Fourth normal form - Revision history

en>Vanamonde93: Reverted 1 edit by 115.112.231.119 identified as test/vandalism using STiki

2014-06-27T08:30:37Z

Reverted 1 edit by 115.112.231.119 identified as test/vandalism using STiki

← Older revision		Revision as of 10:30, 27 June 2014
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	~~{{Technical\|date=February 2013}}~~
	~~In [[probability theory]]~~ and ~~[[statistics]],~~ the '~~'k''th~~
	~~'''standardized moment'''~~ of ~~a [[probability distribution]] is~~ <~~math~~>~~\frac{\mu_k}{\sigma^k}\!~~<~~/math~~> ~~where~~ <~~math~~>~~\mu_k~~<~~/math~~> is ~~the ''k''th [[moment about the mean]]~~ and ~~σ is~~ the ~~[[standard deviation]]~~.

	~~It is~~ the ~~[[normalization (statistics)\|normalization]] of the ''k''th moment with respect to [[standard deviation]]~~. ~~The power of ''k'' is because moments scale as~~ <~~math~~>~~x^k~~<~~/math~~>, ~~meaning that~~ <~~math~~>~~\mu_k(\lambda X) = \lambda^k \mu_k(X)~~<~~/math~~>: ~~they are [[homogeneous polynomial]~~]s ~~of degree ''k'', thus~~ the ~~standardized moment is [[scale invariant]]~~. ~~This can also be understood as being because moments~~ have ~~dimension; in the above ratio defining standardized moments, the dimensions cancel, so they are [[dimensionless number]]s~~.

	* The first standardized moment is zero, because the ~~first moment about the mean~~ is ~~zero~~
	* The second standardized moment is ~~one, because the second moment about the mean is equal to the [[variance]] (the square~~ of the ~~standard deviation)~~
	* The third standardized moment is ~~the [[skewness]]~~
	* The fourth standardized moment is the [[kurtosis]]

	~~Note that for skewness and kurtosis alternative definitions exist~~, ~~which are based~~ on ~~the third and fourth [[cumulant]] respectively~~.

	~~==Other normalizations==~~
	~~{{Details\|Normalization (statistics)}}~~
	~~Another scale invariant, dimensionless measure for characteristics~~ of ~~a distribution is~~ the ~~[[coefficient of variation]], <math>\frac{\sigma}{\mu}</math>~~. ~~However, this~~ is not a ~~standardized moment, firstly~~ because it is a ~~reciprocal, and secondly because~~ <~~math~~>~~\mu~~<~~/math~~> ~~is the first moment about zero (the mean)~~, ~~not the first moment about the mean (which is zero)~~.

	~~See [[Normalization (statistics)]] for further normalizing ratios.~~

	~~==See also==~~
	*[[Coefficient of ~~variation]]~~
	*[[Moment (mathematics)]]
	*[[Central moment]]
	*[[Standard score#Other normalizations\|Standard score: Other normalizations]]

	~~{{Statistics}}~~

	~~{{DEFAULTSORT:Standardized Moment}}~~
	~~[[Category:Statistical deviation and dispersion]]~~
	~~[[Category:Statistical ratios]]~~
	~~[[Category:Theory~~ of ~~probability distributions]]~~

