Cataphora - Revision history

en>Frosty: Reverted edits by 202.156.121.162 (talk): unexplained content removal (HG)

2014-10-01T11:01:41Z

Reverted edits by 202.156.121.162 (talk): unexplained content removal (HG)

← Older revision		Revision as of 13:01, 1 October 2014
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	~~The writer~~ is ~~called~~ Araceli ~~Gulledge~~. Her ~~husband~~ and her ~~chose~~ to reside in ~~Alabama~~. ~~The thing she adores most~~ is ~~flower arranging~~ and ~~she is attempting to make it a occupation~~. ~~Interviewing is what she does but soon she'll be on her own~~.<br><br>~~Also~~ visit my ~~web~~ page - [http://~~family~~.Ec-~~win.ir~~/~~index.php?do=~~/~~profile-2088~~/~~info~~/ ~~auto warranty~~]		Nice to satisfy you, my name car warranty is [http://Autos.Jdpower.com/content/buying-tip/xa345A7/pros-and-cons-of-buying-an-extended-warranty-for-a-car.htm Araceli Oquendo] but I don't like when individuals use my full title. To play croquet is something that I've carried out for years. Her spouse and her selected to reside in Delaware but she needs to move because of her family. His [http://www.carelion.com/UserProfile/tabid/61/userId/107768/Default.aspx extended car warranty] warranty working day occupation is a [http://www.bankrate.com/finance/auto/automakers-best-car-warranties-1.aspx cashier] and his wage has been really [http://www.kaonthana.com/index.php?mod=users&action=view&id=5336 extended auto warranty] warranty satisfying.<br><br>Feel free to visit my page ... [http://Postarticle.net/30665/automotive-basics-the-way-to-employ-a-professional-mechanic/ http://Postarticle.net/]

en>Jason Quinn: WP:ORDER fix

2014-02-22T23:40:41Z

WP:ORDER fix

← Older revision		Revision as of 01:40, 23 February 2014
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	~~{{Probability distribution \|~~		The writer is called Araceli Gulledge. Her husband and her chose to reside in Alabama. The thing she adores most is flower arranging and she is attempting to make it a occupation. Interviewing is what she does but soon she'll be on her own.<br><br>Also visit my web page - [http://family.Ec-win.ir/index.php?do=/profile-2088/info/ auto warranty]
	~~name =hyperbolic\|~~
	~~type =density\|~~
	~~pdf_image =\|~~
	~~cdf_image =\|~~
	parameters =<math>\mu</math> [[location parameter\|location]] ([[real number\|real]])<br /><math>\alpha</math> <!--to do--> (real)<br /><math>\beta</math> asymmetry parameter (real)<br /><math>\delta</math> [[scale parameter]] (real)<br /><math>\gamma = \sqrt{\alpha^2 - \beta^2}</math>\|
	~~support =<math>x \in (-\infty; +\infty)\!</math>\|~~
	pdf =<math>\frac{\gamma}{2\alpha\delta K_1(\delta \gamma)} \; e^{-\alpha\sqrt{\delta^2 + (x - \mu)^2}+ \beta (x - \mu)}</math> <br /><br /><math>K_\lambda</math> denotes a modified Bessel function of the second kind\|
	~~cdf =<!-- to do -->\|~~
	~~mean =<math>\mu + \frac{\delta \beta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)}</math>\|~~
	~~median =<!-- to do -->\|~~
	~~mode =<math>\mu + \frac{\delta\beta}{\gamma}</math>\|~~
	variance =<math>\frac{\delta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)} + \frac{\beta^2\delta^2}{\gamma^2}\left(\frac{K_{3}(\delta\gamma)}{K_{1}(\delta\gamma)} -\frac{K_{2}^2(\delta\gamma)}{K_{1}^2(\delta\gamma)} \right)</math>\|
	~~skewness =<!-- to do -->\|~~
	~~kurtosis =<!-- to do -->\|~~
	~~entropy =<!-- to do -->\|~~
	~~mgf =<math>\frac{e^{\mu z}\gamma K_1(\delta \sqrt{ (\alpha^2 -(\beta +z)^2)})}{\sqrt{(\alpha^2 -(\beta +z)^2)}K_1 (\delta \gamma)} </math>\|~~
	~~char =<!-- to do -->\|~~
	}}

	The ~~'''hyperbolic distribution'''~~ is ~~a [[continuous probability distribution]] characterized by the logarithm of the [[probability density function]] being a [[hyperbola]]~~. ~~Thus the distribution decreases exponentially, which is more slowly than the [[normal distribution]]. It is therefore suitable~~ to ~~model phenomena where numerically large values are more probable than is the case for the normal distribution. Examples are returns from [[financial asset]]s and [[Turbulence\|turbulent]] wind speeds~~. The ~~hyperbolic distributions form a subclass of the [[generalised hyperbolic distribution]]s.~~

