2013
DOI: 10.1002/sim.5820
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Beta prime regression with application to risky behavior frequency screening

Abstract: Our aim is to model the frequency of certain behavioral acts, especially those that are likely to transmit communicable diseases between persons. We develop a generalized linear model based on the beta prime distribution to model the responses to a survey question of the form, “When was the last time that you engaged in this behavior?” Intuitively, individuals reporting more recent events are more likely to have greater frequency of the risky behavior. The beta prime distribution is especially suited to this a… Show more

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Cited by 15 publications
(10 citation statements)
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References 18 publications
(23 reference statements)
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“…Чтобы учесть индивидуальные особенности, была предложена гамма-пуассоновская модель поведения [37,49,53]. В рамках этой модели предполагается, что эпизоды поведения каждого индивида контролируются процессом Пуассона, но интенсивность поведения в популяции варьируется между индивидами.…”
Section: косвенные оценки интенсивности поведенияunclassified
See 1 more Smart Citation
“…Чтобы учесть индивидуальные особенности, была предложена гамма-пуассоновская модель поведения [37,49,53]. В рамках этой модели предполагается, что эпизоды поведения каждого индивида контролируются процессом Пуассона, но интенсивность поведения в популяции варьируется между индивидами.…”
Section: косвенные оценки интенсивности поведенияunclassified
“…Предположим, что исследуется некоторый тип поведения, причем интенсивность поведения λ обусловлена индивидуальными особенностями каждого респондента и потому варьируется от пользователя к пользователю [37]. Априорное распределение интенсивности может быть известно в результате пилотных исследований.…”
Section: копула зависимости длин интервалов между последовательными эunclassified
“…18 Regression approaches for the GB2 distribution were proposed by Tulupyev et al. 19 and Yee. 20 For modeling the ratio of two correlated gamma distributed outcomes, Berger et al.…”
Section: Introductionmentioning
confidence: 99%
“…If independence between U and V can be assumed, the ratio U/V follows a generalized beta distribution of the second kind ("GB2 distribution", Kleiber and Kotz 2003). For the latter distribution, Tulupyev et al (2013) proposed a GLM-type regression model, which, however, was originally not intended to analyze ratio outcomes but to adjust a time-to-event model for a specific sampling pattern. As a consequence, the model by Tulupyev et al (2013) makes strong assumptions about the parameter space, restricting one of the two shape parameters to the value 2.…”
mentioning
confidence: 99%
“…For the latter distribution, Tulupyev et al (2013) proposed a GLM-type regression model, which, however, was originally not intended to analyze ratio outcomes but to adjust a time-to-event model for a specific sampling pattern. As a consequence, the model by Tulupyev et al (2013) makes strong assumptions about the parameter space, restricting one of the two shape parameters to the value 2. A more general model for the GB2 distribution was proposed by Yee (2015) as part of the VGAM framework.…”
mentioning
confidence: 99%