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The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having…

Exactly Solvable and Integrable Systems · Physics 2014-09-25 Nikolai A. Kudryashov , Mikhail A. Chmykhov

Logistic equations play a pivotal role in the study of any non linear evolution process exhibiting growth and saturation. The interest for the phenomenology, they rule, goes well beyond physical processes and cover many aspects of ecology,…

Classical Analysis and ODEs · Mathematics 2023-08-14 G. Dattoli , R. Garra

In this paper, we propose a solution of fractional logistic equation by using properties of Mittag-Leffler function.

Classical Analysis and ODEs · Mathematics 2017-02-21 Jignesh P. Chauhan , Ranjan K. Jana , Pratik V. Shah , Ajay K. Shukla

We discuss explicit solutions of the logistic model with variable parameters. Classical data on the sunflower seeds growth are revisited as a simple application of the logistic model with periodic coefficients. Some applications to related…

Populations and Evolution · Quantitative Biology 2010-08-17 Raquel M. Lopez , Benjamin R. Morin , Sergei K. Suslov

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

Methodology · Statistics 2026-02-09 Anthony Almudevar , Jacob Almudevar

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

Logistic regression is an important statistical tool for assessing the probability of an outcome based upon some predictive variables. Standard methods can only deal with precisely known data, however many datasets have uncertainties which…

Methodology · Statistics 2022-06-09 Nicholas Gray , Scott Ferson

Demand functions for goods are generally cyclical in nature with characteristics such as trend or stochasticity. Most existing demand forecasting techniques in literature are designed to manage and forecast this type of demand functions.…

Applications · Statistics 2011-10-04 Murphy Choy , Michelle L. F. Cheong

In this paper, an alternative Discrete skew Logistic distribution is proposed, which is derived by using the general approach of discretizing a continuous distribution while retaining its survival function. The properties of the…

Methodology · Statistics 2016-04-07 Deepesh Bhati , Subrata Chakraborty , Snober Gowhar Lateef

Motivated by extending the functional stochastic calculus, to important functionals to which it does not apply, a notion of functional derivative along a curve is introduced. This new setting is developed by incorporating path-dependent…

Probability · Mathematics 2026-04-14 Christian Houdré , Jorge Víquez

Counting how many particles pass through a specific space within a specific time is an interesting question in applied physics and social science. Here a logistic model is developed to estimate the total number of flowing particles. This…

Physics and Society · Physics 2020-03-30 Byung Mook Weon

Logistic regression is a well-known statistical model which is commonly used in the situation where the output is a binary random variable. It has a wide range of applications including machine learning, public health, social sciences,…

Statistics Theory · Mathematics 2019-04-18 Bernard Bercu , Antoine Godichon-Baggioni , Bruno Portier

A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by…

Classical Analysis and ODEs · Mathematics 2026-03-24 Nicholas Hale , Enrique Thomann , JAC Weideman

Logistic regression is a fundamental and widely used statistical method for modeling binary outcomes based on covariates. However, the presence of missing data, particularly in settings involving hybrid covariates (a mix of discrete and…

Methodology · Statistics 2025-06-05 Mohamed Cherifi , Xujia Zhu , Mohammed Nabil El Korso , Ammar Mesloub

Many planning and decision activities in logistics and supply chain management are based on forecasts of multiple time dependent factors. Therefore, the quality of planning depends on the quality of the forecasts. We compare various…

Machine Learning · Statistics 2024-06-07 Lena Schmid , Moritz Roidl , Markus Pauly

While discriminative classifiers often yield strong predictive performance, missing feature values at prediction time can still be a challenge. Classifiers may not behave as expected under certain ways of substituting the missing values,…

Machine Learning · Computer Science 2019-06-04 Pasha Khosravi , Yitao Liang , YooJung Choi , Guy Van den Broeck

An approach is presented for making predictions about functional time series. The method is applied to data coming from periodically correlated processes and electricity demand, obtaining accurate point forecasts and narrow prediction bands…

Methodology · Statistics 2018-06-29 Antonio Elías , Raúl Jiménez

Functional time series have become an integral part of both functional data and time series analysis. Important contributions to methodology, theory and application for the prediction of future trajectories and the estimation of functional…

Methodology · Statistics 2017-01-04 Alexander Aue , Johannes Klepsch

Log-logistic distribution is a flexible distribution that can model a wide range of failure patterns in the field of electrical, electronic and mechanical engineering and is often used in reliability inference. However, the inference of the…

Methodology · Statistics 2026-05-08 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

In this work, we study the use of logistic regression in manufacturing failures detection. As a data set for the analysis, we used the data from Kaggle competition Bosch Production Line Performance. We considered the use of machine…

Machine Learning · Computer Science 2016-12-31 B. Pavlyshenko
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