	~~The origin of the distribution~~ is ~~the observation by [[Ralph Alger Bagnold]], published in his book [[The Physics of Blown Sand~~ and ~~Desert Dunes]] (1941), that the logarithm of the histogram of the empirical size distribution of sand deposits tends~~ to ~~form~~ a ~~hyperbola~~. ~~This observation was formalised mathematically by [[Ole Barndorff-Nielsen]] in a paper in 1977,~~<~~ref~~>~~{{cite journal\|doi=10.1098~~/~~rspa.1977~~.~~0041\|last=Barndorff~~-~~Nielsen\|first=Ole\|year=1977\|title=Exponentially decreasing distributions for the logarithm of particle size\|journal=Proceedings of the Royal Society of London~~. ~~Series A, Mathematical and Physical Sciences\|volume=353\|issue=1674\|pages=401–409\|jstor=79167\|publisher=The Royal Society}}<~~/~~ref> where he also introduced the [[generalised hyperbolic distribution]], using the fact the a hyperbolic distribution is a random mixture of normal distributions~~.

	~~== References =~~=
	~~<references~~/>
	~~{{ProbDistributions\|continuous~~-~~infinite}}~~

	~~{{DEFAULTSORT:Hyperbolic Distribution}}~~
	~~[[Category:Continuous distributions]]~~
	~~[[Category:Probability distributions]~~]

81.241.182.239: grammar

2013-09-17T15:21:19Z

grammar

← Older revision		Revision as of 17:21, 17 September 2013
Line 1:		Line 1:
	~~The~~ name ~~of the author is Nestor. I currently reside in Alabama. Interviewing is what I~~ do ~~in my working day job. The thing I adore most flower arranging and now I have time to consider on new things.~~<br><br>~~My site~~ [~~http:~~//~~www.Pietreta.com~~/~~UserProfile~~/~~tabid~~/42/~~userId~~/~~8740~~/~~language~~/en-US/~~Default~~.~~aspx www~~.~~Pietreta~~.~~com~~]		{{Probability distribution \|
			name =hyperbolic\|
			type =density\|
			pdf_image =\|
			cdf_image =\|
			parameters =<math>\mu</math> [[location parameter\|location]] ([[real number\|real]])<br /><math>\alpha</math> <!--to do--> (real)<br /><math>\beta</math> asymmetry parameter (real)<br /><math>\delta</math> [[scale parameter]] (real)<br /><math>\gamma = \sqrt{\alpha^2 - \beta^2}</math>\|
			support =<math>x \in (-\infty; +\infty)\!</math>\|
			pdf =<math>\frac{\gamma}{2\alpha\delta K_1(\delta \gamma)} \; e^{-\alpha\sqrt{\delta^2 + (x - \mu)^2}+ \beta (x - \mu)}</math> <br /><br /><math>K_\lambda</math> denotes a modified Bessel function of the second kind\|
			cdf =<!-- to do -->\|
			mean =<math>\mu + \frac{\delta \beta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)}</math>\|
			median =<!-- to do -->\|
			mode =<math>\mu + \frac{\delta\beta}{\gamma}</math>\|
			variance =<math>\frac{\delta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)} + \frac{\beta^2\delta^2}{\gamma^2}\left(\frac{K_{3}(\delta\gamma)}{K_{1}(\delta\gamma)} -\frac{K_{2}^2(\delta\gamma)}{K_{1}^2(\delta\gamma)} \right)</math>\|
			skewness =<!-- to do -->\|
			kurtosis =<!-- to do -->\|
			entropy =<!-- to do -->\|
			mgf =<math>\frac{e^{\mu z}\gamma K_1(\delta \sqrt{ (\alpha^2 -(\beta +z)^2)})}{\sqrt{(\alpha^2 -(\beta +z)^2)}K_1 (\delta \gamma)} </math>\|
			char =<!-- to do -->\|
			}}

			The '''hyperbolic distribution''' is a [[continuous probability distribution]] characterized by the logarithm of the [[probability density function]] being a [[hyperbola]]. Thus the distribution decreases exponentially, which is more slowly than the [[normal distribution]]. It is therefore suitable to model phenomena where numerically large values are more probable than is the case for the normal distribution. Examples are returns from [[financial asset]]s and [[Turbulence\|turbulent]] wind speeds. The hyperbolic distributions form a subclass of the [[generalised hyperbolic distribution]]s.

