Fourth normal form: Difference between revisions

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{{Unreferenced|date=December 2009}}
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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]]

Latest revision as of 09:30, 27 June 2014

If you're on a busy schedule you may not have time to make elaborate meals, or restrict yourself from foods you love and serve the family. Here are 4 tips for fast fat reduction which won't take a great deal of time.

The Oatmeal Diet. If you want to lose weight fast, consider following an oatmeal diet for 7 to 10 days. During this time period, oatmeal usually be the principal dish for all three food. Oatmeal is nutritious and significant in fiber. Eating oatmeal can help you feel fuller and decrease the appetite causing you to get rid of fat. Eat a little fresh fruit or plain steamed vegetables because a side dish to aid keep the meals balanced whilst following this diet.

Diet Plan: It is important which you have right diet meal program which can help we reduce weight faster. Create sure that we follow a low carb, low fat and excellent protein diet. You must eat at fixed occasions each day that can aid we lose weight quicker. We should keep a diary which has an account of what we have consumed throughout the day. A glance at that diary helps we check the progress or shortcomings.

More lately, some businesses are creating it even easier for a breastfeeding mom to start losing fat. Slim Fast and Weight Watchers have a special diet plan just for nursing moms. The South Beach Diet may equally be used when you simply skip over Phase One of the plan. Many diets have today changed their plans to fit a nursing mother's needs.

Everyone wish To know how to lose weight fast for women plus you can lose it swiftly using pills however these have bad side effects. It's also possible to starve yourself by going on among the diets which cuts out food all together plus to lose fat immediately. You may have noticed that most those who do lose weight this way put it all back on again.

Every mother that chooses to breastfeeds frequently wonders if the baby is getting enough to eat plus if all is going perfectly. Because we cannot keep track of how several ounces the baby is taking in, it happens to be usually a wonder on a unique mom's mind. Some are even told which they require to eat a great deal of extra food while nursing to keep up with the milk supply. This really is turn scares some girl into thinking that losing fat while breastfeeding is not a superior idea. Breastfeeding shouldn't be looked on because a scary event. It is a stunning time inside a woman's lifetime.

If I like to lose 10lbs very swiftly, I constantly add 30 minutes of strolling or bicycle riding to my daily schedule. That alone usually result you to get rid of at least 1 pound of weight a week, causing we to get rid of weight even quicker.

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