D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 33 Citations 17,550 88 World Ranking 2100 National Ranking 893

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

1987 - Samuel S. Wilks Memorial Award, American Statistical Association (ASA)

1980 - Member of the National Academy of Sciences

1974 - Fellow of the American Academy of Arts and Sciences

1968 - Wald Memorial Lecturer

1961 - Fellow of the American Statistical Association (ASA)

Overview

What is he best known for?

The fields of study he is best known for:

  • Statistics
  • Normal distribution
  • Mathematical analysis

His primary scientific interests are in Asymptotic distribution, Statistics, Statistical hypothesis testing, Likelihood-ratio test and Likelihood function. Herman Chernoff combines subjects such as Mathematical analysis, Asymptotic analysis, Order statistic and Sampling distribution with his study of Asymptotic distribution. His is involved in several facets of Statistics study, as is seen by his studies on Normal distribution, Random variable and Probability distribution.

His Normal distribution research is multidisciplinary, incorporating elements of Illustration of the central limit theorem and Cumulative distribution function, Q-function. The study of Likelihood-ratio test is intertwined with the study of Combinatorics in a number of ways. His biological study spans a wide range of topics, including Goodness of fit, Test statistic, Restricted maximum likelihood and Score test.

His most cited work include:

  • A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations (2970 citations)
  • The Use of Faces to Represent Points in k- Dimensional Space Graphically (1063 citations)
  • On the Distribution of the Likelihood Ratio (598 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Statistics, Applied mathematics, Mathematical optimization, Decision theory and Combinatorics. His study in Likelihood-ratio test, Bayes' theorem, Asymptotic distribution, Random variable and Likelihood function falls within the category of Statistics. His Score test study in the realm of Likelihood-ratio test connects with subjects such as Noncentral chi-squared distribution.

Design of experiments and Statistical hypothesis testing is closely connected to Optimal design in his research, which is encompassed under the umbrella topic of Mathematical optimization. The Combinatorics study combines topics in areas such as Zero, Probability distribution, Illustration of the central limit theorem and Normal distribution. The study incorporates disciplines such as Monte Carlo method and Mathematical analysis in addition to Normal distribution.

He most often published in these fields:

  • Statistics (32.65%)
  • Applied mathematics (15.31%)
  • Mathematical optimization (12.24%)

What were the highlights of his more recent work (between 1999-2017)?

  • Statistics (32.65%)
  • Variables (4.08%)
  • Machine learning (4.08%)

In recent papers he was focusing on the following fields of study:

His main research concerns Statistics, Variables, Machine learning, Artificial intelligence and Clustering high-dimensional data. His work in Sample size determination and Fisher's exact test are all subfields of Statistics research. His Fisher's exact test study combines topics in areas such as Yates's correction for continuity, Applied mathematics, Table and Bayes' theorem.

In his work, Data set and Word error rate is strongly intertwined with Feature selection, which is a subfield of Variables. His work is dedicated to discovering how Machine learning, Measure are connected with Statistical theory, Algorithm, Upper and lower bounds and Sample and other disciplines. His Artificial intelligence research is multidisciplinary, relying on both Partition and Trend analysis.

Between 1999 and 2017, his most popular works were:

  • Why significant variables aren’t automatically good predictors (120 citations)
  • Growth factor induced fibroblast differentiation from human bone marrow stromal cells in vitro (68 citations)
  • Discovering influential variables: A method of partitions (28 citations)

In his most recent research, the most cited papers focused on:

  • Statistics
  • Normal distribution
  • Mathematical analysis

Herman Chernoff focuses on Clustering high-dimensional data, Precision medicine, Gene regulatory network, Estrogen receptor alpha and Single-nucleotide polymorphism. His Clustering high-dimensional data research incorporates Haystack, Feature selection, Machine learning, Trend analysis and Artificial intelligence. His Precision medicine research is multidisciplinary, incorporating perspectives in Selection, Personalized medicine, Econometrics and Word error rate.

His research integrates issues of Statistical significance and Data set in his study of Word error rate. His Gene regulatory network research incorporates a variety of disciplines, including Gene, Genetic marker, Case-control study, Genetics and Cancer. Herman Chernoff integrates Estrogen receptor alpha and Candidate gene in his studies.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

Herman Chernoff.
Annals of Mathematical Statistics (1952)

4595 Citations

The Use of Faces to Represent Points in k- Dimensional Space Graphically

Herman Chernoff.
Journal of the American Statistical Association (1973)

2306 Citations

On the Distribution of the Likelihood Ratio

Herman Chernoff.
Annals of Mathematical Statistics (1954)

947 Citations

Elementary Decision Theory

Herman Chernoff;Lincoln Moses.
(1959)

894 Citations

Locally Optimal Designs for Estimating Parameters

Herman Chernoff.
Annals of Mathematical Statistics (1953)

882 Citations

ESTIMATING THE CURRENT MEAN OF A NORMAL DISTRIBUTION WHICH IS SUBJECTED TO CHANGES IN TIME

H. Chernoff;S. Zacks.
Annals of Mathematical Statistics (1964)

820 Citations

ASYMPTOTIC NORMALITY AND EFFICIENCY OF CERTAIN NONPARAMETRIC TEST STATISTICS

Herman Chernoff;I. Richard Savage.
Annals of Mathematical Statistics (1958)

813 Citations

The Use of Maximum Likelihood Estimates in {\chi^2} Tests for Goodness of Fit

Herman Chernoff;Herman Chernoff;E. L. Lehmann;E. L. Lehmann.
Annals of Mathematical Statistics (1954)

725 Citations

Rational Selection of Decision Functions

Herman Chernoff.
Econometrica (1954)

653 Citations

Sequential Design of Experiments

Herman Chernoff.
Annals of Mathematical Statistics (1959)

508 Citations

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