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Everything about Exact statistics
Type of statistic
Exact statistics, such as that described in exact test, is a branch of statistics that was developed to provide more accurate results pertaining to statistical testing and interval estimation by eliminating procedures based on asymptotic and approximate statistical methods. The main characteristic of exact methods is that statistical tests and confidence intervals are based on exact probability statements that are valid for any sample size. Exact statistical methods help avoid some of the unreasonable assumptions of traditional statistical methods, such as the assumption of equal variances in classical ANOVA. They also allow exact inference on variance components of mixed models. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Exact statisticsA 5-minute orientation
- Skim a recent paper: Mpemba effect in a Langevin system: Population statistics, metastability, and other exact resultsInfluential work since 2022
- Pick up a classic book: Entropy and EnergyThe most-reprinted book on the subject
- Read the landmark paper: On the exact distribution of maximally selected rank statisticsCited 605 times
- Go sideways: Generalized p-valueA closely related topic
- Go sideways: Pivotal quantityA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the exact distribution of maximally selected rank statistics
Exact Properties of Some Exact Test Statistics for Comparing Two Binomial Proportions
Algorithm AS 177: Expected Normal Order Statistics (Exact and Approximate)
Exact Occupation Statistics for One-Dimensional Arrays of Dumbbells
Exact Extremal Statistics in the Classical 1D Coulomb Gas
Exact SINR Statistics in the Presence of Heterogeneous Interferers
Exact Tests of Serial Correlation using Noncircular Statistics
Blackbody radiation in nonextensive Tsallis statistics: Exact solution
🆕 Influential since 2022
Mpemba effect in a Langevin system: Population statistics, metastability, and other exact results
Exact extreme, order, and sum statistics in a class of strongly correlated systems
Brownian Particle in a Poisson‐Shot‐Noise Active Bath: Exact Statistics, Effective Temperature, and Inference
Exact spectral statistics in strongly localized circuits
The spectroscopy of Kerr–Einstein–Maxwell-dilaton-axion: exact quasibound states, scalar cloud, horizon’s Boson statistics and superradiant
📚 Books worth reading
Entropy and EnergyIngo Müller, Wolf Weiss · 2005- 📕Energy statistics of OECD countriesInternational Energy Agency · 1990
Measurement of Power Spectra from the Point of VieR. B. Blackman · 1958
The international energy relations of ChinaKim Woodard · 1980
Combinatorics and Random Matrix TheoryJinho Baik, Percy Deift · 2016
Optimization of Objective FunctionsNinul Anatoly Sergeevich · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Generalized p-value In statistics, a generalized p-value is an extended version of the classical p-value, which except in a limited number of applications, provides only approximat…
- Pivotal quantity In statistics, a pivotal quantity or pivot is a function of observations and unobservable parameters such that the function's probability distribution…
- Z-test A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution…
- Sample size determination Sample size determination or estimation is the act of choosing the number of observations or replicates to include in a statistical sample. The sample…
- One-way analysis of variance In statistics, one-way analysis of variance (or one-way ANOVA) is a technique to compare whether two or more samples' means are significantly different…
- Standard error The standard error (SE) of a statistic is the standard deviation of its sampling distribution. It is the square root of the variance of an estimator of…
- Unbiased estimation of standard deviation In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated…
- T-statistic In statistics, the t-statistic is the ratio of the difference in a number’s estimated value from its assumed value to its standard error. It is used in…