992) provides a solution for censored regression; Kyriazidou (1997) for sample selection; Machado (2004) for binomial regression; Chamberlain (2010) for the binary choice logistic model; Magnac (2004) for a generalization of the conditional logit model; Shi et al (2016) for multinomial choice models; and Muris (2017) for logit ordered choice. For reviews of the literature, see Chamberlain (1984) (Section 3), Honoré (1992), Arellano and Honoré (2001) (Section 4), Arellano (2003), and Arellano and Bonhomme (2012) (Sections 2 and 4).…”
Section: The Incidental Parameter Problemmentioning
confidence: 99%
“…For example, Chamberlain (1985) provides results for some duration mod-els; Manski (1987) discusses the nonparametric binary choice model; Honoré (1992) provides a solution for censored regression; Kyriazidou (1997) for sample selection; Machado (2004) for binomial regression; Chamberlain (2010) for the binary choice logistic model; Magnac (2004) for a generalization of the conditional logit model; Shi et al (2016) for multinomial choice models; and Muris (2017) for logit ordered choice. For reviews of the literature, see Chamberlain (1984) (Section 3), Honoré (1992), Arellano and Honoré (2001) (Section 4), Arellano (2003), and Arellano and Bonhomme (2012) (Sections 2 and 4).…”
Section: The Incidental Parameter Problemmentioning
confidence: 99%
“…The literature shows several ways to access and enjoy the Big Data, usually in competitive intelligence literature, however, big data analysis processes are virtually countless, because depend on each database or combination of databases, the context and interest of analysis, continuity or perecividade data, of economic resources, technological and human disposition, described by Fleming et al (2001), Machado (2004) and Wu et al (2014) (Fleming & Sorenson, 2001;Machado, 2004; Xindong Wu, Xingquan Zhu Gong-Qing Wu, & Wei Ding, 2014). There are steps or common sub-processes in the data analysis process, described in the literature reviewed, which will be discussed briefly in the next section.…”
Section: Big Data Main Analysis Processmentioning
confidence: 99%
“…Finally, we note that conditional likelihood estimators have also been proposed for other nonlinear fixed‐effects models with underlying exponential likelihoods. Examples of such models include the Poisson model (Hausman et al., ), the binomial regression model with logistic link function (Machado, ), and certain duration models (Chamberlain, ).…”
Section: Introductionmentioning
confidence: 99%
“…1 Finally, we note that conditional likelihood estimators have also been proposed for other nonlinear fixed-effects models with underlying exponential likelihoods. Examples of such models include the Poisson model (Hausman et al, 1984), the binomial regression model with logistic link function (Machado, 2004), and certain duration models (Chamberlain, 1985). For the semiparametric fixed-effects model with interval-censored outcomes, we propose a composite maximum-scoretype estimator to consistently estimate the slope parameters.…”
Section: Introductionmentioning
confidence: 99%