Talk:Catalog of articles in probability theory

List updater
In subsection A below, listed are articles which are missing from the Catalog of articles in probability theory. They were found by looking in the categories in subsection C. One can add more categories to be searched to subsection C, see some suggestions in subsection D.

All this process can be restarted by clicking on the link at the bottom of subsection E.

Please note that anything around here is editable, but please don't modify the lines of the form

or their order.

A: Articles missing from the Catalog of articles in probability theory
A Treatise on Probability -- Ambit field -- Cantelli's inequality -- Cauchy–Schwarz inequality -- Chain rule (probability) -- Conditional dependence -- Conductance (graph) -- Contiguity (probability theory) -- Covariance operator -- Decoupling (probability) -- Dual total correlation -- E-net (probability theory) -- Ergodicity -- Euclidean random matrix -- Experiment (probability theory) -- Fractional Poisson process -- Fréchet inequalities -- G-expectation -- High-dimensional statistics -- Impossibility of a gambling system -- Inclusion–exclusion principle -- Independent and identically distributed random variables -- Jessen–Wintner theorem -- Join (sigma algebra) -- Kinetic scheme -- Krichevsky–Trofimov estimator -- Laplace functional -- Law of truly large numbers -- Lottery (probability) -- Mean dependence -- Multiscale decision-making -- Nonlinear expectation -- Polya urn model -- Posterior predictive distribution -- Postselection -- Principles of the Theory of Probability -- Probability measure -- Proofs of convergence of random variables -- Random function -- Residual time -- Rollo Davidson Prize -- Seven states of randomness -- Sigma-algebra -- Stability postulate -- The rich get richer (statistics) -- Total correlation -- Total variation distance of probability measures -- Tree diagram (probability theory) -- Uncertainty theory -- Usual hypotheses -- Aumann's agreement theorem -- Bussgang theorem -- Cameron–Martin theorem -- Campbell's theorem (probability) -- Continuous mapping theorem -- Dawson–Gärtner theorem -- Dominated convergence theorem -- Doob decomposition theorem -- Doob–Dynkin lemma -- Dynkin's lemma -- Feller's coin-tossing constants -- Fernique's theorem -- Gleason's theorem -- Isolation lemma -- Isserlis' theorem -- Kolmogorov's three-series theorem -- Leftover hash lemma -- Lukacs's proportion-sum independence theorem -- Palm–Khintchine theorem -- Pickands–Balkema–de Haan theorem -- Poisson limit theorem -- Poisson scatter theorem -- Raikov's theorem -- Reversed compound agent theorem -- Sklar's theorem -- Structure theorem for Gaussian measures -- Wendel's theorem -- Wiener–Khinchin theorem -- Convection–diffusion equation -- Kolmogorov backward equations (diffusion) -- Balance equation -- Basic affine jump diffusion -- Branching random walk -- Brownian excursion -- Bulk queue -- Chernoff's distribution -- Continuous-time stochastic process -- Dynamic contagion process -- Ehrenfest model -- Extinction probability -- File dynamics -- Fleming–Viot process -- Fluid queue -- Gaussian free field -- Gaussian noise -- Growth curve -- Heterogeneous random walk in one dimension -- Hierarchical Dirichlet process -- Komlós–Major–Tusnády approximation -- Life-time of correlation -- Lévy arcsine law -- M/G/1 queue -- M/M/1 queue -- M/M/c queue -- Minimal-entropy martingale measure -- Moment closure -- Narrow escape problem -- Numéraire -- Piecewise-deterministic Markov process -- Predictable process -- Random structure function -- Reflected Brownian motion -- Regenerative process -- Risk of ruin -- Self-similar process -- Sigma-martingale -- Stationary sequence -- Statistical fluctuations -- Stochastic drift -- Stochastic measurement procedure -- Stochastic prediction procedure -- Stochastic resonance -- Stochastic thinking -- System size expansion -- Traffic equations -- Two-state trajectory -- Uniformization (probability theory) -- Voter model -- WSSUS model -- Wold's theorem -- Bertrand paradox (probability) -- Wason selection task -- Correlation inequality -- Hoeffding's lemma -- Hölder's inequality -- Kunita–Watanabe theorem -- Sanov's theorem -- Talagrand's concentration inequality -- CDF-based nonparametric confidence interval -- Dvoretzky–Kiefer–Wolfowitz inequality -- Shattered set -- Circular law -- Inverse matrix gamma distribution -- Marchenko–Pastur distribution -- Matrix gamma distribution -- Matrix t-distribution -- Giant component -- Percolation critical exponents -- Rado graph -- Random tree -- Kazamaki's condition --

