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 Experiment Video

Updated: Jul 24, 2025

A Tactile Automated Passive-Finger Stimulator TAPS
19:44

A Tactile Automated Passive-Finger Stimulator TAPS

Published on: June 3, 2009

13.8K

Weighted Cumulative Past Extropy and Its Inference.

Mohammad Reza Kazemi1, Majid Hashempour2, Maria Longobardi3

  • 1Department of Statistics, Faculty of Science, Fasa University, Fasa IS74, Iran.

Entropy (Basel, Switzerland)
|July 8, 2023
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

Evolutionary Psychology01:20

Evolutionary Psychology

314
Evolutionary psychology explores the origins of human behavior and mental processes by framing them within the context of natural selection, a theory famously propounded by Charles Darwin. This field asserts that many behaviors common across human societies — ranging from instinctive fear reactions to complex social interactions — arose as evolutionary adaptations. These adaptations enhanced the survival and reproductive success of our ancestors, thereby becoming embedded in the...
314
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.6K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.6K
Cumulative Frequency Distribution01:04

Cumulative Frequency Distribution

6.9K
A cumulative frequency distribution is another type of frequency distribution. Instead of reporting how many data values fall in some classes, it reports how many data values are contained in either that class or any class to its left. Technically, it means the sum of frequencies of the class and all the classes below it in a frequency distribution. A cumulative frequency is calculated by adding the frequency of each class lower than the corresponding class interval or category. In general, a...
6.9K
Causality in Epidemiology01:21

Causality in Epidemiology

490
Causality or causation is a fundamental concept in epidemiology, vital for understanding the relationships between various factors and health outcomes. Despite its importance, there's no single, universally accepted definition of causality within the discipline. Drawing from a systematic review, causality in epidemiology encompasses several definitions, including production, necessary and sufficient, sufficient-component, counterfactual, and probabilistic models. Each has its strengths and...
490
Convergent Evolution01:54

Convergent Evolution

28.0K
Evolution shapes the features of organisms over time, ensuring that they are suited for the environments in which they live. Sometimes, selection pressure leads to the rise of similar but unrelated adaptations in organisms with no recent common ancestors, a process known as convergent evolution.
28.0K
Parametric Survival Analysis: Weibull and Exponential Methods01:14

Parametric Survival Analysis: Weibull and Exponential Methods

488
Parametric survival analysis models survival data by assuming a specific probability distribution for the time until an event occurs. The Weibull and exponential distributions are two of the most commonly used methods in this context, due to their versatility and relatively straightforward application.
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
488

You might also read

Related Articles

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

Sort by
Same author

Estimation of Weighted Extropy with Focus on Its Use in Reliability Modeling.

Entropy (Basel, Switzerland)·2024
Same author

Jensen-Inaccuracy Information Measure.

Entropy (Basel, Switzerland)·2023
Same author

Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under <i>ρ</i>-Mixing Dependent Data.

Entropy (Basel, Switzerland)·2022
Same author

Fractional Deng Entropy and Extropy and Some Applications.

Entropy (Basel, Switzerland)·2021
Same author

Results on Varextropy Measure of Random Variables.

Entropy (Basel, Switzerland)·2021
Same author

A Dual Measure of Uncertainty: The Deng Extropy.

Entropy (Basel, Switzerland)·2020
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

This study introduces weighted cumulative past extropy (WCPJ) for continuous random variables. It proposes a new statistical test based on WCPJ, showing satisfactory performance in reliability theory applications.

Area of Science:

  • Probability and Statistics
  • Reliability Theory
  • Information Theory

Background:

  • Cumulative past extropy is a measure of uncertainty.
  • Generalizations of extropy are important for statistical analysis.
  • Order statistics play a key role in non-parametric inference.

Purpose of the Study:

  • Introduce and study weighted cumulative past extropy (WCPJ) for continuous random variables.
  • Investigate the properties and inequalities of WCPJ.
  • Develop and evaluate an empirical test statistic based on WCPJ for reliability analysis.

Main Methods:

  • Definition and theoretical analysis of weighted cumulative past extropy.
  • Exploration of WCPJ properties related to order statistics.
  • Derivation of inequalities for WCPJ bounds.
Keywords:
empirical extropygoodness of fit testreliability theoryweighted cumulative past extropy

More Related Videos

Using Generative Art to Convey Past and Future Climate Transitions
06:10

Using Generative Art to Convey Past and Future Climate Transitions

Published on: March 31, 2023

1000
A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

10.7K

Related Experiment Videos

Last Updated: Jul 24, 2025

A Tactile Automated Passive-Finger Stimulator TAPS
19:44

A Tactile Automated Passive-Finger Stimulator TAPS

Published on: June 3, 2009

13.8K
Using Generative Art to Convey Past and Future Climate Transitions
06:10

Using Generative Art to Convey Past and Future Climate Transitions

Published on: March 31, 2023

1000
A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

10.7K
  • Development of an empirical WCPJ test statistic.
  • Numerical computation of critical cutoff points for the test statistic.

    • Main Results:

    • Demonstrated that equal WCPJs of the last order statistic imply equal distributions.
    • Obtained several inequalities involving bounds for WCPJ.
    • Proposed a new test statistic for reliability analysis.
    • Simulation studies compared the proposed test's power against alternatives, showing variable but sometimes superior performance.

    Conclusions:

    • The proposed weighted cumulative past extropy provides a valuable tool in statistical analysis and reliability theory.
    • The empirical WCPJ test statistic is a promising approach, offering a good balance of simplicity and information content.
    • Further research can explore applications in different statistical contexts and with various data types.