Chen's inequality

GPTKB entity

Properties (67)
Predicate Object
gptkbp:instanceOf gptkb:theorem
gptkbp:appliesTo real numbers
gptkbp:description relationship between means
gptkbp:hasRelatedPatent economics
https://www.w3.org/2000/01/rdf-schema#label Chen's inequality
gptkbp:isActiveIn mathematical research
gptkbp:isAssociatedWith statistical modeling
measure theory
statistical theorems
gptkbp:isATypeOf inequality
gptkbp:isAvenueFor finance
statistics
random variables
quality control
estimation theory
social_sciences
gptkbp:isCitedIn academic papers
scientific literature
theses
gptkbp:isConsidered risk assessment
theoretical frameworks
theoretical studies
empirical studies
gptkbp:isDiscussedIn workshops
conferences
mathematical literature
academic seminars
gptkbp:isExaminedBy textbooks
online courses
gptkbp:isExploredIn research studies
mathematical proofs
mathematical discussions
gptkbp:isImportantFor decision theory
statistical inference
data interpretation
gptkbp:isNamedAfter gptkb:L._H._Chen
gptkbp:isPartOf mathematical analysis
inequality theory
theory of inequalities
probability curriculum
probability theory curriculum
gptkbp:isReferencedIn academic journals
educational materials
research articles
gptkbp:isRelatedTo gptkb:Cauchy-Schwarz_inequality
L'Hôpital's rule
statistical analysis
Chebyshev's inequality
Bernoulli's_inequality
Jensen's_inequality
Markov's_inequality
Tchebycheff's_inequality
gptkbp:isUsedBy compare expected values
derive other inequalities
gptkbp:isUsedFor data analysis
hypothesis testing
modeling uncertainty
E[X] ≤ E[Y] for certain conditions
gptkbp:isUsedIn risk management
quantitative research
algorithm design
probability theory
risk assessment models
gptkbp:isUtilizedIn machine learning
data science
forecasting
gptkbp:isVisitedBy mathematical induction