Everything about Normal-gamma distribution

🧭 Start here: a 6-step reading path

1. Read the overview: Normal-gamma distributionA 5-minute orientation
2. Skim a recent paper: A Novel Heavy-Tailed Kalman Filter Based on Normal-Exponential-Gamma DistributionInfluential work since 2022
3. Pick up a classic book: Bulletin of the United States Army Medical DepartmentThe most-reprinted book on the subject
4. Read the landmark paper: On characterizing the gamma and the normal distributionCited 161 times
5. Go sideways: Variational Bayesian methodsA closely related topic
6. Go sideways: Exponential distributionA closely related topic

🏆 Landmark papers (most cited)

• On characterizing the gamma and the normal distribution

  Ignacy Kotlarski · 1967 · Pacific Journal of Mathematics · 161 citations

• Normal-Based Methods for a Gamma Distribution

  K Krishnamoorthy, Thomas Mathew, Shubhabrata Mukherjee · 2008 · Technometrics · 112 citations

• Ontogenic development and tissue distribution of V gamma 1-expressing gamma/delta T lymphocytes in normal mice.

  P Pereira, D Gerber, S Y Huang · 1995 · The Journal of experimental medicine · 78 citations

• The gamma-normal distribution: Properties and applications

  Ayman Alzaatreh, Felix Famoye, Carl Lee · 2014 · Computational Statistics & Data Analysis · 75 citations

• Fitting a Gamma or Log-Normal Distribution to Fibre-Diameter Measurements on Wool Tops

  O. A. Y. Jackson · 1969 · Applied Statistics · 29 citations

• The truncated normal–gamma mixture as a distribution for lead time demand

  J. K. Ord, U. Bagchi · 1983 · Naval Research Logistics Quarterly · 19 citations

• An analysis of sequencing surgeries with durations that follow the lognormal, gamma, or normal distribution

  Sangdo Choi, Wilbert E. Wilhelm · 2012 · IIE Transactions on Healthcare Systems Engineering · 18 citations

• The distribution of Fc gamma RI, Fc gamma RII and Fc gamma R III on Langerhans' cells and keratinocytes in normal skin.

  M Tigalonowa, J R Bjerke, J K Livden · 1990 · Acta Dermato-Venereologica · 17 citations

🆕 Influential since 2022

• A Novel Heavy-Tailed Kalman Filter Based on Normal-Exponential-Gamma Distribution

  Zihao Jiang, Aijing Wang, Weidong Zhou · 2024 · IEEE Transactions on Circuits and Systems II: Express Briefs · 8 citations

• Variance-mean mixture of multivariate normal distribution and weighted gamma distribution: properties and applications

  Fatma Zehra Doğru, Olcay Arslan · 2022 · Journal of the Korean Statistical Society · 2 citations

• Bayesian Inference of Ammunition Consumption Based on Normal‐Inverse Gamma Distribution

  Haobang Liu, Xianming Shi, Xiaojuan Chen · 2022 · Discrete Dynamics in Nature and Society · 2 citations

• Joint distribution properties of fully conditional specification under the normal linear model with normal inverse-gamma priors

  Mingyang Cai, Stef van Buuren, Gerko Vink · 2023 · Scientific Reports · 2 citations

• Investigating homogeneity of variance in normal, skewed-normal, and gamma distributions: A simulation study

  Serpil Çelikten Demirel, Ayşenur Erdemir, Esra Oyar · 2025 · International Journal of Assessment Tools in Education · 1 citations

📚 Books worth reading

• Bulletin of the United States Army Medical DepartmentUnited States. Army Medical Service. · 1944
• Mathematical Methods in the Physical SciencesMary L. Boas, Mary Layne Boas · 1966
• Introduction to Probability and StatisticsJ. Susan Milton, Jesse C. Arnold · 1990
• An Introduction to Probability Theory and Its Applications [2/2]William Feller · 1966
• Engineering Modelling and AnalysisDavid Walker, Michael Leonard · 2009
• 📕Reviews in modern astronomyReinhard Schielicke, Astronomische Gesellschaft (Germany). Meeting · 1996
• Analysis of a System Reliability Lower Confidence Limit Assuming Gamma and Truncated Normal Failure DistributionsJohn Paul Aucella · 1968
• Probability and statistics for engineers and scientistsAnthony Hayter · 2012

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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