			The origin of the distribution is the observation by [[Ralph Alger Bagnold]], published in his book [[The Physics of Blown Sand and Desert Dunes]] (1941), that the logarithm of the histogram of the empirical size distribution of sand deposits tends to form a hyperbola. This observation was formalised mathematically by [[Ole Barndorff-Nielsen]] in a paper in 1977,<ref>{{cite journal\|doi=10.1098/rspa.1977.0041\|last=Barndorff-Nielsen\|first=Ole\|year=1977\|title=Exponentially decreasing distributions for the logarithm of particle size\|journal=Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences\|volume=353\|issue=1674\|pages=401–409\|jstor=79167\|publisher=The Royal Society}}</ref> where he also introduced the [[generalised hyperbolic distribution]], using the fact the a hyperbolic distribution is a random mixture of normal distributions.

			== References ==
			<references/>
			{{ProbDistributions\|continuous-infinite}}

			{{DEFAULTSORT:Hyperbolic Distribution}}
			[[Category:Continuous distributions]]
			[[Category:Probability distributions]]

en>Pequod76: interlink it fix

2012-07-05T00:28:30Z

interlink it fix

New page

The name of the author is Nestor. I currently reside in Alabama. Interviewing is what I do in my working day job. The thing I adore most flower arranging and now I have time to consider on new things.<br><br>My site [http://www.Pietreta.com/UserProfile/tabid/42/userId/8740/language/en-US/Default.aspx www.Pietreta.com]

← Older revision		Revision as of 01:40, 23 February 2014
Line 1:		Line 1:
	~~{{Probability distribution \|~~		The writer is called Araceli Gulledge. Her husband and her chose to reside in Alabama. The thing she adores most is flower arranging and she is attempting to make it a occupation. Interviewing is what she does but soon she'll be on her own.<br><br>Also visit my web page - [http://family.Ec-win.ir/index.php?do=/profile-2088/info/ auto warranty]
	~~name =hyperbolic\|~~
	~~type =density\|~~
	~~pdf_image =\|~~
	~~cdf_image =\|~~
	parameters =<math>\mu</math> [[location parameter\|location]] ([[real number\|real]])<br /><math>\alpha</math> <!--to do--> (real)<br /><math>\beta</math> asymmetry parameter (real)<br /><math>\delta</math> [[scale parameter]] (real)<br /><math>\gamma = \sqrt{\alpha^2 - \beta^2}</math>\|
	~~support =<math>x \in (-\infty; +\infty)\!</math>\|~~
	pdf =<math>\frac{\gamma}{2\alpha\delta K_1(\delta \gamma)} \; e^{-\alpha\sqrt{\delta^2 + (x - \mu)^2}+ \beta (x - \mu)}</math> <br /><br /><math>K_\lambda</math> denotes a modified Bessel function of the second kind\|
	~~cdf =<!-- to do -->\|~~
	~~mean =<math>\mu + \frac{\delta \beta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)}</math>\|~~
	~~median =<!-- to do -->\|~~
	~~mode =<math>\mu + \frac{\delta\beta}{\gamma}</math>\|~~
	variance =<math>\frac{\delta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)} + \frac{\beta^2\delta^2}{\gamma^2}\left(\frac{K_{3}(\delta\gamma)}{K_{1}(\delta\gamma)} -\frac{K_{2}^2(\delta\gamma)}{K_{1}^2(\delta\gamma)} \right)</math>\|
	~~skewness =<!-- to do -->\|~~
	~~kurtosis =<!-- to do -->\|~~
	~~entropy =<!-- to do -->\|~~
	~~mgf =<math>\frac{e^{\mu z}\gamma K_1(\delta \sqrt{ (\alpha^2 -(\beta +z)^2)})}{\sqrt{(\alpha^2 -(\beta +z)^2)}K_1 (\delta \gamma)} </math>\|~~
	~~char =<!-- to do -->\|~~
	}}

	The ~~'''hyperbolic distribution'''~~ is ~~a [[continuous probability distribution]] characterized by the logarithm of the [[probability density function]] being a [[hyperbola]]~~. ~~Thus the distribution decreases exponentially, which is more slowly than the [[normal distribution]]. It is therefore suitable~~ to ~~model phenomena where numerically large values are more probable than is the case for the normal distribution. Examples are returns from [[financial asset]]s and [[Turbulence\|turbulent]] wind speeds~~. The ~~hyperbolic distributions form a subclass of the [[generalised hyperbolic distribution]]s.~~

	~~The origin of the distribution~~ is ~~the observation by [[Ralph Alger Bagnold]], published in his book [[The Physics of Blown Sand~~ and ~~Desert Dunes]] (1941), that the logarithm of the histogram of the empirical size distribution of sand deposits tends~~ to ~~form~~ a ~~hyperbola~~. ~~This observation was formalised mathematically by [[Ole Barndorff-Nielsen]] in a paper in 1977,~~<~~ref~~>~~{{cite journal\|doi=10.1098~~/~~rspa.1977~~.~~0041\|last=Barndorff~~-~~Nielsen\|first=Ole\|year=1977\|title=Exponentially decreasing distributions for the logarithm of particle size\|journal=Proceedings of the Royal Society of London~~. ~~Series A, Mathematical and Physical Sciences\|volume=353\|issue=1674\|pages=401–409\|jstor=79167\|publisher=The Royal Society}}<~~/~~ref> where he also introduced the [[generalised hyperbolic distribution]], using the fact the a hyperbolic distribution is a random mixture of normal distributions~~.

