Models of DNA evolution - Revision history

en>Genypholy: Syntax change in section ===Time reversibility===

2014-12-13T16:09:26Z

Syntax change in section ===Time reversibility===

← Older revision		Revision as of 18:09, 13 December 2014
Line 1:		Line 1:
	~~{{Probability distribution\|~~		Hi there, I am Alyson Pomerleau and I think it seems fairly great when you say it. Her family life in Ohio. Office supervising is what she does for a living. As a lady what she truly likes is fashion and she's been doing it for fairly a whilst.<br><br>Have a look at my site ... free psychic ([http://1.234.36.240/fxac/m001_2/7330 1.234.36.240])
	~~name =Half-logistic distribution\|~~
	~~type =density\|~~
	~~pdf_image =[[Image:Half-logistic distribution pdf.svg\|325px\|Probability density plots of half-logistic distribution]]\|~~
	~~cdf_image =[[Image:Half-logistic distribution cdf~~.~~svg\|325px\|Cumulative distribution plots of half-logistic distribution]]\|~~
	~~parameters =\|~~
	~~support =<math>k \~~in ~~[0;\infty)\!</math>\|~~
	~~pdf =<math>\frac{2 e^{-k}}{(1+e^{-k})^2}\!</math>\|~~
	~~cdf =<math>\frac{1-e^{-k}}{1+e^{-k}}\!</math>\|~~
	~~mean =<math>\log_e(4)=1.386\ldots</math>\|~~
	~~median =<math>\log_e(3)=1.0986\ldots</math>\|~~
	~~mode =0\|~~
	~~variance =<math>\pi^2/3-(\log_e(4))^2=1~~.~~368\ldots</math>\|~~
	~~skewness =\|~~
	~~kurtosis =\|~~
	~~entropy =\|~~
	~~mgf =\|~~
	~~char =\|~~
	}}



	~~In [[probability theory]] and [[statistics]], the '''half-logistic distribution'''~~ is a ~~continuous [[probability distribution]]—the distribution of the absolute value of a [[random variable]] following the [[logistic distribution]]~~. ~~That is, for~~

	~~:<math>X = \|Y\| \!</math>~~

	~~where ''Y'' is~~ a ~~logistic random variable, ''X''~~ is ~~a half-logistic random variable.~~

	~~== Specification ==~~
	~~=== Cumulative distribution function ===~~

	~~The [[cumulative distribution function]] (cdf) of the half-logistic distribution is intimately related to the cdf of the logistic distribution. Formally, if ''F''(''k'~~'~~) is the cdf~~ for ~~the logistic distribution, then ''G''(''k'') = 2''F''(''k'') − 1 is the cdf of~~ a ~~half-logistic distribution~~. ~~Specifically,~~

	:<~~math~~>~~G(k) = \frac{1-e^{-k}}{1+e^{-k}} \mbox{ for } k\geq 0. \!~~<~~/math~~>

	~~=== Probability density function ===~~

	~~Similarly, the [[probability density function]] (pdf) of the half-logistic distribution is ''g''(''k'') = 2''f''(''k'') if ''f''(''k'') is the pdf of the logistic distribution. Explicitly,~~

	~~:<math>g(k) = \frac{2 e^{-k}}{(1+e^{-k})^2} \mbox{ for } k\geq 0~~. ~~\!</math>~~

	~~==References==~~
	*{{cite book \| last = George \| first = Olusengun \| coauthors = Meenakshi Devidas \| editor = N. ~~Balakrishnan \| title = Handbook of the Logistic Distribution \| year = 1992 \| publisher = Marcel Dekker, Inc~~. ~~\| location = New York \| pages = 232–234 \| chapter = Some Related Distributions \| isbn = 0-8247-8587-8}}~~

	*{{cite journal \| first = A.K. \| last = Olapade \|date=February 2003 \| title = On Characterizations of the Half-Logistic Distribution \| journal = InterStat, \| issue = 2 \| url = http://~~interstat~~.~~statjournals~~.~~net~~/~~YEAR~~/~~2003~~/~~articles/0302002~~.~~pdf}}~~

