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...Petunin inequality can be used to calculate a conservative confidence interval. The standard error of a sample from a population isthe standard deviation of the sampling distribution and may be estimated bythe formula: where is the standard deviation of the population distributionand N is the size (number of items) in the sample. A very important implication of this formula is that it...
http://www.all-about-all.info/article/Standard error (statistics)
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In mathematics , an alternating series is an infinite series of the form with a n ≥ 0. A finite sum of this kind is an alternating sum . A sufficient condition for the series to...is as follows (the only purpose of the brackets in the first line is to help clarity): A proof of this assertion runs along the lines: the greedy algorithm for σ is correct .
http://www.all-about-all.info/article/Alternating series
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In statistics , the Rao–Blackwell theorem , named after C.R. Rao and David Blackwell , describes a technique that can transform an absurdly crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. (Pronunciation: Rao rhymes with "cow".) Contents showTocToggle("show","hide") 1 Some prerequisite definitions...
http://www.all-about-all.info/article/Rao–Blackwell theorem
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...named after Carl Friedrich Gauss and Andrey Markov , states that in a linear model in which the errors have expectation zero and are uncorrelated and have equal variances, the best linear unbiased estimators of the coefficients are the least-squares estimators. More generally, the best linear unbiased estimator of any linear combination of the coefficients is its least-squares estimator. The errors...
http://www.all-about-all.info/article/Gauss–Markov theorem
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...1,302,161 1970 1,770,900 1980 2,718,215 1990 3,665,228 2000 5,130,632 As of 2004, Arizona had a population of 5,743,834 according Census Bureau estimates. The racial breakdown of the state is as follows: 63.8% White non-Hispanic 25.3% Hispanic 5% Native American 3.1% Black 1.8% Asian 2.9% Mixed race According to 2003 Census...
http://www.all-about-all.info/article/Arizona
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...Program that provides matching funds from the federal government for federal employees. The requirement was that ACLU employees must be checked against a federal anti-terrorism watch list. The ACLU estimates that it will lose approximately $500,000 in such contributions. See also: ACLU v. Ashcroft The ACLU has also opposed some campaign finance laws such as the Bipartisan Campaign Reform Act...
http://www.all-about-all.info/article/American Civil Liberties Union
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...metal in its appearance and physical properties, but does not chemically react as a metal. It is also attacked by oxidizing acids and halogens . Antimony and some of its alloys expand on cooling. Estimates of the abundance of antimony in the Earth 's crust range from 0.2 to 0.5 ppm . Antimony is chalcophile, occurring with sulfur and the heavy metals lead , copper , and silver . Applications...
http://www.all-about-all.info/article/Antimony
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...ان in Persian ) is a city in the Khuzestan province in southwestern Iran ( Persia ). It lies on Abadan Island, on the Arvand river. As of 2004 the population was estimated to be 327,300. Table of contents showTocToggle("show","hide") 1 History 1.1 Recent events 2 Places of Interest 3 Trivia 4 See also 5 References 6 External...
http://www.all-about-all.info/article/Abadan
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...786,272 1970 1,923,295 1980 2,286,435 1990 2,350,725 2000 2,673,400 As of 2003 , the state's population was 2,725,714 according to Census Bureau estimates. 48.8% is male, and 51.2% is female. Racially, Arkansas is: 78.6% White non-Hispanic 15.7% Black 3.2% Hispanic 0.8% Asian 0.7% Native American 1.3% Mixed race The five...
http://www.all-about-all.info/article/Arkansas
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...did not work in the fields. Arsenic was also rubbed into the faces and arms of women to improve their complexion. There is a massive epidemic of arsenic poisoning in Bangladesh , where it is estimated that approximately 57 million people are drinking groundwater with arsenic concentrations elevated above the World Health Organization 's standard of 50 parts per billion . The arsenic in...
http://www.all-about-all.info/article/Arsenic
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