On Mixtures from Exponential Families
Journal of the Royal Statistical Society Series B (Statistical Methodology)Published 1 January 1980
Moshe Shared
Citations130
SJR quartileQ1
SJR score3.31
SNIP2.48
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
Summary A mixture from exponential family is compared with a natural approximation in the family. It is shown that the two resulting densities must cross each other exactly twice and in a prescribed manner. A deeper understanding of the behaviour of some well known sets of data is obtained. Applications in reliability theory and for symmetric random walks are described.
Keywords
MathematicsDecision Sciences
TechnometricsStatistical Theory of Reliability and Life Testing-Probability Models
3,710 Citations1977Donald R. Smith, Richard E. Barlow +1 more
The Annals of Mathematical StatisticsThe Existence of Probability Measures with Given Marginals
1,335 Citations1965Volker Strassen
Comparison of Experiments
1,031 Citations1951David Blackwell
Pacific Journal of MathematicsGeneralized convex inequalities
226 Citations1963Samuel Karlin, Albert Novikoff
The Annals of Mathematical StatisticsInequalities for Linear Combinations of Order Statistics from Restricted Families
144 Citations1966Richard E. Barlow, Frank Proschan
The Annals of StatisticsA Concept of Positive Dependence for Exchangeable Random Variables
118 Citations1977Moshe Shaked
Journal of Applied ProbabilityMean life of series and parallel systems
44 Citations1970Albert W. Marshall, Frank Proschan
Annals of EugenicsTHE ANALYSIS OF HETEROGENEITY IN THE BINOMIAL DISTRIBUTION
37 Citations1951A. Robertson
