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{"type":"standard","title":"Variance reduction","displaytitle":"Variance reduction","namespace":{"id":0,"text":""},"wikibase_item":"Q3454689","titles":{"canonical":"Variance_reduction","normalized":"Variance reduction","display":"Variance reduction"},"pageid":5187715,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/1/18/StratifiedPoints.gif/330px-StratifiedPoints.gif","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/1/18/StratifiedPoints.gif","width":400,"height":400},"lang":"en","dir":"ltr","revision":"1270768187","tid":"c3bc0f22-d7ac-11ef-a77b-366b07814f4e","timestamp":"2025-01-21T04:04:09Z","description":"Mathematical procedure for reducing the variance of statistical estimators","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Variance_reduction","revisions":"https://en.wikipedia.org/wiki/Variance_reduction?action=history","edit":"https://en.wikipedia.org/wiki/Variance_reduction?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Variance_reduction"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Variance_reduction","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Variance_reduction","edit":"https://en.m.wikipedia.org/wiki/Variance_reduction?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Variance_reduction"}},"extract":"In mathematics, more specifically in the theory of Monte Carlo methods, variance reduction is a procedure used to increase the precision of the estimates obtained for a given simulation or computational effort. Every output random variable from the simulation is associated with a variance which limits the precision of the simulation results. In order to make a simulation statistically efficient, i.e., to obtain a greater precision and smaller confidence intervals for the output random variable of interest, variance reduction techniques can be used.\nThe main variance reduction methods arecommon random numbers\nantithetic variates\ncontrol variates\nimportance sampling\nstratified sampling\nmoment matching\nconditional Monte Carlo\nand quasi random variables ","extract_html":"
In mathematics, more specifically in the theory of Monte Carlo methods, variance reduction is a procedure used to increase the precision of the estimates obtained for a given simulation or computational effort. Every output random variable from the simulation is associated with a variance which limits the precision of the simulation results. In order to make a simulation statistically efficient, i.e., to obtain a greater precision and smaller confidence intervals for the output random variable of interest, variance reduction techniques can be used.\nThe main variance reduction methods are
- common random numbers \n
- antithetic variates \n
- control variates \n
- importance sampling \n
- stratified sampling \n
- moment matching \n
- conditional Monte Carlo \n
- and quasi random variables
{"fact":"A cat's normal pulse is 140-240 beats per minute, with an average of 195.","length":73}
{"slip": { "id": 152, "advice": "Accept advice."}}
{"slip": { "id": 199, "advice": "Be brave. Even if you're not, pretend to be. No one can tell the difference."}}
{"fact":"Cats that live together sometimes rub each others heads to show that they have no intention of fighting. Young cats do this more often, especially when they are excited.","length":169}
{"fact":"Neutering a cat extends its life span by two or three years.","length":60}
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