A unifying framework for some directed distances in statistics

M Broniatowski, W Stummer - Handbook of Statistics, 2022 - Elsevier
Density-based directed distances—particularly known as divergences—between probability
distributions are widely used in statistics as well as in the adjacent research fields of …

Relationships between tail entropies and local intrinsic dimensionality and their use for estimation and feature representation

J Bailey, ME Houle, X Ma - Information Systems, 2023 - Elsevier
The local intrinsic dimensionality (LID) model assesses the complexity of data within the
vicinity of a query point, through the growth rate of the probability measure within an …

[HTML][HTML] Sensitivity of Survival Analysis Metrics

I Vasilev, M Petrovskiy, I Mashechkin - Mathematics, 2023 - mdpi.com
Survival analysis models allow for predicting the probability of an event over time. The
specificity of the survival analysis data includes the distribution of events over time and the …

Kullback-Leibler divergence for the Fr\'echet extreme-value distribution

JC Pain - arXiv preprint arXiv:2303.13153, 2023 - arxiv.org
arXiv:2303.13153v2 [math.ST] 27 Mar 2023 Kullback-Leibler divergence for the Fréchet
extreme-value distribution Page 1 arXiv:2303.13153v2 [math.ST] 27 Mar 2023 Kullback-Leibler …

Keyfitz entropy: investigating some mathematical properties and its application for estimating survival function in life table

R Rezaei, G Yari - Mathematical Sciences, 2021 - Springer
Keyfitz entropy index is a new indicator that measures the sensitivity of life expectancy to a
change in mortality rate. Understanding the characteristics of this indicator can significantly …

A Comparative study of various methods of estimation for Gompertz-Lindley distribution

F Almathkour, A Alothman, ME Ghitany… - International Journal of …, 2022 - diogenes.bg
This paper deals with a comparative study of different methods of estimation for Gompertz-
Lindley distribution. Simulation studies are carried out and the most efficient estimator is the …

[PDF][PDF] Diagnosis of failure modes from bearing data via deep learning variational autoencoder method

T Lucas, L Araújo, D Aichele, MC Moura… - Proc. Probabilistic Saf …, 2022 - iapsam.org
Bearings are indispensable equipment in complex machinery. Many studies developed
analyses to improve the effectiveness of predictive maintenance for these components …

A comparative study of traditional and Kullback-Leibler divergence of survival functions estimators for the parameter of Lindley distribution

S Parveen, SK Singh, U Singh, D Kumar - Austrian Journal of Statistics, 2019 - ajs.or.at
A new point estimation method based on Kullback-Leibler divergence of survival functions
(KLS), measuring the distance between an empirical and prescribed survival functions, has …

[PDF][PDF] Dynamic reliability evaluation for a multi-state component under stress-strength model

S Calık - 2017 - researchgate.net
For many technical systems, stress-strength models are of special importance. Stress-
strength models can be described as an assessment of the reliability of the component in …

Parameter Estimation Based on Cumulative Kullback–Leibler Divergence

Y Mehrali, M Asadi - REVSTAT-Statistical Journal, 2021 - revstat.ine.pt
In this paper, we propose some estimators for the parameters of a statistical model based on
Kullback–Leibler divergence of the survival function in continuous setting and apply it to type …