B: Place here articles not wanted either in the Catalog of articles in probability theory or in subsection A.
Disambiguation:

Normal sequence -- Zero-one law -- Path space -- Stationary distribution -- Lebesgue space --

Redirection:

Mean-reverting process --

Sections listed, rather than the whole article:

Anderson's theorem -- Contiguity -- Subjectivism -- Total variation -- Filtration (mathematics) --

A more probabilistic article listed:

Infinite divisibility -- Local independence --

Do not fit:

Paradoxes:

Loyer's paradox -- Miwins dice --

Probability theory:

Coherence (statistics) -- Condorcet's jury theorem -- Cue validity -- Dobinski's formula -- Doomsday argument -- Expected gain -- Expected return -- Fuzzy measure theory -- Multiscale decision making -- Network probability matrix -- Numerical parameter -- Polar distribution -- Probabilistic argumentation -- Probabilistic voting theory -- Self-Indication Assumption Doomsday argument rebuttal -- Statistical interference -- Wyatt Earp effect --

Stochastic differential equations:

Stochastic partial differential equation -- Zakai equation --

Stochastic processes:

Analysis on fractals -- BCMP network -- Biased random walk (biochemistry) -- Brownian tree -- Covariance intersection -- Cyclostationary process -- Detrended fluctuation analysis -- Diffusion process -- Dissociated press -- Doubly stochastic model -- Evacuation process simulation -- Faustmann's formula -- Fleming-Viot process -- Generalized Wiener process -- Hurst exponent -- Increasing process -- Jackson network -- Jackson's theorem (queueing theory) -- Kushner equation -- Lag operator -- List of stochastic processes topics -- Long-tail traffic -- Markov chain geostatistics -- Markovian arrival processes -- Mean value analysis -- Nonlinear autoregressive exogenous model -- Polynomial chaos -- Queueing model -- Random walk hypothesis -- Reversible dynamics -- STAR model -- Stationary ergodic process -- Stochastic approximation -- Stochastic kernel estimation -- Stochastic optimization -- Stochastic simulation -- Substitution model -- Time reversibility -- Utilization -- Variable-order Bayesian network -- White noise -- Wiener filter --

Empirical processes:

Shattering --

Random graphs:

Maze generation algorithm --

C: Categories to be searched
The bot will look for potential additions to the Catalog of articles in probability theory in this list of categories. You may add any other categories to this list, for example from subsection D below. Use the format Category:XXX (the colon shows up twice!).

Category:Probability theory -- Category:Probability theorems -- Category:Stochastic differential equations -- Category:Stochastic processes -- Category:Probability theory paradoxes -- Category:Probabilistic inequalities -- Category:Empirical process -- Category:Random matrices -- Category:Random graphs -- Category:Random dynamical systems -- Category:Martingale theory --

D: Potential searchable categories
Move up to subsection C any categories which the bot should search for missing articles in the Catalog of articles in probability theory.

Category:Algebra of random variables -- Category:Central limit theorem -- Category:Decision theory -- Category:Dempster–Shafer theory -- Category:Ergodic theory -- Category:Exotic probabilities -- Category:Large deviations theory -- Category:Probability distributions -- Category:Probability interpretations -- Category:Probability journals -- Category:Probability theorists -- Category:Stochastic algorithms -- Category:Theory of probability distributions -- Category:Hidden stochastic models -- Category:Long-memory processes -- Category:Markov processes -- Category:Point processes -- Category:Poisson processes -- Category:Queueing theory -- Category:Spatial processes -- Category:Stochastic calculus -- Category:Stochastic control -- Category:Stochastic models -- Category:Stochastic simulation -- Category:Time series analysis -- Category:Time series models -- Category:Variants of random walks --

E: Articles in Catalog of articles in probability theory not in categories
May be redirects or articles which should be removed/categorized.

