Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Social Loafing01:37

Social Loafing

34.8K
Another way in which a group presence can affect performance is social loafing—the exertion of less effort by a person working together with a group. Social loafing occurs when our individual performance cannot be evaluated separately from the group. Thus, group performance declines on easy tasks (Karau & Williams, 1993). Essentially individual group members loaf and let other group members pick up the slack. Because each individual’s efforts cannot be evaluated,...
34.8K
Variation01:19

Variation

6.8K
An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
6.8K
Regression Toward the Mean01:52

Regression Toward the Mean

6.3K
Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
6.3K
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

2.5K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.5K
Saint-Venant's Principle01:18

Saint-Venant's Principle

702
The principle of Saint-Venant postulates that the stress distribution within a structural member does not rely on the precise method of load application except in the vicinity of the load application points. Consider a scenario where loads are centrally applied on two plates. In this case, the plates move toward each other without any rotation. This movement causes the member to contract in length and expand in width and thickness. Uniform deformation across all elements and maintaining...
702
Noncompartmental Analysis: Statistical Moment Theory00:56

Noncompartmental Analysis: Statistical Moment Theory

138
Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time...
138

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Lattice physics approaches for neural networks.

iScience·2024
Same author

Neural Activity in Quarks Language: Lattice Field Theory for a Network of Real Neurons.

Entropy (Basel, Switzerland)·2024
Same author

Fear of hypoglycemia in children with type 1 diabetes and their parents: Validation of the Italian version of the Hypoglycemia Fear Survey for Children and for Parents.

Pediatric diabetes·2021
Same author

Energy of the interacting self-avoiding walk at the θ point.

Physical review. E·2020
Same author

Role of the KCNJ Gene Variants in the Clinical Outcome of Type 1 Diabetes.

Hormone and metabolic research = Hormon- und Stoffwechselforschung = Hormones et metabolisme·2020
Same author

Erratum: Effects of Sustained Inflation or Positive Pressure Ventilation on the Release of Adrenomedullin in Preterm Infants with Respiratory Failure at Birth.

American journal of perinatology·2020

Related Experiment Video

Updated: Jul 23, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.4K

Large-deviation theory of increasing returns.

Simone Franchini1, Riccardo Balzan1

  • 1Sapienza Universitá di Roma, Piazza A. Moro 1, 00185 Roma, Italy.

Physical Review. E
|July 19, 2023
PubMed
Summary

This study analyzes a generalized market model with increasing returns, revealing sublinear entropy costs in expected lock-in phases. We identify the most likely market share trajectories and a nonlinear differential equation for market dynamics.

Area of Science:

  • Economics
  • Mathematical Economics
  • Statistical Physics

Background:

  • The increasing returns theory explains market lock-in with competing products.
  • Arthur's model shows one product becomes a monopoly with a majority mechanism.
  • Existing models lack analysis of probabilistic customer choices.

Purpose of the Study:

  • To analyze a generalized model of market competition with probabilistic customer choices.
  • To investigate market share dynamics and identify likely trajectories.
  • To explore the behavior of the system in regions of expected lock-in.

Main Methods:

  • Large-deviation analysis at the sample-path level.
  • Derivation of a formula for most likely market share trajectories.

More Related Videos

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition
14:01

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition

Published on: May 22, 2015

42.8K
Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
07:26

Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER

Published on: May 19, 2019

12.1K

Related Experiment Videos

Last Updated: Jul 23, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.4K
Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition
14:01

Making Record-efficiency SnS Solar Cells by Thermal Evaporation and Atomic Layer Deposition

Published on: May 22, 2015

42.8K
Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
07:26

Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER

Published on: May 19, 2019

12.1K
  • Analysis of a nonlinear differential equation for the cumulant-generating function.

    • Main Results:

    • Identified a region of sublinear entropy cost where lock-in is expected.
    • Derived a formula to determine the most probable market share evolution.
    • Established a nonlinear differential equation governing market share dynamics.

    Conclusions:

    • The generalized model exhibits complex dynamics beyond simple lock-in.
    • Probabilistic customer behavior can lead to unexpected convergence patterns.
    • The study provides tools for analyzing market share fluctuations and stability.