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-19T01:53:18Z

Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 03:53, 19 January 2014
Line 1:		Line 1:
	~~The sport іs really simple tо perform~~ and ~~a individual does not require to interact ѡith otɦer individuals օr with ɑ vendor. Video poker is a type ߋf on line casino sport based оn ɑ~~ [~~http://statusnet.mamalibre.com.ar/rcarlton Nätet Kasino~~] ~~five card draw poker that~~'s operated Ƅy a totally automatic machine. Аге ƴou searching the Web to oƅtain a rapid financial institution loan οn-line? Ƭhis waѕ dսring that time that tҺe game was struggling to turn oսt tο Ƅe officially acknowledged Ƅy casinos. Thе game was initially introduced thгoughout tҺe 1970s and wɑs recognized as thе '~~poker slots~~'~~. If 3 оr 4 Bonus trigger symbols land οn~~ a ~~payline, the Reel Reward Function~~ is ~~triggered. Don't үou wаnt to giѵe [http:~~/~~/Dict.Leo.org/?search=on-line+pokies on-line pokies] а chance?~~<br><br>		{{Unreferenced\|date=December 2009}}
			{{Technical\|date=February 2013}}
			In [[probability theory]] and [[statistics]], the ''k''th
			'''standardized moment''' of a [[probability distribution]] is <math>\frac{\mu_k}{\sigma^k}\!</math> where <math>\mu_k</math> is the ''k''th [[moment about the mean]] and σ is the [[standard deviation]].

	~~A match bonus іs cash maԀe accessible frօm аn online casino~~ to ~~ߋbtain to attempt tҺem oսt~~. ~~Tɦе numbеr is generаlly rather low and attainable. By taking advantage~~ of tɦese bonuses yߋu cоuld have an advantage on tҺe on line casino inside tɦe bгief operate. They are usսally bigger for initial time depositors, Ƅut somе online casino ɦave player loyalty applications. Тhe waƴ a match reward functions іs аn internet casino ԝill fit ʏoսr deposit ѡith casino credit. Yߋu will then shoulԀ play a designated quantity οf performs simply uses withdraw tɦis money. If tҺe match reward is ~~οne ɦundred%25 ɑnd you deposit $100 ƴou are heading to obtain $200 in casino credit.~~<br><br>ҬҺe coin іs flipped five times аnd tails has bеen opened five times in a row, the odds of heads shoԝing over the next 5 tгies is getting greater. Say you and І aгe betting that ɑ coin flip ѡill open heads. Ϲonsequently, ~~it woսld bе mucɦ betteг to wager~~ that ~~heads is ցoing to open ɑt minimum οnce mоre than the subsequent 5 tries.~~<br><br>~~More than ѕomething, you should be relaxed when taking part in video games. After all, you~~ are taking pɑrt in to enjoy tҺе video games. Simply becauѕe the more yoս belieνe about winning, tɦe much moгe you would be susceptible to making errors. Thɑt is why yоu ѕhould not play ԝith thе cash ƴou are not prepared to sɦed. Ѕo even prior tߋ you start taking paгt in, ƅelieve positively and belіeve of ~~taking pleasure in thе games.<br><br>Αllow~~'~~s сonsider ɑ loоk at sоme of tɦe [http://www.google.com/search?q=typical+types&btnI=lucky typical types] and see աhat~~'~~s fact or myth оr doesn~~'~~t matter. ОK~~, ~~so you accept ѕome or аll of~~ the ~~facts and factors fοr why you do want to play on-line. But you ɗo~~ [~~http://discendodiscimus.com/Create_A_Casinosidorna_Tillsammans_You_Can_Be_Proud_Of Bästa Casino~~] ~~hаve ѕome concerns.<br><br>They arе close in thе amount of occasions tɦаt they pay out~~. ~~Try to collect as mսch reward аs yоu~~ can ~~wҺiϲh will increase your successful possibilities. Ιf thе break uр is true sҺe may~~ be ~~going νia it alone. I ɦave place іn time uncovering a listing exciting terminology Ӏ thіnk you will want to know. Coming fгom "Action" іn purchase to "Color Up~~,~~Inch we~~ are ~~heading to go more than a lot of Black jack and web on line casino terminology to some extent a Blackjack phrases collection these days~~. ~~They are listed in alphabetical get~~, ~~consequently scroll all around if you need.<br><br>For on-line casinos~~, ~~gamers have to sign up to get those totally free on line casino bets, obtain software, and notice rules and regulations and netiquette. You can be booted out whenever. Just simply~~ because ~~you don't see your opponents, you don't have to be nasty. Just follow~~ the ~~guidelines and appreciate your favorite casino video games anytime and anywhere.<br><br>Slot machines are highly valued by~~ the ~~on line casino for their profitability. By~~ the ~~mid 1980's~~ the ~~microchip produced huge changes in~~ the ~~style and more intricate video games like these with 2nd screen bonus rounds created from there.~~ The slot machine's authentic objective in casinos was to maintain wives and girlfriends busy while the men did serious gambling. These slot devices remained popular until the late 1960's when electronic gadgets appeared. Small attention is ~~necessary once~~ the ~~slot~~ is on the ~~flooring~~, ~~except to empty~~ the ~~invoice tray nightly~~ and ~~refill the cash or paper for tickets~~. ~~These days~~, the ~~huge vast majority~~ of ~~earnings to casinos arrives from the slot machines with pit video games in 2nd location.~~<br><br>~~Once you have registered with an on-line on line casino for gambling remember that you are there to get and not to lose money~~. Do not ~~shed your awesome when you are dropping money. If you don't perform with~~ a ~~cool head then you might lose even much more. If you are losing too a lot then transfer on or stop. Keep your emotions under verify at all occasions. Remember knowledge~~ is ~~power. Always have~~ a ~~good technique~~ and ~~that can occur only if you are well knowledgeable.~~<br><br>~~His win to~~ the ~~Slot machine really did wonders for~~ the ~~popularity of~~ the ~~game. It encouraged most of~~ the ~~people to play this leisure sport~~. ~~The slot or pokies get individuals from across the world to arrive together~~ for ~~fun~~. ~~The word Aussie poker got well-known in the game because~~ of the triumphant win of a man title Aussie Joe Hachem in the year 2005.<br><br>However, you might find that this is not the situation in on-line Roulette, because if you have bad Web link, then it can impact the streaming of movies. The broadcast of reside Roulette is spontaneous and ~~steady so there are no glitches while watching the game~~ of ~~on line casino. The foremost benefit of playing live Roulette Television over online roulette is that it is flawless and it has no delays at all.~~		It is the [[normalization (statistics)\|normalization]] of the ''k''th moment with respect to [[standard deviation]]. The power of ''k'' is because moments scale as <math>x^k</math>, meaning that <math>\mu_k(\lambda X) = \lambda^k \mu_k(X)</math>: they are [[homogeneous polynomial]]s of degree ''k'', thus the standardized moment is [[scale invariant]]. This can also be understood as being because moments have dimension; in the above ratio defining standardized moments, the dimensions cancel, so they are [[dimensionless number]]s.

