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Statistical Distribution Estimation and Applications

Statistical Distribution Estimation and Applications is a research topic within Statistics and Probability. Science Explorer counts 24k 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 focuses on the study, application, and inference of skew distributions, particularly the generalized exponential and Weibull distributions. It includes topics such as multivariate normality assessment, progressive censoring methodology, maximum likelihood estimation, Bayesian inference, lifetime modeling, goodness of fit tests, and parametric models.

  • Skew Distributions
  • Generalized Exponential
  • Weibull Distribution
  • Multivariate Normality
  • Progressive Censoring
  • Maximum Likelihood Estimation
  • Bayesian Inference
  • Lifetime Modeling
  • Goodness of Fit Tests
  • Parametric Models
Research works
24k
fractional, since 1950
In the world top 10%
2.4k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+1%
the tick is no change
Largest producer
India
19% of the 10 largest, 2022-now
Statistical Distribution Estimation and Applications

Which countries lead Statistical Distribution Estimation and Applications research?

By volume, India and China publish the most (509 and 498 works in 2022-now).

By volume, 2022-now

  1. 1 India 509 works
  2. 2 China 498 works
  3. 3 United States 352 works
  4. 4 Saudi Arabia 331 works
  5. 5 Egypt 263 works
  6. 6 Iran 169 works
  7. 7 Iraq 144 works
  8. 8 Nigeria 140 works
  9. 9 Türkiye 109 works
  10. 10 Brazil 99 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.

India: 19.5%China: 19.1%United States: 13.5%Saudi Arabia: 12.6%6 others listed: 35.3%19%largest
India509 · 19.5%China498 · 19.1%United States352 · 13.5%Saudi Arabia331 · 12.6%6 others listed924 · 35.3%

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

Which institutions lead Statistical Distribution Estimation and Applications research?

By volume in 2022-now, King Abdulaziz University publishes the most Statistical Distribution Estimation and Applications research, followed by King Saud University and Cairo University.

By volume, 2022-now

  1. 1 King Abdulaziz UniversitySaudi Arabia 48 works
  2. 2 King Saud UniversitySaudi Arabia 47 works
  3. 3 Cairo UniversityEgypt 43 works
  4. 4 Zagazig UniversityEgypt 35 works
  5. 5 Imam Mohammad ibn Saud Islamic UniversitySaudi Arabia 35 works
  6. 6 Princess Nourah bint Abdulrahman UniversitySaudi Arabia 35 works
  7. 7 Mustansiriyah UniversityIraq 25 works
  8. 8 McMaster UniversityCanada 24 works
  9. 9 Botswana International University of Science and TechnologyBotswana 24 works
  10. 10 Centre National de la Recherche ScientifiqueFrance 23 works

Who are the leading researchers in Statistical Distribution Estimation and Applications?

The most-cited researchers publishing on Statistical Distribution Estimation and Applications include Donald B. Rubin, Eugene F. Fama and Ralph B. D’Agostino.

  1. 1 Donald B. Rubin United States 301k citations
  2. 2 Eugene F. Fama United States 262k citations
  3. 3 Ralph B. D’Agostino United States 255k citations
  4. 4 Leo Breiman United States 243k citations
  5. 5 Gordon K. Smyth Australia 237k citations
  6. 6 Peter M. Bentler United States 233k citations
  7. 7 Jerome H. Friedman United States 224k citations
  8. 8 PAUL S. F. YIP China 196k citations
  9. 9 Daniel A. Bloch France 190k citations
  10. 10 Michael I. Jordan United States 182k 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 Statistical Distribution Estimation and Applications?

The most cited paper in Statistical Distribution Estimation and Applications is "Nonparametric Estimation from Incomplete Observations" (Edward L. Kaplan, Paul Meier, 1992), with 45,535 citations. Next come "Bayes Factors" (12,591) and "Sampling-Based Approaches to Calculating Marginal Densities" (6,716).