Hardy–Weinberg principle -- Normal distribution -- Buffon's needle -- Aleatoric -- Factor graph -- Extractor (mathematics) -- Pachinko -- Zeta distribution -- Random field -- Zipf's law -- Stability (probability) -- Lottery machine -- Kullback–Leibler divergence -- Stochastic matrix -- Edgeworth series -- Markov switching multifractal -- Poker probability (Texas hold 'em) -- Illustration of the central limit theorem -- An inequality on location and scale parameters -- Spurious relationship -- Time series -- Market risk -- Erlang distribution -- Integral geometry -- Poker probability (Omaha) -- Negative binomial distribution -- Standard deviation -- Probabilistic Turing machine -- McDiarmid's inequality -- Markov property -- Lévy distribution -- Gamma distribution -- Bayesianism -- Kurtosis -- Probability amplitude -- Scaling limit -- Stable distribution -- Contiguity -- Continuous probability distribution -- Continuous-time Markov process -- Multivariate normal distribution -- Comonotonicity -- Probable prime -- Conductance (probability) -- Algebra of random variables -- Standardized moment -- Chapman–Kolmogorov equation -- Location parameter -- Fano factor -- Multinomial distribution -- Bookmaker -- Anomaly time series -- M/M/c model -- Vacuum expectation value -- Law of Truly Large Numbers -- Moment-generating function -- Semi-Markov process -- Birth-death process -- Good–Turing frequency estimation -- Ronald Fisher -- Inclusion-exclusion principle -- Population process -- Subjectivism -- Inverse probability -- Inverse gambler's fallacy -- Bhatia–Davis inequality -- Probabilistic algorithm -- Anderson's theorem -- Canonical correlation -- Law of total expectation -- Coupon collector's problem (generating function approach) -- Compound Poisson distribution -- Probabilistic proofs of non-probabilistic theorems -- Mutual information -- Fermi–Dirac statistics -- Lottery -- Erlang unit -- Independent and identically-distributed random variables -- Markov chain Monte Carlo -- Law of the unconscious statistician -- Lévy's convergence theorem -- Population genetics -- Integration of the normal density function -- Skew normal distribution -- Transferable belief model -- Prior probability -- H-derivative -- Estimation of covariance matrices -- Roulette -- Law of total variance -- Autoregressive moving average model -- Law of total covariance -- Entropy (information theory) -- Half circle distribution -- Moving average model -- Probability distribution function -- Hypergeometric distribution -- Maxwell–Boltzmann statistics -- Covariance function -- Posterior probability -- Probability distributions -- Cumulative distribution function -- Power law -- Random sequence -- Central moment -- Markov network -- F-distribution -- Poisson hidden Markov model -- Random number generator -- Error function -- SIPTA -- Covariance -- Probability distribution -- Technical analysis -- Binomial probability -- Markov logic network -- Quantile -- Isserlis Gaussian moment theorem -- Equipossible -- Mutually exclusive -- Gaussian random field -- Randomness -- Bayes factor -- Pot odds -- Variable-order Markov model -- Filtration (mathematics) -- Monotone likelihood ratio -- Chi-squared distribution -- Malliavin derivative -- Markov chain mixing time -- Quantum Markov chain -- Jump-diffusion model -- Conditional random field -- Cosmic variance -- Copula (statistics) -- Non-homogeneous Poisson process -- Kolmogorov backward equation -- Itō isometry -- Statistical dispersion -- Probability density function -- Covariance matrix -- Kelly criterion -- Monte Carlo method -- Frequency probability -- Mean difference -- Correlation -- Heavy-tailed distribution -- Information entropy -- Coin flipping -- Uncorrelated -- Markov chain -- Brownian ratchet -- Propensity probability -- Stochastic convergence -- Markov decision process -- Factorial moment -- Itō calculus -- Geometric distribution -- Locality (statistics) -- Scale parameter -- Boolean model (probability theory) -- M/M/1 model -- Infinite divisibility (probability) -- Punnett square -- Coefficient of variation -- The Doctrine of Chances -- Gambler's ruin -- Metropolis algorithm -- Betting -- Kolmogorov’s generalized criterion -- Correlation function -- Phase-type distribution -- Location-scale family -- Critical phenomena -- Memorylessness -- Cumulant -- Mark V Shaney -- Box–Muller transform -- Risk -- Truncated distribution -- Cantor distribution -- Bayesian network -- Hidden Markov model -- Negative probability -- Quantum probability -- Total variation -- Discrete phase-type distribution -- Probabilistic logic -- Rule of succession -- Degenerate distribution -- Proebsting's paradox -- Geometric standard deviation -- Ergodic theory -- Hann function -- Checking if a coin is fair -- Gauss–Markov process -- Statistical mechanics -- The man who broke the bank at Monte Carlo -- Parimutuel betting -- Op (statistics) -- Exponential-logarithmic distribution -- Exponential family -- Wick product -- Allais paradox -- Index of coincidence -- Bayesian probability -- Cauchy distribution -- Parrondo's paradox -- Statistical regularity -- Lattice model (physics) -- Bertrand's paradox (probability) -- Dirichlet distribution -- Malliavin's absolute continuity lemma -- Spread betting -- Observational error -- Mathematics of bookmaking -- Leftover hash-lemma -- Factorial moment generating function -- Beta distribution -- Luck -- Poker probability -- Variance -- Gaussian matrix ensemble -- Expected value -- Kolmogorov’s criterion -- Inverse transform sampling method -- Partially observable Markov decision process -- Conjugate prior -- Stochastic calculus -- Random coil -- Logmoment generating function -- Gibbs sampling -- Bose–Einstein statistics -- Large deviations theory -- Panjer recursion -- Fluctuation theorem -- Volatility (finance) -- Joint probability distribution -- Probability-generating function -- Principle of maximum entropy -- Fisher–Tippett distribution -- Discrete probability distribution -- Pareto principle -- Weak convergence of measures -- Probabilistically checkable proof -- Autoregressive model -- Harris chain -- Graphical model -- Statistical physics -- Paley–Wiener integral -- Gambler's fallacy -- De Moivre–Laplace theorem -- Ewens's sampling formula -- BA model -- Randomization -- Benford's law -- Pascal's wager -- Birthday paradox -- Newton–Pepys problem -- Frequency (statistics) -- Malliavin calculus -- Weibull distribution -- Skewness -- History of probability -- Autoregressive integrated moving average -- Rate function -- Cox process -- Law of total cumulance -- Upper and lower probabilities -- Variance-to-mean ratio -- Impossible event -- Bernoulli distribution -- Exponential distribution -- Ornstein–Uhlenbeck operator -- Value at risk -- Las Vegas algorithm -- Probability -- McCullagh's parametrization of the Cauchy distributions -- Student's t-distribution -- Generalized normal distribution -- Compound Poisson process -- Maximum likelihood -- Stochastic programming -- Triangular distribution -- Skorokhod integral -- Pareto distribution -- Examples of Markov chains -- Uncertainty -- Asymptotic equipartition property -- Bible code -- Itô's lemma -- Stratonovich integral -- Bayesian model comparison -- Free probability -- Itô calculus -- Average -- Boltzmann factor -- Binomial distribution -- Partition function (mathematics) -- (a,b,0) class of distributions -- Taylor expansions for the moments of functions of random variables -- Urn problem -- Poisson distribution -- Martingale (betting system) -- Dutch book -- Wigner semicircle distribution -- Normally distributed and uncorrelated does not imply independent --