	~~{{ProbDistributions\|half-logistic distribution}}~~

	~~[[Category:Continuous distributions]]~~
	~~[[Category:Probability distributions]~~]

en>FrescoBot: Bot: standard sections headers and minor changes

2013-12-24T16:47:47Z

Bot: standard sections headers and minor changes

← Older revision		Revision as of 18:47, 24 December 2013
Line 1:		Line 1:
	~~Hi there~~, ~~I am Sophia~~. I'~~ve usually loved residing in Kentucky but now I~~'~~m considering other options~~. ~~Credit authorising~~ is ~~how she tends~~ to ~~make a living~~. ~~My spouse doesn~~'~~t like it~~ the ~~way I do but what I truly like doing~~ is ~~caving but I don't have~~ the ~~time recently~~.<br><br>~~Here~~ is ~~my web site~~: ~~live psychic reading~~ ([http://~~netwk~~.~~hannam~~.~~ac.kr~~/xe/~~data_2~~/~~85669 netwk~~.~~hannam.ac.kr~~])		{{Probability distribution\|
			name =Half-logistic distribution\|
			type =density\|
			pdf_image =[[Image:Half-logistic distribution pdf.svg\|325px\|Probability density plots of half-logistic distribution]]\|
			cdf_image =[[Image:Half-logistic distribution cdf.svg\|325px\|Cumulative distribution plots of half-logistic distribution]]\|
			parameters =\|
			support =<math>k \in [0;\infty)\!</math>\|
			pdf =<math>\frac{2 e^{-k}}{(1+e^{-k})^2}\!</math>\|
			cdf =<math>\frac{1-e^{-k}}{1+e^{-k}}\!</math>\|
			mean =<math>\log_e(4)=1.386\ldots</math>\|
			median =<math>\log_e(3)=1.0986\ldots</math>\|
			mode =0\|
			variance =<math>\pi^2/3-(\log_e(4))^2=1.368\ldots</math>\|
			skewness =\|
			kurtosis =\|
			entropy =\|
			mgf =\|
			char =\|
			}}



			In [[probability theory]] and [[statistics]], the '''half-logistic distribution''' is a continuous [[probability distribution]]—the distribution of the absolute value of a [[random variable]] following the [[logistic distribution]]. That is, for

			:<math>X = \|Y\| \!</math>

			where ''Y'' is a logistic random variable, ''X'' is a half-logistic random variable.

			== Specification ==
			=== Cumulative distribution function ===

			The [[cumulative distribution function]] (cdf) of the half-logistic distribution is intimately related to the cdf of the logistic distribution. Formally, if ''F''(''k'') is the cdf for the logistic distribution, then ''G''(''k'') = 2''F''(''k'') − 1 is the cdf of a half-logistic distribution. Specifically,

			:<math>G(k) = \frac{1-e^{-k}}{1+e^{-k}} \mbox{ for } k\geq 0. \!</math>

			=== Probability density function ===

			Similarly, the [[probability density function]] (pdf) of the half-logistic distribution is ''g''(''k'') = 2''f''(''k'') if ''f''(''k'') is the pdf of the logistic distribution. Explicitly,

			:<math>g(k) = \frac{2 e^{-k}}{(1+e^{-k})^2} \mbox{ for } k\geq 0. \!</math>

			==References==
			*{{cite book \| last = George \| first = Olusengun \| coauthors = Meenakshi Devidas \| editor = N. Balakrishnan \| title = Handbook of the Logistic Distribution \| year = 1992 \| publisher = Marcel Dekker, Inc. \| location = New York \| pages = 232–234 \| chapter = Some Related Distributions \| isbn = 0-8247-8587-8}}

			*{{cite journal \| first = A.K. \| last = Olapade \|date=February 2003 \| title = On Characterizations of the Half-Logistic Distribution \| journal = InterStat, \| issue = 2 \| url = http://interstat.statjournals.net/YEAR/2003/articles/0302002.pdf}}

			{{ProbDistributions\|half-logistic distribution}}

			[[Category:Continuous distributions]]
			[[Category:Probability distributions]]

en>BattyBot: changed {{no footnotes}} to {{more footnotes}} & general fixes using AWB (8097)

