A Flexible Family of Mixed Distributions for Discrete Linear and Continuous Circular Random Variables

SenGupta, Ashis; Shimizu, Kunio; Ong, S. H.; Das, Radhakanta

doi:10.1007/978-3-030-83670-2_17

Cited by 2 publications

(2 citation statements)

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“…Yet, the use of other local models could be considered in the estimation procedure. Circular models such as the ones employed in Kim and SenGupta (2017) or SenGupta et al (2021) can be explored as alternatives to local fits, instead of the sine polynomials in ( 13) and ( 14).…”

Section: Discussionmentioning

confidence: 99%

“…Second, the addition of too many terms in (2) may lead to overfitting. Other parametric models for a circular covariate and Poisson response have been proposed in the literature, such as the work by SenGupta et al (2021), where a joint density model for a circular variable and a real-valued discrete variable is proposed, which can be applied for regression purposes. However, regression curves described by such a model are also quite restrictive.…”

Section: Models For the Directional Tuning Of Spike Count Datamentioning

confidence: 99%

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Flexible Joint Modeling of Mean and Dispersion for the Directional Tuning of Neuronal Spike Counts

2023

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The study of how the number of spikes in a middle temporal visual area (MT/V5) neuron is tuned to the direction of a visual stimulus has attracted considerable attention over the years, but recent studies suggest that the variability of the number of spikes might also be influenced by the directional stimulus. This entails that Poisson regression models are not adequate for this type of data, as the observations usually present over/underdispersion (or both) with respect to the Poisson distribution. This paper makes use of the double exponential family and presents a flexible model to estimate, jointly, the mean and dispersion functions, accounting for the effect of a circular covariate. The empirical performance of the proposal is explored via simulations and an application to a neurological data set is shown.

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Section: Discussionmentioning

confidence: 99%

Section: Models For the Directional Tuning Of Spike Count Datamentioning

confidence: 99%