Refresh the above lists

Code index
It takes a while to understand the meaning of codes, esp those in parentheses. Also, the logic/hierarchy/purpose might be not clear at the first look. For example, the bsc accompanies every entry in "Basic notions" and looks like a mere abbreviation, so like a redundancy. The codes in parentheses in this section say nothing unless one reads through all the catalog.

As far as I can tell, the codes may be viewed as cross-references or labels that enable us to assign a couple of categories to any single entry (without repeating it on the page). The author may want to explain (here or on article's page) his intentions in this regard. This could be useful for further development.

I think we could also add an alphabetical index of codes with a few words of introduction / basic explanation. Is it possible to edit manually the first section (or add a new one) or it'll be overwritten by the bot? ptrf (talk) 09:03, 31 March 2009 (UTC)


 * We can remove the codes from "Catalog". They are really unavoidable only in "Source". In "Catalog" they can say something, but maybe too little. Namely, (1) if an article belongs (say) both to Markov processes and to Gaussian processes, it is marked "Gau Mar" in both occurrences. Also, "Mar (F:D)" says that it is (probably) about a Markov chain with a finite number of time instants and a finite state space. Still, if it is more confusing than helpful, we can remove it.


 * About an alphabetical index of codes etc. I think, we should first decide whether to remove the codes from "Catalog" or not, since further decisions depend on this first decision.


 * You may edit manually the first section (or add a new one); I shall bother to ensure that it will not be overwritten by the bot. It seems to me that here the explanations should be short; long explanations can appear elsewhere and be linked (like "How_to_edit" is now). But still, feel free to disagree. Boris Tsirelson (talk) 13:05, 31 March 2009 (UTC)

Thanks for your answer. Now, I see that a double code results in double entry on the page (I mean non-parenthetical codes). So they seem to add nothing to the actual content and might be safely deleted. However, the codes in parentheses give some additional information, 'tags' or 'categories'. Since it's easy to suppress it at any time, we may want to keep it for a while (maybe there'll be more input from others?). In this case, a short explanation or an index at the beginning would be in order. But if you think all the codes may go away right now I wouldn't oppose either. It's up to you. ptrf (talk) 15:32, 31 March 2009 (UTC)