2012-07-16T09:52:33Z

changed {{no footnotes}} to {{more footnotes}} & general fixes using AWB (8097)

New page

Hi there, I am Sophia. I've usually loved residing in Kentucky but now I'm considering other options. Credit authorising is how she tends to make a living. My spouse doesn't like it the way I do but what I truly like doing is caving but I don't have the time recently.<br><br>Here is my web site: live psychic reading ([http://netwk.hannam.ac.kr/xe/data_2/85669 netwk.hannam.ac.kr])

← Older revision		Revision as of 18:09, 13 December 2014
Line 1:		Line 1:
	~~{{Probability distribution\|~~		Hi there, I am Alyson Pomerleau and I think it seems fairly great when you say it. Her family life in Ohio. Office supervising is what she does for a living. As a lady what she truly likes is fashion and she's been doing it for fairly a whilst.<br><br>Have a look at my site ... free psychic ([http://1.234.36.240/fxac/m001_2/7330 1.234.36.240])
	~~name =Half-logistic distribution\|~~
	~~type =density\|~~
	~~pdf_image =[[Image:Half-logistic distribution pdf.svg\|325px\|Probability density plots of half-logistic distribution]]\|~~
	~~cdf_image =[[Image:Half-logistic distribution cdf~~.~~svg\|325px\|Cumulative distribution plots of half-logistic distribution]]\|~~
	~~parameters =\|~~
	~~support =<math>k \~~in ~~[0;\infty)\!</math>\|~~
	~~pdf =<math>\frac{2 e^{-k}}{(1+e^{-k})^2}\!</math>\|~~
	~~cdf =<math>\frac{1-e^{-k}}{1+e^{-k}}\!</math>\|~~
	~~mean =<math>\log_e(4)=1.386\ldots</math>\|~~
	~~median =<math>\log_e(3)=1.0986\ldots</math>\|~~
	~~mode =0\|~~
	~~variance =<math>\pi^2/3-(\log_e(4))^2=1~~.~~368\ldots</math>\|~~
	~~skewness =\|~~
	~~kurtosis =\|~~
	~~entropy =\|~~
	~~mgf =\|~~
	~~char =\|~~
	}}



	~~In [[probability theory]] and [[statistics]], the '''half-logistic distribution'''~~ is a ~~continuous [[probability distribution]]—the distribution of the absolute value of a [[random variable]] following the [[logistic distribution]]~~. ~~That is, for~~

	~~:<math>X = \|Y\| \!</math>~~

	~~where ''Y'' is~~ a ~~logistic random variable, ''X''~~ is ~~a half-logistic random variable.~~

	~~== Specification ==~~
	~~=== Cumulative distribution function ===~~

	~~The [[cumulative distribution function]] (cdf) of the half-logistic distribution is intimately related to the cdf of the logistic distribution. Formally, if ''F''(''k'~~'~~) is the cdf~~ for ~~the logistic distribution, then ''G''(''k'') = 2''F''(''k'') − 1 is the cdf of~~ a ~~half-logistic distribution~~. ~~Specifically,~~

	:<~~math~~>~~G(k) = \frac{1-e^{-k}}{1+e^{-k}} \mbox{ for } k\geq 0. \!~~<~~/math~~>

	~~=== Probability density function ===~~

	~~Similarly, the [[probability density function]] (pdf) of the half-logistic distribution is ''g''(''k'') = 2''f''(''k'') if ''f''(''k'') is the pdf of the logistic distribution. Explicitly,~~

	~~:<math>g(k) = \frac{2 e^{-k}}{(1+e^{-k})^2} \mbox{ for } k\geq 0~~. ~~\!</math>~~

	~~==References==~~
	*{{cite book \| last = George \| first = Olusengun \| coauthors = Meenakshi Devidas \| editor = N. ~~Balakrishnan \| title = Handbook of the Logistic Distribution \| year = 1992 \| publisher = Marcel Dekker, Inc~~. ~~\| location = New York \| pages = 232–234 \| chapter = Some Related Distributions \| isbn = 0-8247-8587-8}}~~

