This page provides a list of all articles available at
PlanetMath in the following topic:
60-XX Probability theory and stochastic processes.
This list will be periodically updated. Each entry in the list has three fields:
PM : The first field is the link to the PlanetMath article, along with the article's object ID.
WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status
means PM article
N
not needed
A
adequately covered
C
copied
M
merged
NC
needs copying
NM
needs merging
Please update the WP and Status fields as appropriate.
if the WP field is correct please remove the qualifier "guess".
If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
{{planetmath|id=|title=}} for copied over text
{{planetmath reference|id=|title=}} for an external link
One can use the web-based program
Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
60-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
Some minor deficiencies in the WP article were rectified, and the article refactored. Added reference to PM article.
Ben Cairns 03:44, 2 Feb 2005 (UTC).
Expanded on the WP article, removing an old stub notice in the process. PM article has a nice
stochastic process example (interarrival times of a
Poisson process), but it didn't seem necessary to add it in.
Ben Cairns 05:55, 2 Feb 2005 (UTC).
Tricky one. PM article covers both almost surely and almost everywhere, but seems more about the former. Special case of PM's example appears in WP's almost everywhere (along with other examples given in some complicated inline maths). PS: I've fixed the inline unpleasantness.
Ben Cairns 13:09, 1 Feb 2005 (UTC).
Reliability of PM article has been questioned internally, it seems; related articles on neutrosophic sets and logic appear to have had WP versions deleted (they appear on google, but don't exist). So, this article does not seem appropriate for WP.
Ben Cairns 05:59, 3 Feb 2005 (UTC).
The PM article's definition is particularly restrictive and (possibly) obscure. The WP article seems adequate but I will defer to a better-informed reader. If you are familiar with the mathematics of this topic please check the articles and update this entry appropriately.
Ben Cairns 04:43, 4 Feb 2005 (UTC).
WP article covers support more generally for functions and distributions. Noted that probability measures are measures.
Ben Cairns 04:29, 4 Feb 2005 (UTC).
PM article explicitly uses a general metric for the difference between Xn and X but I don't think this is necessary here.
Ben Cairns 08:28, 12 April 2006 (UTC)reply
60B11 Probability theory on linear topological spaces
The WP article lacks the generating function of a binomial and the derivation of the mean and variance. Also needs refactoring and general clean-up!
Ben Cairns 11:15, 6 Feb 2005 (UTC).
Article covers all major modes of convergence of random variables. Made a couple of edits, but it was essentially all there.
Ben Cairns 11:47, 6 Feb 2005 (UTC).
The PM article starts with probability 'density' (should be 'mass') functions for discrete distributions, then extends to probability density functions for continuous distributions. It seems (from a quick scan) to contain an error in constructing the latter.
Ben Cairns 03:36, 7 Feb 2005 (UTC).
Could use some refactoring to synthesise the section on the law of small numbers with the law of rare events. Also added link to PM article.
Ben Cairns 12:13, 20 Feb 2005 (UTC).
PM article defines probability distribution functions as objects generalising both
probability mass functions and
probability density functions. Contrast common usage of distribution function as the
cumulative distribution function, and probability distribution as something somewhat less general than a
probability measure. Seems best merged with
probability distribution, but we should stick with WP's established terminology (which I happen to be familiar with myself). Nonetheless, content from this article should make an excellent contribution.
Ben Cairns 12:24, 20 Feb 2005 (UTC).
There is some good content here, including a more general Lyapunov condition, that could be merged. The historical note is also interesting.
Ben Cairns 12:37, 20 Feb 2005 (UTC).
WP's article is less formal (it avoids talking about filtrations), but seems adequate in the context. The concept of a filtration could be added to the article, but this might as well be done organically.
Ben Cairns 03:29, 16 Feb 2005 (UTC).
PM article is specific to Markov chains, but hitting times are a common quantity of interest in many stochastic processes.
Ben Cairns 03:46, 16 Feb 2005 (UTC).
This is specific to Markov chains, and is such a common problem in applications that it should be merged into that article.
Ben Cairns 03:46, 16 Feb 2005 (UTC).
