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Probability and Statistical Research

Probability and Statistical Research is a research topic within Statistics and Probability. Science Explorer counts 5.1k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers covers a wide range of topics related to probability theory, statistical modeling, and data analysis. It includes discussions on survival models, nonparametric statistics, random variables, confidence intervals, data mining, clinical data repositories, and the application of Markov analysis. The cluster also delves into the gambler's ruin problem and its variations, showcasing a comprehensive exploration of probability and statistical methods.

  • Probability Theory
  • Statistical Modeling
  • Survival Models
  • Data Mining
  • Clinical Data
  • Random Variables
  • Confidence Intervals
  • Nonparametric Statistics
  • Gambler's Ruin Problem
  • Markov Analysis
Research works
5.1k
fractional, since 1950
In the world top 10%
509
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+2%
the tick is no change
Largest producer
Germany
33% of the 10 largest, 2022-now
Probability and Statistical Research

Which countries lead Probability and Statistical Research research?

By volume, Germany and the United States publish the most (159 and 121 works in 2022-now).

By volume, 2022-now

  1. 1 Germany 159 works
  2. 2 United States 121 works
  3. 3 United Kingdom 50 works
  4. 4 Poland 30 works
  5. 5 France 26 works
  6. 6 China 24 works
  7. 7 Italy 22 works
  8. 8 Switzerland 19 works
  9. 9 Canada 18 works
  10. 10 India 17 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

Germany: 32.7%United States: 25.0%United Kingdom: 10.3%Poland: 6.1%6 others listed: 25.9%33%largest
Germany159 · 32.7%United States121 · 25.0%United Kingdom50 · 10.3%Poland30 · 6.1%6 others listed126 · 25.9%

Shares of the rows listed above, not of the whole node.

Which institutions lead Probability and Statistical Research research?

By volume in 2022-now, Durham University publishes the most Probability and Statistical Research research, followed by TU Dortmund University and Centre National de la Recherche Scientifique.

By volume, 2022-now

  1. 1 Durham UniversityUnited Kingdom 14 works
  2. 2 TU Dortmund UniversityGermany 8 works
  3. 3 Centre National de la Recherche ScientifiqueFrance 8 works
  4. 4 Helmholtz Association of German Research CentresGermany 7 works
  5. 5 Leibniz AssociationGermany 7 works
  6. 6 Russian Academy of SciencesRussia 5 works
  7. 7 Ludwig-Maximilians-Universität MünchenGermany 5 works
  8. 8 University of WarsawPoland 5 works
  9. 9 Klinikum LeverkusenGermany 4 works
  10. 10 NEC (China)China 3 works

Who are the leading researchers in Probability and Statistical Research?

The most-cited researchers publishing on Probability and Statistical Research include Amos Tversky, Leo Breiman and Marko Sarstedt.

  1. 1 Amos Tversky United States 327k citations
  2. 2 Leo Breiman United States 243k citations
  3. 3 Marko Sarstedt Germany 221k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Probability and Statistical Research?

The most cited paper in Probability and Statistical Research is "Information Theory and an Extension of the Maximum Likelihood Principle" (Hirotogu Akaike, 1998), with 18,124 citations. Next come "On the psychology of prediction." (6,292) and "Statistical distance and the geometry of quantum states" (3,236).

Most cited papers
#PaperReleasedCitations
1 Information Theory and an Extension of the Maximum Likelihood Principle Hirotogu Akaike · Springer series in statistics Book chapter 1998 18,124
2 On the psychology of prediction. Daniel J. Kahneman, Amos Tversky · Psychological Review Jul 1973 6,292
3 Statistical distance and the geometry of quantum states Samuel L. Braunstein, Carlton M. Caves · Physical Review Letters 30 May 1994 3,236
4 On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities Vladimir N. Vapnik, Alexey Ya. Chervonenkis Book chapter 2015 3,197
5 Metaprop: a Stata command to perform meta-analysis of binomial data Victoria Nyawira Nyaga, Marc Arbyn, Marc Aerts · Archives of Public Health ReviewOpen access 10 Nov 2014 2,208
All 100 most cited papers, with filters and sorting

Where is Probability and Statistical Research research done?

The largest centres of Probability and Statistical Research research in 2022-now are Durham (United Kingdom), Munich (Germany), London (United Kingdom) and Warsaw (Poland).

Largest cities, 2022-now

  1. 1 DurhamUnited Kingdom 13 works
  2. 2 MunichGermany 12 works
  3. 3 LondonUnited Kingdom 11 works
  4. 4 WarsawPoland 10 works
  5. 5 KarlsruheGermany 9 works
  6. 6 ParisFrance 8 works
  7. 7 DortmundGermany 8 works
  8. 8 BerlinGermany 7 works
  9. 9 ZurichSwitzerland 7 works
  10. 10 BeijingChina 7 works
See Probability and Statistical Research on the map

Where is the best place to study Probability and Statistical Research?

Among universities, judged by research, Durham University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Durham UniversityUnited Kingdom 0.013.4%64.4×14 -29.0%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Probability and Statistical Research, country by country

Is Probability and Statistical Research research growing?

Output in 2022-2025 was 2% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Probability and Statistical Research.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Probability and Statistical Research as a percentage of every work published that year, 0.0021% in 2024.

still counting0.010%0.020%Probability and Statistical Research0.0030% in 202519801990200020102020

Fractional works of Probability and Statistical Research over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Probability and Statistical Research10.5% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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