			* The first standardized moment is zero, because the first moment about the mean is zero
			* The second standardized moment is one, because the second moment about the mean is equal to the [[variance]] (the square of the standard deviation)
			* The third standardized moment is the [[skewness]]
			* The fourth standardized moment is the [[kurtosis]]

			Note that for skewness and kurtosis alternative definitions exist, which are based on the third and fourth [[cumulant]] respectively.

			==Other normalizations==
			{{Details\|Normalization (statistics)}}
			Another scale invariant, dimensionless measure for characteristics of a distribution is the [[coefficient of variation]], <math>\frac{\sigma}{\mu}</math>. However, this is not a standardized moment, firstly because it is a reciprocal, and secondly because <math>\mu</math> is the first moment about zero (the mean), not the first moment about the mean (which is zero).

			See [[Normalization (statistics)]] for further normalizing ratios.

			==See also==
			*[[Coefficient of variation]]
			*[[Moment (mathematics)]]
			*[[Central moment]]
			*[[Standard score#Other normalizations\|Standard score: Other normalizations]]

			{{Statistics}}

			{{DEFAULTSORT:Standardized Moment}}
			[[Category:Statistical deviation and dispersion]]
			[[Category:Statistical ratios]]
			[[Category:Theory of probability distributions]]

en>Mark Renier: // clean up using AWB

2012-06-24T14:53:13Z

// clean up using AWB

New page

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