This page provides a list of all articles available at
PlanetMath in the following topic:
60-XX Probability theory and stochastic processes.
This list will be periodically updated. Each entry in the list has three fields:
PM : The first field is the link to the PlanetMath article, along with the article's object ID.
WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status
means PM article
N
not needed
A
adequately covered
C
copied
M
merged
NC
needs copying
NM
needs merging
Please update the WP and Status fields as appropriate.
if the WP field is correct please remove the qualifier "guess".
If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
{{planetmath|id=|title=}} for copied over text
{{planetmath reference|id=|title=}} for an external link
One can use the web-based program
Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
60-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
Some minor deficiencies in the WP article were rectified, and the article refactored. Added reference to PM article.
Ben Cairns 03:44, 2 Feb 2005 (UTC).
Expanded on the WP article, removing an old stub notice in the process. PM article has a nice
stochastic process example (interarrival times of a
Poisson process), but it didn't seem necessary to add it in.
Ben Cairns 05:55, 2 Feb 2005 (UTC).
Tricky one. PM article covers both almost surely and almost everywhere, but seems more about the former. Special case of PM's example appears in WP's almost everywhere (along with other examples given in some complicated inline maths). PS: I've fixed the inline unpleasantness.
Ben Cairns 13:09, 1 Feb 2005 (UTC).
Reliability of PM article has been questioned internally, it seems; related articles on neutrosophic sets and logic appear to have had WP versions deleted (they appear on google, but don't exist). So, this article does not seem appropriate for WP.
Ben Cairns 05:59, 3 Feb 2005 (UTC).
The PM article's definition is particularly restrictive and (possibly) obscure. The WP article seems adequate but I will defer to a better-informed reader. If you are familiar with the mathematics of this topic please check the articles and update this entry appropriately.
Ben Cairns 04:43, 4 Feb 2005 (UTC).
WP article covers support more generally for functions and distributions. Noted that probability measures are measures.
Ben Cairns 04:29, 4 Feb 2005 (UTC).
PM article explicitly uses a general metric for the difference between Xn and X but I don't think this is necessary here.
Ben Cairns 08:28, 12 April 2006 (UTC)reply
60B11 Probability theory on linear topological spaces
The WP article lacks the generating function of a binomial and the derivation of the mean and variance. Also needs refactoring and general clean-up!
Ben Cairns 11:15, 6 Feb 2005 (UTC).
Article covers all major modes of convergence of random variables. Made a couple of edits, but it was essentially all there.
Ben Cairns 11:47, 6 Feb 2005 (UTC).
The PM article starts with probability 'density' (should be 'mass') functions for discrete distributions, then extends to probability density functions for continuous distributions. It seems (from a quick scan) to contain an error in constructing the latter.
Ben Cairns 03:36, 7 Feb 2005 (UTC).
Could use some refactoring to synthesise the section on the law of small numbers with the law of rare events. Also added link to PM article.
Ben Cairns 12:13, 20 Feb 2005 (UTC).
PM article defines probability distribution functions as objects generalising both
probability mass functions and
probability density functions. Contrast common usage of distribution function as the
cumulative distribution function, and probability distribution as something somewhat less general than a
probability measure. Seems best merged with
probability distribution, but we should stick with WP's established terminology (which I happen to be familiar with myself). Nonetheless, content from this article should make an excellent contribution.
Ben Cairns 12:24, 20 Feb 2005 (UTC).
There is some good content here, including a more general Lyapunov condition, that could be merged. The historical note is also interesting.
Ben Cairns 12:37, 20 Feb 2005 (UTC).
WP's article is less formal (it avoids talking about filtrations), but seems adequate in the context. The concept of a filtration could be added to the article, but this might as well be done organically.
Ben Cairns 03:29, 16 Feb 2005 (UTC).
PM article is specific to Markov chains, but hitting times are a common quantity of interest in many stochastic processes.
Ben Cairns 03:46, 16 Feb 2005 (UTC).
This is specific to Markov chains, and is such a common problem in applications that it should be merged into that article.
Ben Cairns 03:46, 16 Feb 2005 (UTC).