 * Yes, double code results in double entry, but why "add nothing"? If you browse the "Markov" section and see "Gau Mar" you do get some additional information, namely, that probably this article is about processes that are both Markov and Gaussian. Still, you may say that it is more confusing than helpful, but you should not say that it is of absolutely no help. Maybe you just seek something about relations between Gaussian and Markovian; of course, you can compare the two sections, but this is more tedious. Boris Tsirelson (talk) 17:27, 31 March 2009 (UTC)


 * Another option to think about: to suppress "Mar" within the "Markov" section, but retain "Gau" and others; and similarly in other cases. By the way, the parenthetical codes are already suppressed in the "Stochastic calculus" section, since they all are automatically "(U:C)". Boris Tsirelson (talk) 17:34, 31 March 2009 (UTC)

Fair enough for "Gau Mar"; after all, regardless the number of occurrences of an entry, these are the "cross references" I positively mentioned too. The option of leaving only additional "categories": "Gau" in the "Mar" section and vice versa looks very interesting. What about a short explanation for parenthetical codes, something like "The codes in parentheses refer to number of variables involved and the type of the distribution. For example (...something...). The list of codes can be found in the table of contents". As to decision whether the codes are more useful or more puzzling, I'd stay neutral (keeping the status quo, waiting e.g. for more input from others). ptrf (talk) 19:17, 31 March 2009 (UTC)


 * OK, I'll add the short explanation for parenthetical codes. Now, what about "simple" (not parenthetical) codes? Should they be explained, too? Boris Tsirelson (talk) 19:47, 31 March 2009 (UTC)
 * I did (for parenthetical codes), by editing User:Tsirel/Bot parameters. Boris Tsirelson (talk) 10:35, 1 April 2009 (UTC)

OK. The simple codes are IMHO easier to understand, as their appear together with the explanations at the top of ToC and in first headings. I add a short sentence, but feel free to change it or even revert. Some ambiguity arises from the fact that in the ToC/headings the simple codes appear in parentheses too... (so maybe we'd better use "/" or something else). ptrf (talk) —Preceding undated comment added 20:12, 1 April 2009 (UTC).


 * I see. About your words "just abbreviations for categories", I feel some problem: these are similar but not identical to what is traditionally called categories in Wikipedia. Boris Tsirelson (talk) 20:36, 1 April 2009 (UTC)
 * Maybe "codes of the form (X:Y)" instead of "parenthetical codes"? Boris Tsirelson (talk) 20:44, 1 April 2009 (UTC)
 * Maybe this formulation: The codes of the form (X:Y) refer to number of random variables involved and the type of the distribution. For example (2:DC) means: two random variables, discrete or continuous. Other codes are just abbreviations for topics. The list of codes can be found in the table of contents. Boris Tsirelson (talk) 20:50, 1 April 2009 (UTC)

I'm fine with it (as you can see on the page). We spent a few of Kbytes for discussion, but IMHO the concise intro is a good outcome :) ptrf (talk) 07:33, 2 April 2009 (UTC)


 * Nice. For further progress, I am waiting for the final bot approval. Boris Tsirelson (talk) 08:32, 2 April 2009 (UTC)
 * The bot is approved. Boris Tsirelson (talk) 20:15, 8 April 2009 (UTC)


 * "Another option" discussed above is now implemented; abbreviations of topics are suppressed within their "home" sections. Boris Tsirelson (talk) 12:19, 9 April 2009 (UTC)

Reversion of rename
I have reverted the change of name to "List of probability theory topics" which was listed by someone as being "uncontroversial" (and then acted on in good faith). But this name-change clearly needs to be discussed. My reasons for opposing it is it that the contents are not a simple list, nor are even close to being one. There are complex coding issues for anyone trying to maintain the contents. The use of the name "List of probability theory topics" would prevent the creation of such a much-more-easily maintained list. If anyone does wany to renmae this then let's have a proper chance for others to discuss this by initiating a "controversial" move request. JA(000)Davidson (talk) 09:14, 25 May 2011 (UTC)

Useful?
Is it useful to keep an article like this? It looks like it's hardly possible to keep it up to date. I thought we have categories for this purpose. Marcocapelle (talk) 19:16, 8 December 2016 (UTC)


 * True. Without the late CataBotTsirel this page is dying. Boris Tsirelson (talk) 05:53, 9 December 2016 (UTC)