Most cited papers
#PaperReleasedCitations
1 Nonparametric Estimation from Incomplete Observations Edward L. Kaplan, Paul Meier · Springer series in statistics Book chapter 1992 45,535
2 Bayes Factors Robert E. Kass, Adrian E. Raftery · Journal of the American Statistical Association Jun 1995 12,591
3 Sampling-Based Approaches to Calculating Marginal Densities Alan E. Gelfand, A. F. M. Smith · Journal of the American Statistical Association Jun 1990 6,716
4 Testing the number of components in a normal mixture Yungtai Lo · Biometrika Oct 2001 4,649
5 Models for Longitudinal Data: A Generalized Estimating Equation Approach Scott L. Zeger, Kung‐Yee Liang, Paul S. Albert · Biometrics Dec 1988 4,581
All 97 most cited papers, with filters and sorting

Where is Statistical Distribution Estimation and Applications research done?

The largest centres of Statistical Distribution Estimation and Applications research in 2022-now are Riyadh (Saudi Arabia), Beijing (China), Jeddah (Saudi Arabia) and Cairo (Egypt). Among places with at least 20 works in it, it is an unusually large share of all research in Palapye.

Largest cities, 2022-now

  1. 1 RiyadhSaudi Arabia 127 works
  2. 2 BeijingChina 94 works
  3. 3 JeddahSaudi Arabia 73 works
  4. 4 CairoEgypt 72 works
  5. 5 BaghdadIraq 56 works
  6. 6 GizaEgypt 45 works
  7. 7 BangkokThailand 43 works
  8. 8 ZagazigEgypt 35 works
  9. 9 Al MansurahEgypt 33 works
  10. 10 TehranIran 30 works

Where it is the local speciality

  1. PalapyeBW · 23.6 works188×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Statistical Distribution Estimation and Applications than the world average.

See Statistical Distribution Estimation and Applications on the map

Where is the best place to study Statistical Distribution Estimation and Applications?

Among universities, judged by research, Delta University for Science and Technology, Imam Mohammad ibn Saud Islamic University and Princess Nourah bint Abdulrahman 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.

0%20%40%mean 20.36%fractional works in this field (log) →share of work in the world top 10% →Delta University for…Imam Mohammad ibn Sa…Princess Nourah bint…King Saud University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

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
1Delta University for Science and TechnologyEgypt 70.944.7%99.5×12 +166.0%
2Imam Mohammad ibn Saud Islamic UniversitySaudi Arabia 69.120.4%54.3×35 +250.7%
3Princess Nourah bint Abdulrahman UniversitySaudi Arabia 67.515.8%38.9×34 +850.7%
4King Saud UniversitySaudi Arabia 67.314.0%13.8×47 +164.0%
5King Abdulaziz UniversitySaudi Arabia 66.314.5%25.5×48 +12.9%
6Zagazig UniversityEgypt 65.924.5%27.2×35 +98.9%
7Mansoura UniversityEgypt 58.619.8%13.3×21 +53.0%
8Cairo UniversityEgypt 57.517.1%16.4×44 -3.1%
9Université de Caen NormandieFrance 53.119.5%30.8×18 +31.6%
10Prince Sattam Bin Abdulaziz UniversitySaudi Arabia 53.013.3%18.3×16 +201.7%

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 Statistical Distribution Estimation and Applications, country by country

Is Statistical Distribution Estimation and Applications research growing?

Output in 2022-2025 was 1% higher than in 2018-2021, peaking in 2021. The fastest-growing topics are Statistical Distribution Estimation and Applications.

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 Statistical Distribution Estimation and Applications as a percentage of every work published that year, 0.015% in 2024.

still counting0.020%0.040%0.060%Statistical Distribution Estimation and Applications0.015% in 202519801990200020102020

Fractional works of Statistical Distribution Estimation and Applications 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%Statistical Distribution Estimation and Applications9.8% 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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