	~~== References =~~=
	~~<references~~/>
	~~{{ProbDistributions\|continuous~~-~~infinite}}~~

	~~{{DEFAULTSORT:Hyperbolic Distribution}}~~
	~~[[Category:Continuous distributions]]~~
	~~[[Category:Probability distributions]~~]

← Older revision		Revision as of 17:21, 17 September 2013
Line 1:		Line 1:
	~~The~~ name ~~of the author is Nestor. I currently reside in Alabama. Interviewing is what I~~ do ~~in my working day job. The thing I adore most flower arranging and now I have time to consider on new things.~~<br><br>~~My site~~ [~~http:~~//~~www.Pietreta.com~~/~~UserProfile~~/~~tabid~~/42/~~userId~~/~~8740~~/~~language~~/en-US/~~Default~~.~~aspx www~~.~~Pietreta~~.~~com~~]		{{Probability distribution \|
			name =hyperbolic\|
			type =density\|
			pdf_image =\|
			cdf_image =\|
			parameters =<math>\mu</math> [[location parameter\|location]] ([[real number\|real]])<br /><math>\alpha</math> <!--to do--> (real)<br /><math>\beta</math> asymmetry parameter (real)<br /><math>\delta</math> [[scale parameter]] (real)<br /><math>\gamma = \sqrt{\alpha^2 - \beta^2}</math>\|
			support =<math>x \in (-\infty; +\infty)\!</math>\|
			pdf =<math>\frac{\gamma}{2\alpha\delta K_1(\delta \gamma)} \; e^{-\alpha\sqrt{\delta^2 + (x - \mu)^2}+ \beta (x - \mu)}</math> <br /><br /><math>K_\lambda</math> denotes a modified Bessel function of the second kind\|
			cdf =<!-- to do -->\|
			mean =<math>\mu + \frac{\delta \beta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)}</math>\|
			median =<!-- to do -->\|
			mode =<math>\mu + \frac{\delta\beta}{\gamma}</math>\|
			variance =<math>\frac{\delta K_{2}(\delta \gamma)}{\gamma K_1(\delta\gamma)} + \frac{\beta^2\delta^2}{\gamma^2}\left(\frac{K_{3}(\delta\gamma)}{K_{1}(\delta\gamma)} -\frac{K_{2}^2(\delta\gamma)}{K_{1}^2(\delta\gamma)} \right)</math>\|
			skewness =<!-- to do -->\|
			kurtosis =<!-- to do -->\|
			entropy =<!-- to do -->\|
			mgf =<math>\frac{e^{\mu z}\gamma K_1(\delta \sqrt{ (\alpha^2 -(\beta +z)^2)})}{\sqrt{(\alpha^2 -(\beta +z)^2)}K_1 (\delta \gamma)} </math>\|
			char =<!-- to do -->\|
			}}

			The '''hyperbolic distribution''' is a [[continuous probability distribution]] characterized by the logarithm of the [[probability density function]] being a [[hyperbola]]. Thus the distribution decreases exponentially, which is more slowly than the [[normal distribution]]. It is therefore suitable to model phenomena where numerically large values are more probable than is the case for the normal distribution. Examples are returns from [[financial asset]]s and [[Turbulence\|turbulent]] wind speeds. The hyperbolic distributions form a subclass of the [[generalised hyperbolic distribution]]s.

			The origin of the distribution is the observation by [[Ralph Alger Bagnold]], published in his book [[The Physics of Blown Sand and Desert Dunes]] (1941), that the logarithm of the histogram of the empirical size distribution of sand deposits tends to form a hyperbola. This observation was formalised mathematically by [[Ole Barndorff-Nielsen]] in a paper in 1977,<ref>{{cite journal\|doi=10.1098/rspa.1977.0041\|last=Barndorff-Nielsen\|first=Ole\|year=1977\|title=Exponentially decreasing distributions for the logarithm of particle size\|journal=Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences\|volume=353\|issue=1674\|pages=401–409\|jstor=79167\|publisher=The Royal Society}}</ref> where he also introduced the [[generalised hyperbolic distribution]], using the fact the a hyperbolic distribution is a random mixture of normal distributions.

			== References ==
			<references/>
			{{ProbDistributions\|continuous-infinite}}

			{{DEFAULTSORT:Hyperbolic Distribution}}
			[[Category:Continuous distributions]]
			[[Category:Probability distributions]]