Overlap coefficients based on Kullback-Leibler divergence: Exponential populations case

Dhaker, Hamza; Ngom, Papa Ibrahima; Mbodj, Malick

doi:10.14419/ijamr.v6i4.8493

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…Clustering solution fit. To test whether our models were discovering clearly defined clusters, we implemented two class separation metrics following Dhaker et al (2017). First, we computed Bayes' error, which is a symmetric measure of distributional overlap that considers the relative sizes of clusters and ranges from 0 to 1, with .5 indicating perfect overlap.…”

Section: Analysis Hyperparameters Clustersmentioning

confidence: 99%

Investigating the relationship between emotional granularity and cardiorespiratory physiological activity in daily life

et al. 2021

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Emotional granularity describes the ability to create emotional experiences that are precise and context-specific. Despite growing evidence of a link between emotional granularity and mental health, the physiological correlates of granularity have been under-investigated. This study explored the relationship between granularity and cardiorespiratory physiological activity in everyday life, with particular reference to the role of respiratory sinus arrhythmia (RSA), an estimate of vagal influence on the heart often associated with positive mental and physical health outcomes. Participants completed a physiologically triggered experience sampling protocol including ambulatory recording of electrocardiogram (ECG), impedance cardiogram (ICG), movement, and posture. At each prompt, participants generated emotion labels to describe their current experience. In an end-of-day survey, participants elaborated on each prompt by rating the intensity of their experience on a standard set of emotion adjectives. Consistent with our hypotheses, individuals with higher granularity exhibited a larger number of distinct patterns of physiological activity during seated rest, and more situationally precise patterns of activity during emotional events: granularity was positively correlated with the number of clusters of cardiorespiratory physiological activity discovered in seated rest data, as well as with the performance of classifiers trained on event-related changes in physiological activity. Granularity was also positively associated with RSA during seated rest periods, although this relationship did not reach significance in this sample. These findings are consistent with constructionist accounts of emotion that propose concepts as a key mechanism underlying individual differences in emotional experience, physiological regulation, and physical health.

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Section: Analysis Hyperparameters Clustersmentioning

confidence: 99%

Investigating the relationship between emotional granularity and cardiorespiratory physiological activity in daily life

et al. 2021

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“…Samawi and Al-Saleh [28] studied three OVL coefficients for two exponential distributions and estimated them using ranked set sampling. Hamza et al [29] proposed a new OVL coefficient based on the Kullback-Leibler measure for two exponential distributions. Sibil et al [30] investigated both interval estimation and hypothesis testing for the OVL coefficients for one-and two-parameter exponential distributions using the concept of a generalized pivotal quantity.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Pianka Overlapping Coefficient for Two Exponential Distributions

Alhihi,

Almheidat

2023

Mathematics

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Overlapping coefficients (OVL) are commonly used to estimate the similarity between populations in terms of their density functions. In this paper, we consider Pianka’s overlap coefficient for two exponential populations. The methods for statistical inference of Pianka’s coefficient are presented. The bias and mean square error (MSE) of the maximum likelihood estimator (MLE) and the Bayes estimator of Pianka’s overlap coefficient are investigated by simulation. Confidence intervals for Pianka’s overlap measure are constructed.

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“…The overlap coefficient have been used for two exponential populations with different means (Al-Saleh andSamawi 2007 andDhaker et al 2017), and Mulekar and Andrade (Mulekar and Andrade, 2017) established a necessary condition to obtain valid values of Weitzman's Measure for normal densities and extend the result to lognormal, exponential, Weibull, and Pareto densities. Sibil and Seemon (Sibil and Seemon, 2019) constructed of the confidence interval of the overlap coefficient under one way random models.…”

Section: Introductionmentioning

confidence: 99%

Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case

Dhaker¹,

Ngom²,

Ibrahimouf³

et al. 2019

JMR

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Overlap coefficient (OVL) represents the proportion of overlap between two probability distributions, as a measure of the similarity between them. In this paper, we define a new overlap coefficient Λ based on Kullback-Leibler divergence and compare its performance to three known overlap coefficients, namely Matusia's Measure, Morisita's Measure, Weitzman's Measure. We study their properties, relations between them, and give approximate expressions for the biases and the variances.

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Overlap coefficients based on Kullback-Leibler divergence: Exponential populations case

Cited by 7 publications

References 13 publications

Investigating the relationship between emotional granularity and cardiorespiratory physiological activity in daily life

Investigating the relationship between emotional granularity and cardiorespiratory physiological activity in daily life

Estimation of Pianka Overlapping Coefficient for Two Exponential Distributions

Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case

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