Gini coefficient

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP





.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0;







up vote
1
down vote

favorite












Hi I’m learning about inequality measures, there are several ways to calculate it and i understand all but 1.



$kappa = frac2E(X)$



I’m not sure what the second x means in the case of random variables.



Thanks for your help






gini







share|cite|improve this question



















  • 1




    Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
    – Glen_b♦
    4 hours ago











  • Thanks I edited my post
    – Petra
    16 mins ago
















up vote
1
down vote

favorite












Hi I’m learning about inequality measures, there are several ways to calculate it and i understand all but 1.



$kappa = frac2E(X)$



I’m not sure what the second x means in the case of random variables.



Thanks for your help






gini







share|cite|improve this question



















  • 1




    Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
    – Glen_b♦
    4 hours ago











  • Thanks I edited my post
    – Petra
    16 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











Hi I’m learning about inequality measures, there are several ways to calculate it and i understand all but 1.



$kappa = frac2E(X)$



I’m not sure what the second x means in the case of random variables.



Thanks for your help






gini







share|cite|improve this question















Hi I’m learning about inequality measures, there are several ways to calculate it and i understand all but 1.



$kappa = frac2E(X)$



I’m not sure what the second x means in the case of random variables.



Thanks for your help






gini




gini






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 17 mins ago

























asked 5 hours ago









Petra

555




555







  • 1




    Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
    – Glen_b♦
    4 hours ago











  • Thanks I edited my post
    – Petra
    16 mins ago












  • 1




    Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
    – Glen_b♦
    4 hours ago











  • Thanks I edited my post
    – Petra
    16 mins ago







1




1




Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
– Glen_b♦
4 hours ago





Put $kappa = frac2E(X)$ to get $kappa = frac2E(X)$.... MathJax quick reference: math.meta.stackexchange.com/questions/5020/…
– Glen_b♦
4 hours ago













Thanks I edited my post
– Petra
16 mins ago




Thanks I edited my post
– Petra
16 mins ago










1 Answer
1






active

oldest

votes

















up vote
3
down vote













The numerator of the Gini index is the expected value of the difference, in absolute value, between the earnings (if $x$ denotes earnings) of two random individuals in the population.



In mathematical terms, the expectation here is taken over two random variables $x$ and $x'$, taken as independent and identically distributed. If I rewrite the Gini with $x_1$ and $x_2$ for convenience, and if $F(.)$ denotes the cdf of these random variables:
$$
G = frac1E(X)int int |x_1 - x_2| dF(x_1) dF(x_2),
$$
where:
$$
E(X) = int x dF(x).
$$



You could find more information on the Wikipedia page of the Gini index.






share|cite|improve this answer


















  • 1




    See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
    – Nick Cox
    4 hours ago










Your Answer




StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "65"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
convertImagesToLinks: false,
noModals: false,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













 

draft saved


draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f368432%2fgini-coefficient%23new-answer', 'question_page');

);

Post as a guest

















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
3
down vote













The numerator of the Gini index is the expected value of the difference, in absolute value, between the earnings (if $x$ denotes earnings) of two random individuals in the population.



In mathematical terms, the expectation here is taken over two random variables $x$ and $x'$, taken as independent and identically distributed. If I rewrite the Gini with $x_1$ and $x_2$ for convenience, and if $F(.)$ denotes the cdf of these random variables:
$$
G = frac1E(X)int int |x_1 - x_2| dF(x_1) dF(x_2),
$$
where:
$$
E(X) = int x dF(x).
$$



You could find more information on the Wikipedia page of the Gini index.






share|cite|improve this answer


















  • 1




    See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
    – Nick Cox
    4 hours ago














up vote
3
down vote













The numerator of the Gini index is the expected value of the difference, in absolute value, between the earnings (if $x$ denotes earnings) of two random individuals in the population.



In mathematical terms, the expectation here is taken over two random variables $x$ and $x'$, taken as independent and identically distributed. If I rewrite the Gini with $x_1$ and $x_2$ for convenience, and if $F(.)$ denotes the cdf of these random variables:
$$
G = frac1E(X)int int |x_1 - x_2| dF(x_1) dF(x_2),
$$
where:
$$
E(X) = int x dF(x).
$$



You could find more information on the Wikipedia page of the Gini index.






share|cite|improve this answer


















  • 1




    See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
    – Nick Cox
    4 hours ago












up vote
3
down vote










up vote
3
down vote









The numerator of the Gini index is the expected value of the difference, in absolute value, between the earnings (if $x$ denotes earnings) of two random individuals in the population.