	*{{cite journal \| first = A.K. \| last = Olapade \|date=February 2003 \| title = On Characterizations of the Half-Logistic Distribution \| journal = InterStat, \| issue = 2 \| url = http://~~interstat~~.~~statjournals~~.~~net~~/~~YEAR~~/~~2003~~/~~articles/0302002~~.~~pdf}}~~

	~~{{ProbDistributions\|half-logistic distribution}}~~

	~~[[Category:Continuous distributions]]~~
	~~[[Category:Probability distributions]~~]

← Older revision		Revision as of 18:47, 24 December 2013
Line 1:		Line 1:
	~~Hi there~~, ~~I am Sophia~~. I'~~ve usually loved residing in Kentucky but now I~~'~~m considering other options~~. ~~Credit authorising~~ is ~~how she tends~~ to ~~make a living~~. ~~My spouse doesn~~'~~t like it~~ the ~~way I do but what I truly like doing~~ is ~~caving but I don't have~~ the ~~time recently~~.<br><br>~~Here~~ is ~~my web site~~: ~~live psychic reading~~ ([http://~~netwk~~.~~hannam~~.~~ac.kr~~/xe/~~data_2~~/~~85669 netwk~~.~~hannam.ac.kr~~])		{{Probability distribution\|
			name =Half-logistic distribution\|
			type =density\|
			pdf_image =[[Image:Half-logistic distribution pdf.svg\|325px\|Probability density plots of half-logistic distribution]]\|
			cdf_image =[[Image:Half-logistic distribution cdf.svg\|325px\|Cumulative distribution plots of half-logistic distribution]]\|
			parameters =\|
			support =<math>k \in [0;\infty)\!</math>\|
			pdf =<math>\frac{2 e^{-k}}{(1+e^{-k})^2}\!</math>\|
			cdf =<math>\frac{1-e^{-k}}{1+e^{-k}}\!</math>\|
			mean =<math>\log_e(4)=1.386\ldots</math>\|
			median =<math>\log_e(3)=1.0986\ldots</math>\|
			mode =0\|
			variance =<math>\pi^2/3-(\log_e(4))^2=1.368\ldots</math>\|
			skewness =\|
			kurtosis =\|
			entropy =\|
			mgf =\|
			char =\|
			}}



			In [[probability theory]] and [[statistics]], the '''half-logistic distribution''' is a continuous [[probability distribution]]—the distribution of the absolute value of a [[random variable]] following the [[logistic distribution]]. That is, for

			:<math>X = \|Y\| \!</math>

			where ''Y'' is a logistic random variable, ''X'' is a half-logistic random variable.

			== Specification ==
			=== Cumulative distribution function ===

			The [[cumulative distribution function]] (cdf) of the half-logistic distribution is intimately related to the cdf of the logistic distribution. Formally, if ''F''(''k'') is the cdf for the logistic distribution, then ''G''(''k'') = 2''F''(''k'') − 1 is the cdf of a half-logistic distribution. Specifically,

			:<math>G(k) = \frac{1-e^{-k}}{1+e^{-k}} \mbox{ for } k\geq 0. \!</math>

			=== Probability density function ===

			Similarly, the [[probability density function]] (pdf) of the half-logistic distribution is ''g''(''k'') = 2''f''(''k'') if ''f''(''k'') is the pdf of the logistic distribution. Explicitly,

			:<math>g(k) = \frac{2 e^{-k}}{(1+e^{-k})^2} \mbox{ for } k\geq 0. \!</math>

			==References==
			*{{cite book \| last = George \| first = Olusengun \| coauthors = Meenakshi Devidas \| editor = N. Balakrishnan \| title = Handbook of the Logistic Distribution \| year = 1992 \| publisher = Marcel Dekker, Inc. \| location = New York \| pages = 232–234 \| chapter = Some Related Distributions \| isbn = 0-8247-8587-8}}

			*{{cite journal \| first = A.K. \| last = Olapade \|date=February 2003 \| title = On Characterizations of the Half-Logistic Distribution \| journal = InterStat, \| issue = 2 \| url = http://interstat.statjournals.net/YEAR/2003/articles/0302002.pdf}}

			{{ProbDistributions\|half-logistic distribution}}

			[[Category:Continuous distributions]]
			[[Category:Probability distributions]]