central limit theorem


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"Central limit theorem" Introduction


From   Wikipedia , TutorVista
Wikipedia
central limit theorem : This article gives two concrete illustrations of the central limit theorem. Both involve the sum of independent and identically-distributed random variables and show how the probability distribution of the sum approaches the normal distribution as the number of terms in the sum increases...   More from Wikipedia

central limit theorem : In probability theory, the central limit theorem says that the sum of many independent identically-distributed random variables, when scaled appropriately, converges in distribution to a standard normal distribution. The martingale central limit theorem generalizes this result to martingales,..   More from Wikipedia

Limitations of the theorem
Since a velocity gradient exists across the tube, the mean velocity of the liquid is to be considered. The viscous drag which comes into play when the liquid is in motion, is not taken into account. In above conservation principle, part of K.E. is converted into heat..
Limits (Contd....)
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose Since f is sandwiched between two functions g and h, the above theorem is known as sandwich theorem..

"Central limit theorem" Videos


From   Youtube
  The CLT says the sample mean will be normally distributed regardless of the population distribution; it's power is uncanny.
  The Central Limit Theorem, Part 1 of 2 Produced by Kent Murdick Instructor of Mathematics Univeristy of South Alabama

"Central limit theorem" Questions & Answers


From   Yahoo Answers
Question : I need to understand how the central limit theorem ties into confidence intervals and hypothesis tests. Thanks.

Answer : If you have a large sample size (~>=30), you can use the central limit theorem to say the resulting distribution is approximately normally distributed. You can then use Z- or t-tables to calculate the confidence intervals or use Z- or t-statistics in hypothesis tests...   More from Yahoo Answers

Question : Have to write a 4 paragraph essay on what is the central limit theorem is used for. This is for my statistics class.

Answer : Start by going here: http://en.wikipedia.org/wiki/Central_limit_theorem but be sure to read some original papers, write your essay in your own words, and cite all of your sources! ;)..   More from Yahoo Answers

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