In mathematical terms, the expectation here is taken over two random variables $x$ and $x'$, taken as independent and identically distributed. If I rewrite the Gini with $x_1$ and $x_2$ for convenience, and if $F(.)$ denotes the cdf of these random variables:
$$
G = frac1E(X)int int |x_1 - x_2| dF(x_1) dF(x_2),
$$
where:
$$
E(X) = int x dF(x).
$$



You could find more information on the Wikipedia page of the Gini index.






share|cite|improve this answer














The numerator of the Gini index is the expected value of the difference, in absolute value, between the earnings (if $x$ denotes earnings) of two random individuals in the population.



In mathematical terms, the expectation here is taken over two random variables $x$ and $x'$, taken as independent and identically distributed. If I rewrite the Gini with $x_1$ and $x_2$ for convenience, and if $F(.)$ denotes the cdf of these random variables:
$$
G = frac1E(X)int int |x_1 - x_2| dF(x_1) dF(x_2),
$$
where:
$$
E(X) = int x dF(x).
$$



You could find more information on the Wikipedia page of the Gini index.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited 4 hours ago

























answered 5 hours ago









Roland

38115




38115







  • 1




    See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
    – Nick Cox
    4 hours ago












  • 1




    See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
    – Nick Cox
    4 hours ago







1




1




See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
– Nick Cox
4 hours ago




See also, quite independently of income inequality and so forth, the ideas of $L$-moments.
– Nick Cox
4 hours ago

















 

draft saved


draft discarded















































 


draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f368432%2fgini-coefficient%23new-answer', 'question_page');

);

Post as a guest
































































Comments

Post a Comment

Popular posts from this blog

Long meetings (6-7 hours a day): Being “babysat” by supervisor

Image
Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote 31 down vote favorite 4 I hold a PhD in mechanical engineering with a 7 year background in self-guided, self-paced research including 2 years as a graduate level course instructor and a subject matter expert for various engineering projects in a university setting in the United States. For the last 10-11 months, I am working in a research industry in France where my task is to debug C++ spaghetti code written over a period of several years by my current supervisor. It is a team of 2: just I and my supervisor. Diurnally, I am posed with a "bug of the day" to get out of this C++ code. My supervisor generally gives me about 15-30 minutes to solve it and then accosts me about whether or not the task is completed and then rinses and repeats this until the end of the day. Off-late, my supervisor has been holding 6-7 hour long "meetin
Read more

Is the Concept of Multiple Fantasy Races Scientifically Flawed? [closed]

Image
Clash Royale CLAN TAG #URR8PPP up vote 2 down vote favorite Many fantasy worlds have multiple humanoid species (elves, orcs, humans, etc) living in the same world, in addition to that, they often have the ability to interbreed. And I can't help but question their believability... fantasy-races reproduction interspecies-relations share | improve this question edited Aug 9 at 14:46 Michael Kjörling ♦ 21.1k 10 85 161 asked Aug 9 at 13:13 Chlodio 118 6 closed as unclear what you're asking by MichaelK, Gryphon, John, Vincent, Frostfyre Aug 9 at 15:25 Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question. 3 Stack Exchange exist to
Read more

Confectionery

Image
Prepared foods made with a lot of sugar or other cabohydrates "Sweetmeat" redirects here. For the racehorse, see Sweetmeat (horse). Not to be confused with Sweetbread. This Kransekake is a traditional Scandinavian baker's confection. Confectionery is the art of making confections , which are food items that are rich in sugar and carbohydrates. Exact definitions are difficult. [1] In general, though, confectionery is divided into two broad and somewhat overlapping categories, bakers' confections and sugar confections. [2] Bakers' confectionery, also called flour confections , includes principally sweet pastries, cakes, and similar baked goods. Sugar confectionery includes candies ( sweets in British English), candied nuts, chocolates, chewing gum, bubble gum, pastillage, and other confections that are made primarily of sugar. In some cases, chocolate confections (confections made of chocolate) are treated as a separate category, as are sugar-free versions of
Read more