July 1, 2024

Valerio Gherardi

Thermodynamics

Physics

Describing a pure substance at a phase transition in terms of internal energy and volume removes all degeneracies.

June 24, 2024

Valerio Gherardi

Comment on...

Thermodynamics

Physics

A seminal article with enlightening views on the logical structure of Thermodynamics.

June 3, 2024

Valerio Gherardi

Comment on...

Selective Inference

Model Selection

Statistics

An interesting idea for dealing with selective inference.

June 1, 2024

Valerio Gherardi

Thermodynamics

Physics

Close-up on the equivalence between Kelvin's/Clausius' postulates and Clausius' *theorem*.

May 23, 2024

Valerio Gherardi

Comment on...

Authorship Verification

Natural Language Processing

Machine Learning

Music

Statistics

An open access paper by M. Glickman, J. Brown, and R. Song.

May 22, 2024

Valerio Gherardi

Sequential Hypothesis Testing

Bayesian Methods

Frequentist Methods

Statistics

A general bound on the type I error rate of Bayesian sequential hypothesis testing based on the Bayes factor.

May 17, 2024

Valerio Gherardi

Model Selection

Linear Models

Regression

Statistics

R

Some illustrations of the Akaike Information Criterion (AIC) at work in a toy example.

April 25, 2024

Valerio Gherardi

Authorship Verification

Natural Language Processing

Forensic Science

Machine Learning

Statistics

R

Notes on preprint 2403.08462 by A. Nini, O. Halvani, L. Graner, S. Ishihara and myself.

April 25, 2024

Valerio Gherardi

Comment on...

Bayesian Methods

Statistics

On the importance of model checks in Bayesian data analysis.

April 18, 2024

Valerio Gherardi

Comment on...

Hypothesis Testing

Statistics

Why observed power calculations are useless (plus a few other points I don't buy).

March 13, 2024

Valerio Gherardi

Model Selection

Linear Models

Regression

Statistics

Does knowledge of noise variance have any effect on model selection for the mean?

March 7, 2024

Valerio Gherardi

Comment on...

Maximum Likelihood Estimation

Linear Models

Statistics

A nice review of properties of Deviance for one parameter exponential families.

March 6, 2024

Valerio Gherardi

Population Dynamics

Biology

Ecology

Statistics

Some notes on the causes of overdispersion in count data.

March 4, 2024

Valerio Gherardi

Open Systems

Thermodynamics

Physics

Matter transfer in open systems changes the relationship between heat and entropy, and work and volume.

Feb. 22, 2024

Valerio Gherardi

Atmospheric Physics

Fluid Dynamics

Waves

Physics

Compares the "parcel" method with standard linearization of fluid dynamics equations.

Jan. 29, 2024

Valerio Gherardi

Probability Theory

... are independent fair coin tosses.

Nov. 15, 2023

Valerio Gherardi

Forensic Science

Bayesian Methods

Information Theory

Probability Theory

R

Analysis of infinite sample properties and comparison with cross-entropy loss.

Nov. 3, 2023

Valerio Gherardi

Probability Theory

Measure Theory

Notes on the formal definition of conditional probability.

Oct. 31, 2023

Valerio Gherardi

Information Theory

Entropy

Probability Theory

Generalities about prefix-free (a.k.a. instantaneous) codes

July 27, 2023

Valerio Gherardi

AB testing

Sequential Hypothesis Testing

Frequentist Methods

Statistics

R

False Positive Rates under repeated checks - a simulation study using R.

July 11, 2023

Valerio Gherardi

Statistics

Model Misspecification

Regression

Linear Models

R

Some options in R, using the `{lmtest}` package.

June 14, 2023

Valerio Gherardi

Mathematics

Probability Theory

Sufficient conditions for independence of sum and ratio.

June 7, 2023

Valerio Gherardi

Statistics

Frequentist Methods

Causal Inference

Notes and proofs of basic theorems

June 7, 2023

Valerio Gherardi

Probability Theory

Measure Theory

Frequentist Methods

Statistics

Self-reassurance that p-value properties don't depend on regularity assumptions on the test statistic.

May 25, 2023

Valerio Gherardi

Statistics

Regression

Time Series

Linear Models

Model Misspecification

R

Effects of noise autocorrelation on linear regression. Explicit formulae and a simple simulation.

May 14, 2023

Valerio Gherardi

Statistics

Regression

Linear Models

Model Misspecification

R

Being wrong in the right way. With R excerpts.

May 12, 2023

Valerio Gherardi

Statistics

Regression

Linear Models

Model Misspecification

OLS estimators are consistent but generally biased - here's an example.

May 1, 2023

Valerio Gherardi

Statistics

Confidence Intervals

Frequentist Methods

Bayesian Methods

Compares frequentist properties of credible intervals and confidence intervals in a gambling game involving a magic piggy bank.

March 30, 2023

Valerio Gherardi

Statistics

*Cum hoc ergo propter hoc*

Nov. 25, 2022

Valerio Gherardi

Statistics

Selective Inference

Model Misspecification

Mathematicals details on Selective Inference, model misspecification and coverage guarantees.

Nov. 14, 2022

Valerio Gherardi

Statistics

Selective Inference

R

Introducing the problem of Selective Inference, illustrated through a simple simulation in R.

Nov. 13, 2021

Valerio Gherardi

Natural Language Processing

R

kgrams: Classical k-gram Language Models in R.

July 25, 2021

Valerio Gherardi

R

{runi}, an R package to interact with R-universe repository APIs

July 21, 2021

Valerio Gherardi

R

Create automatic resumes of your R packages using the R-Universe API.

July 6, 2021

Valerio Gherardi

Data Structures

R

Introducing {r2r}, an R implementation of hash tables.

July 6, 2021

Valerio Gherardi

Other

A short description of the post.

- Articles (36)
- AB testing (1)
- Atmospheric Physics (1)
- Authorship Verification (2)
- Bayesian Methods (4)
- Biology (1)
- Causal Inference (1)
- Comment on... (6)
- Confidence Intervals (1)
- Data Structures (1)
- Ecology (1)
- Entropy (1)
- Fluid Dynamics (1)
- Forensic Science (2)
- Frequentist Methods (5)
- Hypothesis Testing (1)
- Information Theory (2)
- Linear Models (7)
- Machine Learning (2)
- Mathematics (1)
- Maximum Likelihood Estimation (1)
- Measure Theory (2)
- Model Misspecification (5)
- Model Selection (3)
- Music (1)
- Natural Language Processing (3)
- Open Systems (1)
- Other (1)
- Physics (5)
- Population Dynamics (1)
- Probability Theory (6)
- R (12)
- Regression (6)
- Selective Inference (3)
- Sequential Hypothesis Testing (2)
- Statistics (21)
- Thermodynamics (4)
- Time Series (1)
- Waves (1)

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Text and figures are licensed under Creative Commons Attribution CC BY-SA 4.0. Source code is available at https://github.com/vgherard/vgherard.github.io/, unless otherwise noted. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".